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Âûïóñê 114 Õàðüêîâ 2001  xRKBQ}2BE)(h`z$ECJ?ASCKA!4E{99sq@dXg`2vBE\ l Χf97NI鱟Y\ ű9׫Cdv>xmm+]0jBwM+(\Rӹ{3F> `Ng63oP1PJ""Ey)q$ZT!ܘa6$1>{9gz{^: ]!ÂBNpZ#!BkBWtmv}o I/w[Wahn ke\WUmOPs׫ ]תͪVKf+-~6QѰz@md]EQVA]i\H? ^ c[CcTUpƛ snqޑl@=绖YI)=?N ͳ: }.<<5{~tXGo.jPZLyWgM* kwؚpU_uO[WX~'MLw*ߎyG⬟$ <f9y?疕W^WB\>a+B^" W(S,zDF_nGk!-Ǝ*;[W|tNyy߷S^ަrߔ\A%/)KʺߎU\ YWiӒc)GCguO[{ "wl\v]׵6.` 0?v60 & [#S\'hG`-ODy8 NͬᲰEunA@c3>zR0)w k4-Y8m: `hLa<4É0/le: ZeQ?fy%Ҧ#)Ω5*I#ꃬ_MqB)kR}6b'˜yEiɜ63)<%xxh}Kv"p?1/ :^~ē|zRy"wJd&{@xCR Wsâ+> Eb<"F7oGX'BbL_RmJ1MRFo8R'IBƴDU6%욐9r6~o5ݏ:s7 s <̓\ /}u ֓~uuq05E]EnyO*#X%f ~)2+9M۱) w,<.}ۣ:}9 2>eۙ*MW+½_ni!J3fVqGUELS1 }c3<] Q1!)aFa`ufZr^>Wpk%>ߪk9ȨENb)d{|A\P>C y qN^bYěWT >,-W°b0 ǝx<"йyN U= yڒ\ u|OhACy1e;hC0myМw˧/u2svCAQɘsȁuL3{pu90O;t"0ݛ]{Bgv/ș*ldܶ?g3hp^o)i;xcN[xx4Ȁu^r-~unCܹ_[V-vS$8q$?0>:{\wh֟[J:@'b1e IQpv`\vt*~Ma{VhGb&z)f +Yō]i=c2UQ6˾v|n8FyL^Ji_\>g1-9qerYc"|d9r<$z)}Y?=v I8} rza csoLrɯa&袮fk݃RwHVg 4H2# D 8Ti5ɲw N:lurkJWęjmVߗ.ksV7вۧ%%8c6X.8-pNz g3ouVX7b >,޺X6Xﳃy> Ǹg "ރʌﲌSU(tfWsQOǔP kB<2cp" (oNivWοP 7\ro] SqO¯#3_9sǼMЗ>qf =/+|mum{e*uCǥN>!cgmdc,׊x"? ?^T4G}ϿyX#N(#5',og,b?(/`?9?5ÿnytǒ~ԭ˘YF۹pf:21?zy\@Kiz~t~JӔZgL˅,܀ y?GtCԳqf8Ȟt!8pQ}hϽ j;yٷ9k<~:xڦӗxc<Q3:>Km%BLηcڝӼ։m0ƙMNwC|'5NVnX׉nom?ux߁g-%myo"+ >˼ Z>>|G?䛟Myٿ=Ko}i=;ߏw>޳_r 9gG\{vJ޳Sֽgē˅r+%^fe_AW|W?к2לtf.:%遞̵ГZFOk4ӊ=^7mdb?J5ƽXίi/ =Ю _9.y#>"( ;')6_cғ~9൞<<) =xxa=Oyeq)yc{}Tq:qo$UU>@?sJ( } }BWLh-'߲~G3~Ʒ11}CA3/ttG?FпNG?ƗeU= .Ԝ_,Z(p@G=br,ோ4R)w%۰Z6BF|Xgn]q`_nMW%6s >9WH/aO~&Z{N>!b$ h]n/Q}Mq+~+~[J\?HWl 4lYŹ7ŕ;V{Ͼ GwNuv9c[Iά ePX{LQszd-S]R9sO7"軔)[ΗSʶ@|]㴎>5tZ{K}GvBs^wB?h觢V wT1q9OKoeB#سU6?Z'yPr :'9n*d(]>3W]ِ28}rB^᝿[UwΒzN4&c=*8kW#,|{ h[^Tk!uoz~OkOYOh~óF#fJF1uGOز>}釞j.":k 1yA11}yhy,t@ns"ZUl\,ئx̽46i}a^ D݉K_xB~i釞ٲГ;ˀ WHǶcya)'G)`1͍T9g^!cO3kސH=w$}7e~sW'Gۥ$~*]k*sQuz-ҳm;wNG#~%ü[whNx eR<}mJnC-؀4ı2,^P"9݇P+k~_׃ZyB.Ο_^XME/RFDfֵu߲4[6`}d;lm?ZNw<33w?"Ƽ#( B^n6-V}yB5fOC5}-?/5]mu\uӝ{sJ֊;tP{1jrڷchG57S!͟w )#~w ?O k}M;!|:66?)?u} ul?4ߤu-ZCp"([_Sb__+ETZ_I2ѽ=-H} XROr[zy}-XwFS§/TsNN ^|hs=<Xh~9U+|Wk҉|VvSZ*܌&GiݪsA^xΚ6e}8^<%AC\ǷxmW1fT91>_8ƫ*Oj< !˜Td=i'UfK4Ҽ&F θw65:5_WϚɹ|k6 %`%_@vd*%@kvʒ'SqH9Ig|OQ.;s̱6IM/m8 u'ŗ"%N<-ZIwGi=)qc GA9iTw1 VG=Cd1ޔDZ:D:4uoqb])xf>Gtq,, 2 ÓÄÊ 62-50  ñáîðíèêå ïðåäñòàâëåíû ðåçóëüòàòû èññëåäîâàíèé, êàñàþùèõñÿ êîìïüþòåð- íîé èíæåíåðèè, óïðàâëåíèÿ, òåõíè÷åñêîé äèàãíîñòèêè, àâòîìàòèçàöèè ïðîåêòè- ðîâàíèÿ, îïòèìèçèðîâàííîãî èñïîëüçîâàíèÿ êîìïüþòåðíûõ ñåòåé è ñîçäàíèÿ èíòåëëåêòóàëüíûõ ýêñïåðòíûõ ñèñòåì. Ïðåäëîæåíû íîâûå ïîäõîäû, àëãîðèòìû è èõ ïðîãðàììíàÿ ðåàëèçàöèÿ â îáëàñòè àâòîìàòè÷åñêîãî óïðàâëåíèÿ ñëîæíûìè ñèñòåìàìè, îðèãèíàëüíûå èíôîðìàöèîííûå òåõíîëîãèè â íàóêå, îáðàçîâàíèè, ìåäèöèíå. Äëÿ ïðåïîäàâàòåëåé óíèâåðñèòåòîâ, íàó÷íûõ ðàáîòíèêîâ, ñïåöèàëèñòîâ, àñïè- ðàíòîâ. Ó çá³ðíèêó íàâåäåíî ðåçóëüòàòè äîñë³äæåíü, ùî ñòîñóþòüñÿ êîìï ’ þòåðíî¿ ³íæåíåð³¿, óïðàâë³ííÿ, òåõí³÷íî¿ ä³àãíîñòèêè, àâòîìàòèçàö³¿ ïðîåêòóâàííÿ, îïòè- ì³çîâàíîãî âèêîðèñòàííÿ êîìï ’ þòåðíèõ ìåðåæ ³ ñòâîðåííÿ ³íòåëåêòóàëüíèõ åêñ- ïåðòíèõ ñèñòåì. Çàïðîïîíîâàíî íîâ³ ï³äõîäè, àëãîðèòìè òà ¿õ ïðîãðàìíà ðåàë³çà- ö³ÿ â îáëàñò³ àâòîìàòè÷íîãî óïðàâë³ííÿ ñêëàäíèìè ñèñòåìàìè, îðèã³íàëüí³ ³íôîð- ìàö³éí³ òåõíîëî㳿 â íàóö³, îñâ³ò³, ìåäèöèí³. Äëÿ âèêëàäà÷³â óí³âåðñèòåò³â, íàóêîâö³â, ôàõ³âö³â, àñï³ðàíò³â. Ðåäàêöèîííàÿ êîëëåãèÿ: Â.Â. Ñåìåíåö, ä-ð òåõí. íàóê, ïðîô. (ãë. ðåä.), Ì.Ô. Áîíäàðåíêî, ä-ð òåõí. íàóê, ïðîô., È.Ä. Ãîðáåíêî, ä-ð òåõí. íàóê, ïðîô., Å.Ï. Ïóòÿòèí, ä-ð òåõí. íàóê, ïðîô., Â.Ï. Òàðàñåíêî, ä-ð òåõí. íàóê, ïðîô., Ã.È. Çàãàðèé, ä-ð òåõí. íàóê, ïðîô., À.Øòåôàí, äîêòîð-èíæåíåð, Ã.Ô. Êðèâóëÿ, ä-ð òåõí. íàóê, ïðîô., Î.Ã. Ðóäåíêî, ä-ð òåõí. íàóê, ïðîô., Í.Â. Àëèïîâ, ä-ð òåõí. íàóê, ïðîô., Å.Â. Áîäÿíñêèé, ä-ð òåõí. íàóê, ïðîô., Ý.Ã. Ïåòðîâ, ä-ð òåõí. íàóê, ïðîô., Â.Ô. Øîñòàê, ä-ð òåõí. íàóê, ïðîô., Â.Ì. Ëåâûêèí, ä-ð òåõí. íàóê, ïðîô., Â.È. Õàõàíîâ, ä-ð òåõí. íàóê, ïðîô. (îòâ. ðåä.). Ñâèäåòåëüñòâî î ãîñóäàðñòâåííîé ðåãèñòðàöèè ïå÷àòíîãî ñðåäñòâà ìàññîâîé èíôîðìàöèè Ê ¹ 4619 îò 18.10.2000 ã. Àäðåñ ðåäàêöèîííîé êîëëåãèè: Óêðàèíà, 61166, Õàðüêîâ, ïðîñï. Ëåíèíà, 14, Õàðüêîâñêèé ãîñóäàðñòâåííûé òåõíè÷åñêèé óíèâåðñèòåò ðàäèîýëåêòðîíèêè (ÕÒÓÐÝ), êîìí. 321, òåë. 40-93-26 © Õàðê³âñüêèé äåðæàâíèé òåõí³÷íèé óí³âåðñèòåò ðàä³îåëåêòðîí³êè, 2001 xqheǿm`ۦna# IEsr CtƜqRP@lPAR0eBL$lλ>=Γ|=}"F 6%bpdl!iCJ׼TRhbbasnI&i՘/<8]y;7 \3^۲r,"o4֠gfp9bzD |`?wg΂nիy|;? wA6gs6㣚)EItMZU\rfWA>T)rP;,6C4N;.ظvJ6Okm]ݶfc^+|ᓠĔAw)5ɘ&L#^`8{yL$tqUJhQLfz3uG/HkC^(b]I]6AM4 zDu m_{-w{5'k` y2 19ԨF? l x+.(G+xčጂ 0E?U`z~ljj Ϩ^Wk`?1 s@=uz?I7$HW΀} /ken'(dmr{eiu΂0Rxi8gdq;-? 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ÎÁ ÎÏÒÈÌÀËÜÍÎÑÒÈ ÏÐÎÖÅÄÓÐÛ ÊÎÌÏÀÐÀÒÎÐÍÎÉ ÈÄÅÍÒÈÔÈÊÀÖÈÈ ËÈÍÅÉÍÛÕ ÎÏÅÐÀÒÎÐÎÂ...........................................................................4 ÊÓ×ÅÐÅÍÊÎ Å.È. Ê ÏÐÎÁËÅÌÅ ÀÍÀËÈÇÀ ÄÎÑÒÈÆÈÌÎÑÒÈ ÖÅËÅÉ ÏÐÈÍÈÌÀÅÌÛÕ ÐÅØÅÍÈÉ ..................................................................................................................11 ÊÎÏÀÍÈÖÀ Â.Í., ÌÀÊÐÓØÀÍ È.À. ÊÎÐÏÎÐÀÒÈÂÍÀß ÊÎÌÏÜÞÒÅÐÍÀß ÑÅÒÜ Â ÏÐÎÈÇÂÎÄÑÒÂÅÍÍÎ-ÑÁÛÒÎÂÎÉ ÑÈÑÒÅÌÅ....................................................................17 ÏÎÍÎÌÀÐÅ Þ.Â., ÊÎÒÓÇÀ À.È., ÃÎÐÄÈÅÍÊÎ È.À. ÍÅËÈÍÅÉÍÀß ÑÎÑÒÀÂËßÞÙÀß ÎÑÍÎÂÍÎÉ ÎÒÍÎÑÈÒÅËÜÍÎÉ ÏÎÃÐÅØÍÎÑÒÈ ÐÀÑ×ÅÒÀ ÐÀÑÕÎÄÀ ÃÀÇÀ ÏÎ ÌÅÒÎÄÓ ÏÅÐÅÌÅÍÍÎÃÎ ÏÅÐÅÏÀÄÀ ÄÀÂËÅÍÈß.....................................................................................21 ÁÅÇÐÓÊ Â.Ì., ÒÈÕÎÍΠÂ.À., ÒÈÕÎÍΠÄ.Â. 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GK4?xƣ?3L3Dy^M2c}n7: 6EϯhSl;φϦhhS ۦϺ9_jЙk~jܲz/(ndSDL5! x*%ru˽Y'm6ߓ6N'߃Aۉmp6̃A9WI{NyMk-W(L;+mqg6[{f}nĹtL-yn-LyZRp>; m۷\pӧ{z= {1'WJ;'Qp?j1[Nr-Ex\+K2U]_ ᜇ^'moO'eb-Wct|Eg&ҎVZjnP^eJ|5r[3F#o,,5 Åñòåñòâåííûå òðåáîâàíèÿ, ïðåäúÿâëÿåìûå ê ëþáîé àêñèîìàòèêå, ñîñòîÿò â åå íåïðîòèâîðå÷èâîñòè, ïîëíîòå è íåçàâèñèìîñòè. Ñ ýòîé òî÷êè çðåíèÿ ðàññìàòðè- âàåìàÿ íàìè àêñèîìàòèêà óäîâëåòâîðÿåò ïåðâûì äâóì óñëîâèÿì. Ýòî ÿâëÿåòñÿ ñëåäñòâèåì äîêàçàííûõ â [2] àêñèîì, ãäå äàííûé íàáîð âûñòóïàåò â êà÷åñòâå íåîáõîäèìûõ è äîñòàòî÷íûõ óñëîâèé ëèíåéíîñòè ïðåäèêàòà Å. Çàìåòèì, ÷òî íåîáõîäèìîñòü ôàêòè÷åñêè ñâèäåòåëüñòâóåò î íåïðîòèâîðå÷èâîñòè, à äîñòàòî÷- íîñòü – î ïîëíîòå. Óñëîâèå íåçàâèñèìîñòè äîñòàòî÷íî ïîëíî íå èññëåäîâàëîñü. Îñíîâíàÿ öåëü ðàáîòû çàêëþ÷àåòñÿ â âîñïîëíåíèè ýòîãî ïðîáåëà è â ïîëó÷åíèè â íåêîòîðûõ ÷àñòíûõ ñëó÷àÿõ áîëåå ïðîñòûõ ôîðìóëèðîâîê àêñèîì. Ñëåäóåò ñêàçàòü, ÷òî íåçàâèñèìîñòü èíòåðåñíà íå òîëüêî ñàìà ïî ñåáå, íî è èìååò âàæíûé ïðàêòè÷åñêèé ñìûñë. Ïðîöåäóðà êîìïàðàòîðíîé èäåíòèôèêàöèè ïîäðàçóìåâàåò ýêñïåðèìåíòàëüíóþ ïðîâåðêó ñîîòâåòñòâóþùåãî íàáîðà àêñèîì äëÿ ïðåäèêàòà Å, ïîýòîìó åñòåñòâåííî ñòðåìëåíèå ê ïîñòàíîâêå íàèáîëåå îïòè- ìàëüíîãî (ïî çàòðàòàì) ýêñïåðèìåíòà.  ýòîì ñìûñëå òîëüêî íåçàâèñèìûå íàáîðû ìîãóò îáåñïå÷èâàòü îïòèìàëüíîñòü. Ïîñêîëüêó èìåííî îíè íå ñîäåðæàò “ ëèø- íèõ ” ñâîéñòâ, âûòåêàþùèõ èç îñòàëüíûõ, ýòî îçíà÷àåò, ÷òî â ýêñïåðèìåíòå ìû ïðîâåðÿåì ñàìîå íåîáõîäèìîå è ïðèíöèïèàëüíî óïðîñòèòü åãî íåâîçìîæíî. Òàêèì îáðàçîì, èññëåäóåì àêñèîìàòèêó ëèíåéíûõ ïðåäèêàòîâ íà íåçàâèñè- ìîñòü. Íåçàâèñèìîñòü îäíîé àêñèîìû îò äðóãèõ ìîæåò áûòü ïîêàçàíà òîãäà, êîãäà ñóùåñòâóåò ïðåäèêàò, íå îáëàäàþùèé ýòîé àêñèîìîé, íî îáëàäàþùèé âñåìè îñòàëüíûìè, ïîýòîìó äîêàçàòåëüñòâî íåçàâèñèìîñòè âûãëÿäèò â âèäå ïðèìåðîâ ïðåäèêàòîâ äëÿ êàæäîé àêñèîìû. Ñ äðóãîé ñòîðîíû, çàâèñèìîñòü ïîäðàçóìåâàåò âûâîä ýòîé àêñèîìû èç îñòàëüíûõ. Ñíà÷àëà îñòàíîâèìñÿ íà ýòîé ÷àñòè âîïðîñà. Óòâåðæäåíèå 1. Ïðîèçâîëüíûé ïðåäèêàò Å, çàäàííûé íà P , L ( P , L -ìåòðè- ÷åñêèå ïðîñòðàíñòâà) è óäîâëåòâîðÿþùèé àêñèîìàì ðåôëåêñèâíîñòè, àääèòèâ- íîñòè, n-ìåðíîñòè è íåïðåðûâíîñòè, ÿâëÿåòñÿ ñèììåòðè÷íûì è òðàíçèòèâíûì. Äîêàçàòåëüñòâî. Äîïóñòèì, äëÿ êàêîé-ëèáî ïàðû L y , x  èìååò ìåñòî   1 y , x E  . Çàìåòèì, ÷òî äëÿ ïðîèçâîëüíûõ x è y àääèòèâíîñòü è n-ìåðíîñòü âëå÷åò ñëåäóþùóþ öåïî÷êó ðàâåíñòâ:   I e x , x E n 1 i i i             ,     I e ] ) y ( x , y x E I e y , y E i n 1 i i i n 1 i i i                             . Åäèíñòâåííîñòü êîýôôèöèåíòîâ i  îçíà÷àåò, ÷òî       y x y x i i      , à òàê êàê ýòè ôóíêöèîíàëû íåïðåðûâíû, òî îíè è îäíîðîäíû, ñëåäîâàòåëüíî,     x x i i      . Èñïîëüçóÿ ýòî îáñòîÿòåëüñòâî èç ðàâåíñòâà   I y , x E  , íà áàçå ðåôëåêñèâíîñòè è àääèòèâíîñòè ïîëó÷èì   1 y , x E  ,     1 0 , y x E 1 y , y E       . Ñ ó÷åòîì n-ìåðíîñòè äåëàåì âûâîä, ÷òî   0 y x i    , n ,..., 1 i  . Íî òîãäà   0 x y i    (èç îäíîðîäíîñòè), n ,..., I i  , ò.å.   I 0 , x y E   èëè   I y , x E  . Ýòî è åñòü ñèììåòðè÷íîñòü ïðåäèêàòà Å. Äîêàæåì òðàíçèòèâíîñòü. Ïóñòü äëÿ òðåõ ýëåìåíòîâ L z , y , x  èìååò ìåñòî   I y , x E  ,   I z , y E  . Òîãäà, êàê áûëî ïîêàçàíî âûøå,     0 z y y x i i       , n ,..., 1 i  èëè   0 z x i    , ò.å.   I y , x E  . 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Äîïóñòèì, ÷òî íàéäåòñÿ åùå îäèí íàáîð êîýôôèöèåíòîâ   n 1 i i   , îòëè÷íûé îò ïðåäûäóùåãî, äëÿ êîòîðîãî ñïðàâåäëèâî   1 e x , x E n 1 i i i             . Òîãäà íà îñíîâàíèè îäíîðîäíîñòè è àääèòèâíîñòè ìîæíî çàïèñàòü       1 e x x , 0 E n 1 i i i i               . Îòñþ- äà ïî ðàíåå äîêàçàííîìó èìååì     n ,..., 1 i , x x i i     . Ñâîéñòâî n-ìåðíîñòè ïîëíîñòüþ äîêàçàíî. Òàêèì îáðàçîì, íàáîð 1) òåîðåìû 2 ýêâèâàëåíòåí íàáîðó 1) òåîðåìû 1. Ïîêàæåì, ÷òî ýòîìó óñëîâèþ óäîâëåòâîðÿþò âòîðûå íàáîðû. Èñïîëüçóÿ îäíîðîäíîñòü ïðè 0   , ïîëó÷àåì   1 0 , 0 E  . Òîãäà èç  -àääèòèâ- íîñòè ñëåäóåò, ÷òî   m ,..., 1 i , 1 u , u E i i   , ò.å. î – ðåôëåêñèâíîñòü. Îñòàíîâèìñÿ òåïåðü íà àääèòèâíîñòè. Ïóñòü   1 y , x E  , à L z  è    m 1 i i i u z z . Òîãäà îäíîðîäíîñòü è  -àääèòèâíîñòü ïîçâîëÿåò íàïèñàòü   . 1 1 u 1 z y , 1 u 1 z x E , 1 1 u y 1 1 z , 1 u x 1 1 z E , 1 y 1 1 z , x 1 1 z E                        Ïðîäîëæèâ ýòó ïðîöåäóðó äëÿ m 2 z ,..., z , îêîí÷àòåëüíî ïîëó÷èì   1 z y , z x E    , m u m x ... 1 u 1 x x    . Òîãäà äëÿ ïðîèçâîëüíîãî âåêòîðà ïîëó÷èì       , 1 m u m x ... 1 u 1 x , m u m x ... 1 u 1 x E ..., , 1 2 u 2 x 1 u 1 x , 2 u 2 x 1 u 1 x E , 1 1 u 1 x , 1 u 1 x E          ò.å.   1 x , x E  – ðåôëåêñèâíîñòü. Òåïåðü äîïóñòèì     1 v , u E , 1 y , x E   . Èç ðåôëåêñèâíîñòè ìîæíî çàïèñàòü   1 y , y E    ,   1 v , v E    ,   1 0 , y x E   ,   1 0 , u v E   . Ïðèìåíÿÿ î-òðàíçèòèâ- íîñòü, ïîëó÷àåì   1 v u , y x E    . Äîáàâëÿÿ òåïåðü ê êàæäîìó èç àðãóìåíòîâ ñíà÷àëà y , à çàòåì u , ïîëó÷àåì M<x pU׹1p p@<0JBҡ錭 3-T uh ´(/y ŊBWѷg)vd}t%GfJPz^|&/2y+]_:{*U7X_>_ߪj.xq-ʯ  ,LIAw锾h)ħ}Ežoʈ&[a48Ӹo#?goxԳ 7_o/w_sǦta>ʖ@JFej*w6vӤhͷ[0郏3R_+8>31 9~K +SYتL9zq9UX|cG` ![!-y?N9>zMΑXk Zȧ=O|ȽhqeΝ3%K~) Pz`+av+9c}m ˈKtaF`(lVE3sX38Rj(k '@غQßBןs.M0sz8@X.؞sso_ y*+!<*d,>iKULN%p|MZ7XN1parz!U}u -S-pAw?ܓծgGxw30; ?2e${V2andrzZ Rp7@MyJՖbi+ð;^NFVJZ`5$91׳9J{Ӏ\9/l9\\˱Ƃ{ w^|)tYLp>!cҋsxd]_Y}Lj>Wo+N\>,1w?xZWQ=NGmlǙor¬Ty;Ɔwd{Gf{GoY3,ǪF]w3[J[߱zלq,'p'ruOJHX]IL]^8y6vdQST7+[Gw;wWugj9Q]ͧV}ZB=8J2ȈL֤.g fZsDAҀ\L=Wi$n~&A>'"ݤ #:p<MT%aH6دWq_@P#?cl'PS~: qttbg|18sJ}:Ż]wa8zx9wx{=ݓ,&&ޛC[s'elYmo_Rl`P4>eC݋[Gm-s_jOMP==/ۊ/>%߷Y>5=v?u᜛]kq_Hdo#R`%o;,s[_YG^l0P>/1[1#XX[v}1 ~M]м799ru43RmiN=MrEF95ԵMt|"5:O1#Fѩ=SgSҜc к~Ֆ jAmt^}͏Dus<{OgGZco"uɿdHF dHFێ@]|K{ uk["8i,| r30*=@.j,p=oQO/z6^o_^[׳&\NHrBe) w!uv^b܎<:RX*bZk-Wq-`r\|UXK+s\F D*ɉ,,]zx_Ky}^^~~[rg晟?q#rfZpf-Tk7~]9GcS~T9 RM2?iti^52S:u7CM73G,v^z~TCjAץ҆]% 3A1B4ƇVl|jAMFY@Kӄyf){*icQ""OeVHsio^:Wz=3BG-ܲf}(\:1kVJi^skL>m+ǎY§q y?7/P|$]"m۶}p?L|/֊ 2>tbG.W~JQV>mq'ւrkb=a}8ȫ E'o_U6yXij,+5:,#5VMi qOlϱo( zh|w~v+nǞs =o讏>N,y]+Fo*$kzX4~'Jbz\r7N+prªq\VL7k_xlTNnvj?z{qQqS|!mk9k>k}aM8mļ6dP/oJ:꼼vo|/[eӭ9x=95ש?tgEWi9ذ7/w̹)X)|y4祘ѵ]̽~ި:1ri>_MYFJZ_ȹOs9Qaڹ[{WS{͗(m\nn/m{a;ϯK%A Ҍ x߭_WIv7CU| 3#wKV%ﶌoU|DsGG9A1T aO)#};I=|Iy,DO|`U'=|d|i]O 16%!<:53/{N sOxt8_+ڦGvObS ;ΫؽRԯ .n~6m9y׫~])m5 jA g >g ֫-E}˄⫒-; հ3z)ݦ} A(xЙ؝C#52;KRpm91`{4Q] \8_mƳS# % ;_pʿӯܠj)S>&m DSXű+~t0vy9XG<>˖/; < @n/hԣym|Է RsvȻ?㾻?S۷ɮΑW+Un{hg wpU ;%d?\xw_Ā/%*V=#+ rCJhļ-^UmGy`X}%R*GxMA}€esDM<:kԗ9uŸsWyk²^Ìg rٺ¸sZ7ݢ\gys>bnk۸e.zMC.,<[.)|| @xE [z4"{m8pxs=3cƢW^>r?7N]ǮL1x/{a2?4۶͓lhyh/5G7:+s | &>pw pZVl1ۻC,y"z;t`-DO;)cE^Z>>Пugr6|CLRzYm!t;pԅTa7~pUٞx sɎ'AJ _# 엵ǛگNwf,'ppypĊi:Tm۩Cr'>sW=׽Oȶ ɲmR4Kq rȻ.)mȢϤÕ-Zt˽JjnpUmξ'繓ۭ~\Zҭ(olF|HHqB13~v3/xr~xlڄn]:y??d= } e-͹ǔ.ý!~"Oֿ8N(GWky|=(y5pc1-]x뼇鶄eC>u'ɛҭ߼ JAQyRex_T1ٶ_=s{m9cme>ێvs ׁ7b~lHwyLA01Qp+V˺(\9a 4G7$["b+f]7<86"_ LoU ݦ;9ŵ{ğ<E]zN_Bp'/} ޞ'ȧ"_o綋xZ3_v [Gὂugex]:4 >uݞ2D;;S\>|vD]BoJ8~_Te+EKjzr517](]]c~pxd~ѿGvh CcH-']ۗ%?JHҪߵ9goi2n|k[<[َInWnPvtD-v'=tv[:؍VV}Vo3v+LBߤwnkZV*=ݮ,ZNn{U!v[tv[:؍V7n3?B$G%A.?7 ժ}h?L+nz :}0]OY;b"15<>|ĚCᝁ2i,˕T 4ƲF4~'E*Q6+ |hgUE\[jOt rc{ZxY5w5T}3>/4W >RZz'g}r>+o֘g֎4n|8O8Xr_'c}f 8</1u7`:E!ۣ>1禦bk ٙо(}{D++`Y~)6y KŲOS5A?u X;GgR|y O |y8HC:ڥЯKQPYIG6;*!ƨ#t :~!tM`07|W_ s<@@ e<"=:I`xeؽ%pƇJ[96ar[ƾGZSIo=)QtvIh9ى)H34_|Ffy8f([? 3ek`vG:=1Z.|+ۦ>2>zyx:%VgR.>0[8֗g͹S8WvZ]%uyGXH71zj&];)[Yu7:$GJ˺Z8teOfwU&ዀ*lw+>3)v3xRi:9>/rױd 5I4V %=@Cԫ}M\M<y* /ϸkE ]` W@G>8˥L6?|'Ϭ-to%]Ap犷JWϋbh~CZ[/u u(SZ%5: ړj#{ka#5J{%OD>28Fv6'?&U6_*N%o7ju(MYSE;5r,<̓fy<~yMzUY sςx ?4,,10   1 v y , u x E    , ÷òî îçíà÷àåò àääèòèâíîñòü. Ðàíåå áûëî ïîêàçàíî, ÷òî â ýòîì ñëó÷àå âûòåêàåò îáû÷íàÿ n-ìåðíîñòü, ñèì- ìåòðè÷íîñòü è òðàíçèòèâíîñòü ïðåäèêàòà. Òàêèì îáðàçîì, òåîðåìà 2 äîêàçàíà. Ïîñêîëüêó íàáîðû òåîðåìû 1 ÿâëÿþòñÿ íåñîêðàòèìûìè õàðàêòåðèñòè÷åñêèìè ñâîéñòâàìè ëèíåéíîãî ïðåäèêàòà, òî èç äîêàçàííîé âûøå òåîðåìû 2 ñëåäóåò, ÷òî íàáîðû ñâîéñòâ òåîðåìû 2 òàêæå ÿâëÿþòñÿ õàðàêòåðèñòè÷åñêèìè è íåñîêðàòè- ìûìè (â êà÷åñòâå ïðèìåðîâ ïðåäèêàòîâ äëÿ äîêàçàòåëüñòâà ýòîãî ôàêòà ìîãóò áûòü èñïîëüçîâàíû ïðåäèêàòû, ïðèâåäåííûå âûøå). Ïðè ýòîì âñå ñâîéñòâà ïðåòåðïåëè èçìåíåíèÿ, êðîìå îäíîðîäíîñòè. Åñòåñòâåííî ïîñòàâèòü âîïðîñ: ìîæ- íî ëè èçìåíèòü îäíîðîäíîñòü? Èìååòñÿ â âèäó, ÷òî íåîáõîäèìî ïðîâåðèòü íà ðàâåíñòâî òîëüêî êîíå÷íîå ÷èñëî êîìïàðàòîðíûõ âåêòîðîâ. Åñëè áû âûïîëíÿëàñü òàêàÿ ñèòóàöèÿ, òî â ñëó÷àå áåñêîíå÷íîãî ïîëÿ P (à íà ïðàêòèêå, êàê ïðàâèëî, èìåííî òàê, íàïðèìåð âåùåñòâåííûå ÷èñëà) ïîëó÷èëîñü áû, ÷òî âñÿêîå âåùå- ñòâåííîå ÷èñëî ìîæíî çàìåíèòü êîíå÷íîé ñóïåðïîçèöèåé ôèêñèðîâàííûõ ÷èñåë, ÷òî íåâîçìîæíî. Ïîýòîìó óïðîñòèòü â îïèñàííîì âûøå ñìûñëå ñâîéñòâî îäíîðîä- íîñòè íå óäàåòñÿ. Ïîäâîäÿ èòîãè, ìîæíî ñêàçàòü, ÷òî íàìè ïîëó÷åíû íàèáîëåå îïòèìàëüíûå íàáîðû õàðàêòåðèñòè÷åñêèõ ñâîéñòâ ëèíåéíûõ ïðåäèêàòîâ, ïîçâîëÿþùèõ ðå- øàòü çàäà÷ó ñòðóêòóðíîé èäåíòèôèêàöèè ëèíåéíûõ îïåðàòîðîâ êîìïàðàòîðíûì ñïîñîáîì. Ñïèñîê ëèòåðàòóðû: 1. Øàáàíîâ-Êóøíàðåíêî Þ.Ï. Òåîðèÿ èíòåëëåêòà: Ïðîáëåìû è ïåðñïåêòèâû. Ò.3. Õàðüêîâ, Âûùà øê., 1987. 158 ñ. 2. Øàáàíîâ-Êóøíàðåíêî Þ.Ï., Ðâà÷îâ Â.Ë., Ìóðàøêî À.Ã. Ìàòåìàòè÷í³ ìîäåë³ çîðó. Ê.: Òåõí³êà, 1966. 95 ñ. 3. Ãåðàñèí Ñ.Í. Ìàòåìàòè÷åñêèå ìîäåëè ïðîöåññîâ ñåíñîðíîé ôàêòîðèçàöèè è ïðèìåíåíèå äëÿ èäåíòè- ôèêàöèè ëèíåéíûõ ñèñòåì ìåòîäîì ñðàâíåíèÿ // Äèññ. êàíä. òåõí. íàóê. Õàðüêîâ, 1989. 134 ñ. 4. Øëÿõîâ Â.Â. Ìàòåìàòè÷åñêèå ìîäåëè ëèíåéíûõ ïðîöåññîâ ðåöåïñèè è èõ òåõíè÷åñêèå ïðèëîæåíèÿ // Äèññ. êàíä. òåõí. íàóê. Õàðüêîâ, 1984. 138 ñ. Ïîñòóïèëà â ðåäêîëëåãèþ 02.12.2000 Âîñêîáîéíèê Îëåã Íèêîëàåâè÷ , ñîèñêàòåëü ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ìàòå- ìàòè÷åñêèå ìåòîäû àíàëèçà ñëîæíûõ ñèñòåì. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. Ëåíèíà, 14, òåë. 40-93-72. Èâàùåíêî Âàëåðèé Âëàäèìèðîâè÷ , ñîèñêàòåëü ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ìàòåìàòè÷åñêèå ìåòîäû àíàëèçà ñëîæíûõ ñèñòåì. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. 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x!F~tc{y%/i,:넛/W^+딶^XX~s߂.ra/MF{= |5 *8`;Wq\U Ιߖ˷RcBTR'hm!=͉cig _'Ƚ\.8 WT|tY $,'1v@YB=&kK_C_>Si.8gX#dr%i\keY'O=ô}SP*̝?,[nIT|O) 3q!lTz '|¤ABto}T1B:-;^v٤j._"1kS^~E{hϿ-cp{cx)kcMmyn1~G{VD ekʿ%}݉__Q%uX!{}zc-,ueBtCUE1a[iG{Z7kדP2 MhZ7D!N7a6bApڙˑN(Yס\' NCJ2ipsuYrgNR\+W'>Ap\/:|bΫhq6N 3ڥs~] Sqz^[|߯Ж!R-S)#& .>tpbiCjå/jeZ9Yq2z8Q.yp5x+\FBCdG2/ \ }I{MqZe Xpi8c1TR6 syg,,12 Òàêèì îáðàçîì, ðåøåíèå çàäà÷è àíàëèçà äîñòèæèìîñòè öåëåé ïðèíÿòèÿ ðåøå- íèé âêëþ÷àåò èññëåäîâàíèå ïðîñòðàíñòâà ñîñòîÿíèé       ~ i A , âçàèìîäåéñòâóþùèõ íå÷åòêèõ ïðîöåññîâ       ~ i П è âûÿâëåíèå ôàêòà ñïðàâåäëèâîñòè óñëîâèé (1), (2). 3. Ïîäõîäû ê ðåøåíèþ çàäà÷è àíàëèçà äîñòèæèìîñòè öåëåé ïðèíèìàåìûõ ðåøåíèé Îïðåäåëèì ôàêòîðû, êîòîðûå ñóùåñòâåííûì îáðàçîì ìîãóò âëèÿòü íà äîñòè- æèìîñòü öåëåé ïðèíÿòèÿ ðåøåíèé â íå÷åòêîé ñðåäå ðàçâèòèÿ ïðîöåññîâ. Óòâåðæäåíèå 2. Ïîäìíîæåñòâî öåëåé ïðèíèìàåìûõ ðåøåíèé           ' ~ j s D ïðè çàäàííîì ïðîñòðàíñòâå íà÷àëüíûõ ñîñòîÿíèé       ~ oi A íåäîñòèæèìî, åñëè ñïðàâåä- ëèâà õîòÿ áû îäíà èç ñëåäóþùèõ ñèòóàöèé: à)     * 0 ~ 0 ~ ~ ~ k k П П i П i П i i            , (3) ãäå   * 0 ~ k i П  – ìèíèìàëüíî äîïóñòèìîå, èñõîäÿ èç ðàññìàòðèâàåìîé ñóùíîñòè, çíà÷åíèå ôóíêöèè ïðèíàäëåæíîñòè äëÿ ~ i П ïðîöåññà; 0 k – çíà÷åíèå ïåðåìåííîé k, îïðåäåëÿþùåå êîíêðåòíîå çíà÷åíèå ôóíêöèè   k i П ~  ; á) ñóùåñòâóåò ïî êðàéíåé ìåðå îäèí ïðîöåññ        i i П П ~ ~ , êîòîðûé íå ìîæåò áûòü ðàçðåøåí è . ~ , ~ ~ ~                        j s j s i i D false D П П ; (4) â) ñóùåñòâóåò íåïðåêðàùàþùååñÿ ñîñòîÿíèå âçàèìíîãî îæèäàíèÿ äâóõ èëè áîëåå ïðîöåññîâ (çàäà÷) è   . ~ , ~ ~ ~                  j s j s i D false D П П (5) Ñëåäñòâèå 2. Äîñòèãíóòûìè ïðîöåññàìè           ~ | i П áóäåì íàçûâàòü òàêîå ïîäìíî- æåñòâî ïðîöåññîâ                              ~ / ~ ~ / , i i i П П П , äëÿ êîòîðûõ íå âûïîëíÿåòñÿ íè îäíî èç óñëîâèé óòâåðæäåíèÿ 2. Çàìå÷àíèå.  äàëüíåéøåì, åñëè íå áóäóò âîçíèêàòü çàòðóäíåíèÿ â âîñïðèÿòèè ìàòåðèàëà, ñèìâîë “ | ” â ýëåìåíòàõ ïîäìíîæåñòâ                     ~ / ~ / , j S i D П áóäåì îïóñêàòü. 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G ? zg?Xv7ƥ{}P1:_.o.O1<+Фʑv̓P6"c`wP^2Byhc <H^Z:LM"f@]G 3o3V_.KwSƢe.[bb_Gky#϶QW@ƋsZ⯟a74rC^KGL4y3t}q,[KY*tP,ymlx }%?\*OVT[@AX6KKN :m1G~9/eaL'r[T !rz!+q3VONrG{[N3鷩]rWm-CFЅrF']nt GGYC6,nʑ$w~}dwrS\7uHqͯWG|(^+=#UeQ&9p7A_ UNF~[떝k[ޭݓPI(c2W67v0'|adl-.n{H|KR/4A}PQ1:N 7FwG7]Y1:CѽK^0SZkjᚍ;ߵ=]tkr8ZZүb|x04ocpkyֿ_:1Yq,_pܙ'5qWf ׯj(B7^;KDyC=:kOu^Әޱ-nKȽ>/4wx_-@=O +HD}ݍAz^!ki1XBXb{̣;UlP޻=݋E+ttx^> ],!],>˟s[FȨէ{띙z939Efmc__e[um&2jQ6Cx=FcDHf{!?ۣ|<s^uN%'wߴʟtGge>w,xPP7NYߗZ< " ,,13 Ñëåäñòâèå 3: – ñèòóàöèÿ à) óòâåðæäåíèÿ 2 îïðåäåëÿåò, ÷òî äëÿ ðåøåíèÿ çàäà÷è äîñòèæè- ìîñòè öåëåé (1), (2) òðåáóåòñÿ ìîäèôèêàöèÿ çíà÷åíèé   0 ~ k i П  â (3) òàêèì îáðàçîì, ÷òîáû     * 0 ~ 0 ~ ~ ~ k k П П i П i П i i            . (6) Äëÿ ðåøåíèÿ (6) â ðåàëüíûõ ñèñòåìàõ îáû÷íî ïðèâëåêàþò íåêîòîðûå äîïîë- íèòåëüíûå ðåñóðñû, õàðàêòåð, îáúåìû è òðóäîçàòðàòû êîòîðûõ îïðåäåëÿþòñÿ êîíêðåòíîé ïðåäìåòíîé îáëàñòüþ; – ñèòóàöèè á) è â) óòâåðæäåíèÿ 2 îòîáðàæàþò ëîãè÷åñêóþ íåàäåêâàòíîñòü öåëåé ïðîöåññîâ ïðèíÿòèÿ ðåøåíèé ïðåäìåòíîé îáëàñòè, ÷òî âûçûâàåò íåîáõî- äèìîñòü ìîäèôèêàöèè çàêîíîâ âçàèìîäåéñòâèÿ íå÷åòêèõ ïðîöåññîâ, à â ðÿäå ñëó÷àåâ òàêæå è ïîâûøåíèÿ èõ ÷åòêîñòè. 4. Àíàëèç äîñòèæèìîñòè öåëåé ïðèíèìàåìûõ ðåøåíèé ñ èñïîëüçîâàíèåì íå÷åòêèõ ñåòåâûõ ìîäåëåé Äëÿ ðåøåíèÿ ïîñòàâëåííîé çàäà÷è ïðèìåíèì ýôôåêòèâíûé àïïàðàò íå÷åòêèõ ñåòåâûõ ìîäåëåé (ÍÑÌ), îñíîâàííûé íà òåîðèè íå÷åòêèõ ðàñøèðåííûõ èíòåð- ïðåòèðîâàííûõ ñåòåé Ïåòðè [3,5,6,7] è òåîðèè íå÷åòêèõ ìíîæåñòâ [1]. Êðàòêî ïðèâåäåì ïðàâèëà èíòåðïðåòàöèè íå÷åòêèõ ïðîöåññîâ       ~ i П ðåàëüíûõ ñèñòåì â òåðìèíàõ ÍÑÌ: ìíîæåñòâî íå÷åòêèõ ïåðåõîäîâ ~ ~ T t i  ÍÑÌ   f S ~ èíòåð- ïðåòèðóåò ìíîæåñòâî íå÷åòêèõ äåéñòâèé       ~ r d ìîäåëèðóåìûõ íå÷åòêèõ ïðîöåñ- ñîâ       ~ i П ; ìíîæåñòâî íå÷åòêèõ ïîçèöèé ~ ~ P p j  ÍÑÌ   f S ~ èíòåðïðåòèðóåò ìíîæå- ñòâî íå÷åòêèõ óñëîâèé       ~ l U âûïîëíåíèÿ ìíîæåñòâà äåéñòâèé       ~ r d ; äèíàìèêà è ìíîæåñòâà ñîñòîÿíèé       i A ~ ìîäåëèðóåìûõ ïðîöåññîâ èíòåðïðåòèðóþòñÿ ïåðåìå- ùåíèåì íå÷åòêèõ ìåòîê     * 0 ~ 0 ~ ~ ~ k z k z p M j p j p j          èç ìíîæåñòâà ââîäíûõ íå÷åòêèõ ïîçèöèé         in p i ~ ðàçðåøåííîãî íå÷åòêîãî ïåðåõîäà ~ ~ T t i  â ìíîæåñòâî âûõîäíûõ íå÷åòíûõ ïîçèöèé         out p i ~ ðàññìàòðèâàåìîãî ïåðåõîäà ~ ~ T t i  ; ìíîæåñòâà âåêòî- ðîâ íà÷àëüíîé ìàðêèðîâêè         u f M ~ 0 , U u  , è âåêòîðîâ êîíå÷íîé ìàðêèðîâêè         u k f M ~ îòîáðàæàþò ñîîòâåòñòâåííî ìíîæåñòâà ïðîñòðàíñòâà íà÷àëüíûõ       ~ Oi A è êîíå÷íûõ ñîñòîÿíèé       ~ ki A . 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Èñõîäÿ èç ïðèâåäåííîãî âûøå, ïðîáëåìà äîñòèæèìîñòè â òåðìèíàõ ÍÑÌ âêëþ÷àåò àíàëèç, ïî êðàéíåé ìåðå, ñëåäóþùèõ àñïåêòîâ: – ñòðóêòóðíîé ëîãè÷åñêîé íåàäåêâàòíîñòè âçàèìîäåéñòâèÿ ïðîöåññîâ       i П ~ ïðåäìåòíîé îáëàñòè, êîòîðàÿ ïðèâîäèò ê îòñóòñòâèþ ìàðêèðîâàíèÿ 0 ) ( ~ ~ ~ ~    j j p M P p è íàðóøåíèÿ áåçîïàñíîñòè [8] íåêîòîðûõ ïîçèöèé ~ ~ P p j  , à òàêæå ê çàïðåùåííîñòè è êîíôëèêòíîñòè [8] íåêîòîðûõ ïåðåõîäîâ ~ ~ T t i   ; – íå÷åòêîñòè ïðîöåññîâ       i П ~ , êîòîðàÿ, èñõîäÿ èç ïðåäìåòíîé îáëàñòè, îïðåäå- ëÿåò çàïðåùåííîñòü íåêîòîðûõ ïåðåõîäîâ ~ ~ T t i   âñëåäñòâèå                                   * 0 ~ 0 ~ ~ ~ * 0 ~ 0 ~ ~ ~ k k P p k k T t j p j p j i t i t i     ; (8) – íå÷åòêîñòè âçàèìîäåéñòâèÿ ïðîöåññîâ       i П ~ , êîòîðàÿ, èñõîäÿ èç ïðåäìåòíîé îáëàñòè, îïðåäåëÿåò çàïðåùåííîñòü íåêîòîðûõ ïåðåõîäîâ ~ ~ T t i   âñëåäñòâèå                         * 0 0 0 0 * 0 0 0 0 ) k y k y k y k y k x k x k x k x ij ij ij ij ij ij ij ij         ; (9) – íå÷åòêîñòè ìàðêèðîâàíèÿ ïîçèöèé ~ P ÍÑÌ, êîòîðàÿ, èñõîäÿ èç ïðåäìåòíîé îáëàñòè, îïðåäåëÿåò çàïðåùåííîñòü íåêîòîðûõ ïåðåõîäîâ ~ ~ T t i   âñëåäñòâèå:     * 0 ~ 0 ~ ~ ~ ~ ~ k z k z p M p M j p j p j j                    , (10) ãäå     * 0 ~ 0 ~ , k z k z j p j p – çíà÷åíèå ñîîòâåòñòâåííî ôóíêöèè ïðèíàäëåæíîñòè è ìè- íèìàëüíî äîïóñòèìîãî åå çíà÷åíèÿ äëÿ ~ j p ïîçèöèè ÍÑÌ; – âûïîëíåíèÿ èñòèííîñòè íåêîòîðîãî ïðåäèêàòà L, îòîáðàæàþùåãî ñâîéñòâà ìíîæåñòâ ~ ~ , P T , ôóíêöèé   f F ~ è ïðîñòðàíñòâà ñîñòîÿíèé {   f M ~ } ÍÑÌ. Óòâåðæäåíèå 3. Åñëè ÍÑÌ àäåêâàòíî îïèñûâàåò íå÷åòêèå âçàèìîäåéñòâóþ- ùèå ïðîöåññû       ~ i П , òîãäà äîñòèæèìîñòü öåëåé ïðèíÿòèÿ ðåøåíèé (1), (2) ìîæåò áûòü îïðåäåëåíà êàê ðàçðåøåííîñòü ~ ~ T t i   è äîñòèæèìîñòü ìàðêèðîâàíèÿ           out p p is j ~ ~ ÍÑÌ, ãäå         out p is ~ - ìíîæåñòâî âûõîäíûõ (òåðìèíàëüíûõ) ïîçè- öèé ÍÑÌ ) ( ~ f S . 3xpT@ M! @(E($5R$ LK)JkH+6Ti;,VD Esveo$P;Cgvg|={=޳qH^#oQ(t"򘚘O#6V/rC q:XbtqQNft=%i܊@ٲ͑M:7$S$Su3Xɏd}GÙ%OyĘTi-_'0 UuۜUHsnS>9sGH`~ s{wm(sO&;>ɋHc~ } ^繭yn!_*_?C:qj'>Ukm:>u!ڿ/gLfgBCB9(ސts!M:@V|ȴ[HPNQ'쩍NYr F|괔qg/i˘4<˘sNT2i\*S\'[ Mdڋ\GPH͝D>rH7Fƌ#BGj@YxVRf N'й4_D<O>VhMy4{l437gd8r; b.qһUaI 'zVkp` um:'S#H]t5kt~y !gX$)s5AI1*>ezN'"]ZGl3x^L7;-蛇Q̓n'ϺMggDq)g]|gyi{zyg=|¥:݉a^PxrR1<}F:+ou?FR(kk%/ FWV SJeb>v"ˤ(׃Y)ԡdkR?nu c}}8I JM|j?IDkgA6SnNC& 1ܚHS晧?0a!̖.mcBԀ-?I.C^rTݸ?19v}_q{0{N{9kl[$5E;Bw#ͤ`7Ymk3Dƍtn+N#G>n{>>M;o}/RMu#+|=g߰Op}Ok75ORQDcE߃`:mAg/<Ը4oi/'&.d/ T>=F{4x>í͍w4yoNu'R&RE.կ6/6[Մ:tۉSG_qiXo!zέ<.[@%:|;v6my;綟xQ[#)>X 2mjaF1fOϸfKg sjmIeZANlyoe{՜#ֵslU2Hf:TCk^;l5ͧt0<ޜLk<1Nh{'"ٳ?;ZQy5"g(J8,x DN]S3~9Dw| 惺λ9I%Jw2)eX\+͒d 0҉[4yޓadrr=5G]~<;|H~F7L%CȏUX-k}u?1ŹOS<ԂY` \ap~MLfO*,7@KPqr55urv]OC|/j{F,W+q>Ӟ$1o$W*qֶ.~Zxo>6k(O\X}q]s_SV{guq9[x{~Υ}} ~:SO{cP;F; .;3/퍣YyY`yw[1Զ~~ˑmmrܹxx\)w}Eꮟkr޾xyke:pQ^R7o?>ID DHD D&> _HD DlaMicrosoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:14    jB(16)2*/1 |{3x E{F0!<oL`Ё (0*՝uA]QQ`wqq? /CHL !LX#}t{'NjԩS};(zQPጉQHgEnWDQ3^Eєc:IGsTX w2gD_͏]]].ޡ\5!,Fz/V v4}AzKV<⚦; 3pZ:+8;WQS)q.BG (SխBXԭ+MbKDgk9չ@,)m)~bg|MWpU}=0`惝N|'8zMG}.g屽ytc+Ϋ Z\+ex(326]SЭF߬LC'x;'HهUF[} b\ytt\,+K, d[}z򠁍#?O6mOӣFW&\aG\l/)dd lT'עg8=ddŭ>Ildzl7dmʮv6Eї&|[oFlx[=҆Gi7|{C\ב ?ώ)_/~CWyE| Fmo-ڨxH=&:nUAmRjx|,4_F% GgY#cb(hΜh iHG-(˷ʹA>Z9{o҆lJl4&:;Jm;׎ɿl>cC`ͶzTtbl4u:g)bmA'vHRŭ>6M.K͇wtuNU<Ҷ,#~qzqrhbH6oTր5@/=e 4B5%M/M÷}]4<#ۆ LM }dۿخt~ҩ=z߾][m)7=ncg&8`qM䁮<8Yyj۶CskU̳W>-K?) h1Piڤf?4IψN^_[zX":!:/:9zRDgDDyZ[S+4>Oң@eޕG 43{R]@~! 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Q>/fDo_Vk1P5&'NoB DdoخжjvkfTmO8_y9eke究T~%~;g+{o[JwTWn([ߧ/q]Z%z,Cn wf>m$gɘ9ks2tӣ$H*KN 3ZqNu,a|>yk]gWKV>@_7cU!^= d] YGxr}PvٻʮJ޽|N>S33V+`NlAj!#`ƖGe }^'?ǖ_)ss1L&3xgZ"~k|^8e|X!6>C{ڳ2{_Cׯ׽Ip)c=g4/w$)'(MB|߹zwPvUUF;zZw]1&!~ѩ_.U1W/%_WyRQ2!~\*>;ʘg=_oQ/keΎTWV0c|~k~In nGWؼvįKm'?_Vf7?r1녨}pS/݅#+ 1ZEW[y|Ek-ZuPЦj/ٱ&nԫNfǸo^ } n.`lEݿ{V 8oY}Ee]^&{Ww!8gz=߫ӋiӂVdj_wo"nG/"dyoms'8/'_9|^wʸC-yE2CLMNM/RBB}HEgt oj" U1}vzu;8d߯fcDŒ<_ocOL3?.[Y2%a'nn'ϒoSZRoß%[΍Ppd ϟ%Q gɀ{I,p{ϒ͒P,pvY2BdG"$^߿ dBӣ0W!H`~cU}FYVtjC]494?HM/z,5McᷥSqyI\sW8#T/mRyL>+snTkgA^_(q^~^^0`iUx~•,Gk}|W6čZ>]O jO W;['.bLyB)xOw|OE@yvfRvk2k-3vǎ 1%0.K]ff?Rw˷}GlcV|Oo5ֲ5 MǠǏEdբߕC -}-ؔ?7h.W@~E#2*u@*Qϛ{Ӿeߤ" ;#KߘO~2p:Z<<}8|ڇ`4~9b͕|f?7sY0}}L }M0~y=` _ Ο_ds1Կun ϟ_\I\u pox:P~Bu pv또\e1!:&1vseu?Wz/ڮffr_{-U*wlE\Ju~;=W.n]r }MMRxW(39N׮jei]Ht=+w:{lMވy Md/|S1eKݧ/q4~E>"<3?D_P| :gQʛ+R9ZoO*~y4Қ~r#6J-oYۤK~Ѵܵ [|n]vu1iƦWFĔG9503ml`-K i2'g/v~FSX#X{VNf﷒&:&@7Ć O>籭bK%  1->P,@W tx{7 [BG~[{kǰtP?d.׿qÚQx oXY;7\9ox, %qX+:3W}.Ey~ΖxN^6E|kNnBpKg|wVZ~"xV\ڿhUoX{_ M__+[|~1X1W/΢k_yv[9 ~y=lqC,Wc&<]ծyB]zE42:~7_B6alVγu#X3gPqpq_4s<-)m,%Ĭ#(Fm}Ni;Ey} \PfRiJe(X% ؊r{*er eg]Coߤkk.^qn߭ۦڛEwI3fQ^b hNaY^(X]`p4eϯ׀|kx=Q ~cx^_Ӆ#Am')jiMʫ Mp'fu-4ƃwx$ֿ[Ln6ž9kJ։Gƴ1zyB/[B0Y0{<8'68bX!ʭxhu6῭}g8Err&&"9(n% Ld4X&XlWik\ێĿ"]bIN`S#13^ >FZQf3zI i exmbx@[|[3Un Oշ1 m ܞC920SU'$ !>oك~5D<#I9^ⰷjuc {ڬXuotC hӅׇV<0#mG7䃇싵k'{-=N-/pu$ ;>%*8(ί9.߮$9S`sGyTCc @S6ro#M0{I~> iitTnFbLjd^Xye Ǽ*D*oт'㐤 j쇩ޙ.bt>ڠpb])PU((W+~P_-OXT410*U_,U/WLbCޤ@)s:ix`Pրvm\bzӮQbBijb&b&4t q`07x`CcY$Z G3dWwkɇz3ɇg7z=>Tg,ɇ@WbmW5J5es/:sE~BYkdFO_<Ǩ wʍ!o5:oѦj wѼ_wS "rNn{׋e @:wCXWce\5|C^;c:Uj藘ߌ_|s}M]m+6oyO3fK,mۇj@fЏn>H74{8'9ssUf>ԚYj+N5{Co汖o+wBh8G3(.pj]hzcFf"k9BW5Ԗ潗żڳYMtǖ&k1zl]+핟^E 1IZ6oR~.i,F5@er+gƒw^) BGjt/x&sFQ]t]( 6]1]~]Jl_sخjQ] C.}ߕѼ 潪7b[ⷌsZ紲۞|3#6(mS98Rcoq}H>{HMW؏`eG Ko?OuY?/Ek>Hy#i /ScmدWۆokwBc_2;1tsNvABd!qN>on?55gÞʑh?hh2?;=00 % ^LJii@Y6 5Ć4Xl2d` *g" cʲX휬)`MH3ulmI#{GZڏ+7਋ޙesHo*(kݨW)/9^S5Q8gׅͼiN٬ٓs=oy~_}I鲕}30Fcp0Y>032YXpAvC nܖ}CS/Toc_\H/#PNMsʜgTy3ЫU?m 45zM&+,?{oʍW7gzh<:Y%k>`'_t$:osQQI ze1#Ocy_,[O(-6oGtC#6/ Yoc8 {/Z}V[_- )'66ZJSF|+T6|zAF7xfX%"ϲ=u8oWv<gJˋ[9eVd@{뇏ebM{W)N#yUWy량O?WA-|8Dqt,|cy~1л_TY?Ź*xTvçhgޫ,{=UNX,D?/N+,Et9V}54m{}ԱZ^} _v3XV_w0SX[f۪cU7nF v Ue[#MQWq3c>@#MtҶF6Xdr')=x&J$ogul6-|,iz+(Thl3~:vFZ 8l 􆏤=_oloP'OWF;E~cz>,w뢓N26~;ê7خj7EgO ?E] M|U<^[]:lwm`콗ud)68N(cVSgRj EZy&l+|P̱l3cy-8CxS(Slhϲy}yepYna<ўAF<8o!ΐO"=ɸH{dWh++'~Ǻ7 L͈5o{?G&4Y Ai{Xw<>߿HJPS`W#o5n۸w5yq|g>C= OJ%Q`g/r B y| LCv:9>4{P]]5=uU_-6}6 ; U6Vu6Ԯ?\]6P3ܠV.Xw TM GFjT- ]u2Fq8}>"DX] 5v|eBMi^.ce8)g3?mOhefG?<\qr3MҸި1%}b++L>'NU*u܎4\9%cK˽ۓgϜs;?c[%/\V~v~cdHW Uړw4'd4Al>W=H`^bzwN:(KSΩ6_yDTv\9e̹:Soߥ=ۚ۵=!ɜPy{lGsjLzt)m6317._Q cUVcÚ߸k@ u}ѭTE)!+v싾m,ri_z3r)K]'dټ[6b_t aoݚ$[!8 MT9];wm sߪvR'w?.'n$dw;|SurR`+ZNCgW+eV߯;N!/Kpe-T߾\?Ӊ9;*,:?zkSu+yW</i}Hw'_ݹl4{S>==e5o返}eCp^ g|w`.UW;EYTW<^]3>$Wm|{4W]Z7}eCp;w1VԷv! &-_`~ɞ!ݺף*wq |b(bwlÔwe/*s4(krWb!/l^o^,,0X-t!-unȁ 8nD,,15 Ñëåäñòâèå 4. Åñëè âûïîëíÿþòñÿ óñëîâèÿ óòâåðæäåíèÿ 3 è ñóùåñòâóåò ïî êðàéíåé ìåðå õîòÿ áû îäíî êîíå÷íîå ïîäìíîæåñòâî âåêòîðîâ                   ' ) ( , ' , ' ' , ) ( } ' { 0 ~ 0 ~ ~ 0 u f M U U U u u f M u f M  èç ìíîæåñòâà äîïóñòèìûõ, èç êîòîðîãî äîñòèæèìî ìàðêèðîâàíèå âñåãî ìíîæå- ñòâà âûõîäíûõ (òåðìèíàëüíûõ) ïîçèöèé         out p is ~ ÍÑÌ   1 ~ ~ ~ ~                  j is j p M out p p (11) è ñïðàâåäëèâî         * 0 ~ 0 ~ ~ ~ ~ ~ } { k z k z f M out p p M j p j p u k is j                    ; (12)       * 0 ~ 0 ~ ~ ~ k k out p p j p j p is j             ; (13) 1 ~ ~ ~                   j j j p M p p , (14) òî çàäà÷à äîñòèæèìîñòè öåëåé ïðèíèìàåìûõ ðåøåíèé ðàçðåøèìà. Óñëîâèå (14) íàêëàäûâàåò òðåáîâàíèå áåçîïàñíîñòè [8] ïîçèöèé ~ ~ P p j   ÍÑÌ, ïðè åãî íàðóøåíèè è ïðèíÿòîé èíòåðïðåòàöèè ìîæåò âîçíèêíóòü ñèòóàöèÿ, êîòîðàÿ ïðèâåäåò ê âîçìîæíîé ïîòåðå èíôîðìàöèè î ðàçâèòèè ïðîöåññîâ. Ðàçó- ìååòñÿ, òàêàÿ ñèòóàöèÿ ïðèâîäèò ê òîìó, ÷òî íàðóøàåòñÿ àäåêâàòíîñòü ïðåä- ñòàâëåíèÿ ïðîöåññîâ è ðåøåíèå çàäà÷è äîñòèæèìîñòè â ïðàêòè÷åñêèõ çàäà÷àõ àíàëèçà òåðÿåò ïðàêòè÷åñêèé ñìûñë. Óòâåðæäåíèå 4. Åñëè äëÿ ~ ~ T t i   ÍÑÌ ) ( ~ f S âûïîëíåíû óñëîâèÿ ðàçðåøèìî- ñòè è ñïðàâåäëèâû (12)-(14), òî êîíúþíêöèÿ (11)-(14) îïðåäåëÿåò óñëîâèÿ äîñòè- æèìîñòè öåëåé ïðèíèìàåìûõ ðåøåíèé       ~ j S D ïðè ðåøåíèè ïðàêòè÷åñêèõ çàäà÷ àíàëèçà.  òåîðåòè÷åñêèõ è ïðàêòè÷åñêèõ çàäà÷àõ àíàëèçà âàæíî íå òîëüêî âûÿâèòü è ëîêàëèçîâàòü ôàêò îòñóòñòâèÿ ñâîéñòâ äîñòèæèìîñòè (2) öåëåé ïðèíèìàåìûõ ðåøåíèé, íî è îïðåäåëèòü ïóòè è ñïîñîáû ìîäèôèêàöèè ïðîöåññîâ â öåëÿõ óñòðàíåíèÿ ïðè÷èí, ïðèâåäøèõ ê íåðàçðåøèìîñòè çàäà÷è äîñòèæèìîñòè. Óòâåðæäåíèå 5. Åñëè îïðåäåëåíî, ÷òî çàäà÷à äîñòèæèìîñòè öåëåé (2) íà ÍÑÌ ) ( ~ f S è çàäàííîì ïðîñòðàíñòâå       ) ( 0 ~ f M íå ðàçðåøèìà è ïî êðàéíåé ìåðå îäíî èç óñëîâèé (12)-(14) íå âûïîëíÿåòñÿ, òî íåîáõîäèìî: – ìîäèôèöèðîâàòü ñòðóêòóðó ÍÑÌ ) ( ~ f S â öåëÿõ àäåêâàòíîãî îòîáðàæåíèÿ ïðåäìåòíîé îáëàñòè; – ìîäèôèöèðîâàòü ýëåìåíòû ìíîæåñòâà âåêòîðîâ òàêèì îáðàçîì,÷òîáû * ) ( ) ( ) ( ) ( 0 ~ 0 ~ 0 ~ 0 k z k z f M f M j p j p u u          ; (15) – ìîäèôèöèðîâàòü ÍÑÌ ) ( ~ f S òàêèì îáðàçîì, ÷òîáû: * ) ( ) ( 0 ~ 0 ~ ~ ~ k k P p j p j p j      ; (16) 3x pT%@!$a P(M) Z biKahZ E` Ak#-V"a@@#(3B,C-Z&f_']:- 9{7GĸVDz| bL)"khgubbtr$i*/aN=Ub&O6JS;;s@0B:rҥ@%ɕ̀*5 d/]mc]}/a3]^+TyL/0=vM[iO4Y2&)^Lo@AygkP˾[;S^GjkMVx'A{*(#e'^#`ϵr朒CNܥe#2 xWv-jWLƹ/eHpK*<لͷO@qJQ~6wY< _@[8Kjw/_獀l`*Q"Vo).e9 it9ئck {6ϓ#'ab; _yݻ8nn| fپ]-1ԯzRvvXd]lZ>k%&}epm׶ig玎ɒq~9C57_gro18-ֹ϶cXʙ'm[T#YodL $ XZ+Z!m7 f';fw'ɍ|̝EJ@n_"7 З>Jo2?[zx$πt/^ZG2fHxμϜ%dG1*eǢ-6Lhuwe'~ Q;ΚYsmK4Ǯs.Ƨ"mQ֏w>2,ʻQ&Pa@3 Rsz?5AW]:_qT1o|F*n{u?4^>|Ǚ]<8=KOߑARSyz7G=z{n6{T.ĺ'M M@NbiՎs4i4U>ar\Ɯ, 4O_cc*8x9}'895[C7?2מsϗcm;5>1RDiwqmW eM] =O"$"K j+LdJ<΅o"$Ce6GW.eÏ4 A .PvcHڷ;\K:RdK cd7pJx#1IoȐלZߚ]Iu'Edc=Gsp-HV4m_;w9S@ CǬ;e=doc=W)o B܂}ʖ[ڱy1m#t'']ߢúS'U!=eK \aNOBT+lU{ROƮxw?߱{{&9>eF@! 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(20) Ñïðàâåäëèâîñòü óòâåðæäåíèÿ 5 íåïîñðåäñòâåííî ñëåäóåò èç ïîñòàíîâêè çàäà- ÷è è êðèòåðèåâ äîñòèæèìîñòè. Òðåáîâàíèå ìîäèôèêàöèè ñòðóêòóðû ÍÑÌ ) ( ~ f S ñîâìåñòíî ñ âûïîëíåíèåì óñëîâèé (15)-(20) îáåñïå÷èâàåò ðåøåíèå çàäà÷è (2) â áîëüøèíñòâå ïðàêòè÷åñêèõ ïðèëîæåíèé ìîäåëèðîâàíèÿ è àíàëèçà äîñòèæèìîñòè öåëåé â ðåàëüíûõ òåõíîëî- ãè÷åñêèõ îáúåêòàõ. Ñëåäóåò îòìåòèòü, ÷òî ðåøåíèå çàäà÷è äîñòèæèìîñòè öåëåé â íå÷¸òêèõ ïðîöåññàõ ïðèíÿòèÿ ðåøåíèé ÿâëÿåòñÿ âî ìíîãîì îïðåäåëÿþùèì äëÿ ðåøåíèÿ íåêîòîðûõ äðóãèõ çàäà÷ àíàëèçà íà ñåòåâûõ ìîäåëÿõ [5-7]. Îíî ìîæåò áûòü ïîëîæåíî â îñíîâó ðåøåíèÿ êîìïëåêñà ïðèêëàäíûõ çàäà÷ ìîäåëèðîâàíèÿ è àíàëèçà ïðîöåññîâ. Âûâîäû 1.  òåðìèíàõ ïðîñòðàíñòâà ñîñòîÿíèé âçàèìîäåéñòâóþùèõ íå÷åòêèõ ïðîöåñ- ñîâ ñôîðìóëèðîâàíà çàäà÷à äîñòèæèìîñòè öåëåé ïðèíÿòèÿ ðåøåíèé. 2. Ñôîðìóëèðîâàíû óñëîâèÿ, ñèñòåìà óòâåðæäåíèé, îïðåäåëÿþùèå ñâîéñòâà äîñòèæèìîñòè öåëåé ïðèíÿòèÿ ðåøåíèé ñ èñïîëüçîâàíèåì àïïàðàòà íå÷åòêèõ ðàñøèðåííûõ èíòåðïðåòèðîâàííûõ ñåòåé Ïåòðè è òåîðèè íå÷åòêèõ ìíîæåñòâ. 3. Ïðåäëîæåíû ïóòè è ñïîñîáû ìîäèôèêàöèè íå÷¸òêèõ ñåòåâûõ ìîäåëåé ïðè îòñóòñòâèè ñâîéñòâ äîñòèæèìîñòè öåëåé â ïðîöåññàõ ïðèíÿòèÿ ðåøåíèé. 4. Øèðîêèé êëàññ çàäà÷ àíàëèçà íå÷åòêèõ ïðîöåññîâ â ðåàëüíûõ ñèñòåìàõ ìîæåò áûòü ïðåäñòàâëåí àïïàðàòîì íå÷åòêèõ ñåòåâûõ ìîäåëåé. Äëÿ èõ ðåøåíèÿ öåëåñîîáðàçíî èñïîëüçîâàòü ðåçóëüòàòû àíàëèçà äîñòèæèìîñòè öåëåé ïðèíÿòèÿ ðåøåíèé. Ñïèñîê ëèòåðàòóðû: 1. Êîôìàí À. Ââåäåíèå â òåîðèþ íå÷åòêèõ ìíîæåñòâ: Ïåð. ñ ôðàíö. Ì.: Ðàäèî è ñâÿçü, 1982. 432ñ. 2. Îáðàáîòêà íå÷åòêîé èíôîðìàöèè â ñèñòåìàõ ïðèíÿòèÿ ðåøåíèé. / À. Í. Áîðèñîâ, À. Â. Àëåêñååâ, Ã. Â. Ìåðêóëüåâà è äð. Ì.: Ðàäèî è ñâÿçü, 1989. 304ñ. 3. Êó÷åðåíêî Å.È. Ôàäååâ Â.À. Èíñòðóìåíòàëüíûå ñðåäñòâà ìîäåëèðîâàíèÿ ïðîöåñ- ñîâ óïðàâëåíèÿ òåõíîëîãè÷åñêèìè êîìïëåêñàìè ìàøèíîñòðîåíèÿ // Àâèàöèîííî-êîñìè- ÷åñêàÿ òåõíèêà è òåõíîëîãèÿ. Òðóäû ãîñóäàðñòâåííîãî àýðîêîñìè÷åñêîãî óíèâåðñèòåòà èì. Í.Å. Æóêîâñêîãî “ ÕÀÈ ” . Âûï. 14. Õàðüêîâ, Ãîñóäàðñòâåííûé àýðîêîñìè÷åñêèé óíè- âåðñèòåò èì. Í.Å. Æóêîâñêîãî “ ÕÀÈ ” , 2000. Ñ. 166 – 168. 4. Ïèòåðñîí Äæ. Òåîðèÿ ñåòåé Ïåòðè è ìîäåëèðîâàíèå ñèñòåì: Ïåð. ñ àíãë. Ì.: Ìèð, 1984. 264 ñ. 5. Êîíîíåíêî È.Â., Êó÷åðåíêî Å.È. Ìåòîäû è àëãîðèòìû ïëàíèðîâàíèÿ ðàçâèòèÿ ñèñòåì íà îñíîâå íå÷åòêèõ ñåòåâûõ ìîäåëåé // Òåîðåòè÷åñêèå è ïðàêòè÷åñêèå ïðîáëåìû ìîäåëèðîâàíèÿ ïðåäìåò- íûõ îáëàñòåé â ñèñòåìàõ áàç äàííûõ è çíàíèé: Òåç. äîêë. 3-ãî ìåæäóíàð. íàó÷í.-òåõí. ñåìèíàðà. Ê.: Concept. LTD, 1994. Ñ. 52-56. 6. Pedzycz W., Gomide F. A. Generalized Fuzzy Petri Net Model // IEEE Òrans of Fuzzy System, vol.2, no. 4,1994.- P.295-301. 7. Koriem S.M. A Fuzzy Petri Net Tool For Modeling and Verification of Knowlende-Based Systems // The Computer Journal, vol. 43, ¹ 3, 2000. P.206-223. 8. Ìóðàòà Ò. Ñåòè Ïåòðè: Ñâîéñòâà, àíàëèç, ïðèëîæåíèÿ // ÒÈÈÝÐ, ò.77, ¹4, àïðåëü 1989. Ñ. 41-85. Ïîñòóïèëà â ðåäêîëëåãèþ 17.12.2000 Êó÷åðåíêî Åâãåíèé Èâàíîâè÷, êàíä. òåõí. íàóê, äîöåíò, ñòàðøèé íàó÷íûé ñîòðóäíèê êàôåäðû èñêóññòâåííîãî èíòåëëåêòà ÕÒÓÐÝ. Àäðåñ: Óêðàèíà, 61204, Õàðüêîâ, ïð. 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ÊÎÏÀÍÈÖÀ, È.À. ÌÀÊÐÓØÀÍ ÊÎÐÏÎÐÀÒÈÂÍÀß ÊÎÌÏÜÞÒÅÐÍÀß ÑÅÒÜ Â ÏÐÎÈÇÂÎÄÑÒÂÅÍÍÎ-ÑÁÛÒÎÂÎÉ ÑÈÑÒÅÌÅ Ðàññìàòðèâàþòñÿ àêòóàëüíûå âîïðîñû ôóíêöèîíèðîâàíèÿ ëîãèñòè÷åñêîé ñèñòåìû â óñëîâèÿõ ðûíî÷íîé ýêîíîìèêè. Îïðåäåëÿåòñÿ ìåñòî êîðïîðàòèâíîé êîìïüþòåðíîé ñåòè â ëîãècòè÷åñêîé ñèñòåìå. Ïðåäëàãàåòñÿ ñèñòåìà ïàðàìåòðîâ äëÿ îöåíêè ýôôåêòèâíîñòè ôóíêöèîíèðîâàíèÿ êîðïîðàòèâíîé êîìïüþòåðíîé ñåòè ñ ïîçèöèè ëîãèñòè÷åñêîãî ïîäõîäà.  óñëîâèÿõ ðûíî÷íîé ýêîíîìèêè ëîãèñòè÷åñêèé ïîäõîä íàõîäèò âñå áîëåå øèðîêîå ïðèìåíåíèå â îðãàíèçàöèè ïðàêòè÷åñêîé äåÿòåëüíîñòè ðàçëè÷íûõ ïðåä- ïðèÿòèé.  ëþáîì âèäå ñîâðåìåííîãî áèçíåñà òåñíåéøèì îáðàçîì ïåðåïëåòàþòñÿ èíòå- ðåñû ìíîæåñòâà îòäåëüíûõ ñóáúåêòîâ äåÿòåëüíîñòè, è äîñòèæåíèå ýôôåêòèâíî- ãî åå îñóùåñòâëåíèÿ âîçìîæíî òîëüêî ïðè èñïîëüçîâàíèè ëîãèñòè÷åñêèõ ïðèíöè- ïîâ óïðàâëåíèÿ, ïîçâîëÿþùèõ ïðîñëåäèòü ðîëü âñåõ ýëåìåíòîâ ïðîèçâîäñòâåí- íî-ñáûòîâîé ñèñòåìû (ÏÑÑ) [1]. Ðûíîê ðàñïîëàãàåò âñåì, ÷òî íåîáõîäèìî äëÿ äåÿòåëüíîñòè îðãàíèçàöèè èëè ïðåäïðèÿòèÿ: ìàòåðèàëàìè, îáîðóäîâàíèåì, ýíåðãåòè÷åñêèìè ðåñóðñàìè, èíôîð- ìàöèåé, ðàáî÷åé ñèëîé, óñëóãàìè. Ïîòðåáíîñòü âî âñåì ýòîì óäîâëåòâîðÿåòñÿ çà ñ÷åò êðåäèòà. Ëîãèñòè÷åñêèå âçàèìîîòíîøåíèÿ ïðåäïðèÿòèÿ è ðûíêà, ñõåìàòè÷åñêè ïðåä- ñòàâëåííûå íà ðèñóíêå, ïîçâîëÿþò îïðåäåëèòü ôàêòîðû, ñâÿçûâàþùèå êîðïîðà- òèâíóþ êîìïüþòåðíóþ ñåòü ñ ÏÑÑ. Ðûíîê è ïðîèçâîäñòâî ÿâëÿþòñÿ “ ïîëþñàìè ” òàêîé ñèñòåìû. Ïåðâûé ðàñïîëà- ãàåò îáîðóäîâàíèåì, ìàòåðèàëàìè, ýíåðãåòè÷åñêèìè ðåñóðñàìè, âûðàáàòûâàåìû- ìè, åñòåñòâåííî, äðóãèìè ïðîèçâîäèòåëÿìè.  îïðåäåëåííîì ñìûñëå, òîâàðîì íà ðûíêå ñòàíîâèòñÿ èíôîðìàöèÿ â âèäå ðåêëàìû, ïðîåêòîâ, ñïðàâî÷íûõ ìàòåðèà- ëîâ è ò.ï., à òàêæå óñëóãè è êàäðû â âèäå ïðîôåññèîíàëüíûõ íàâûêîâ, ñîîòâåò- ñòâóþùèõ ñïåöèàëüíîñòÿì è êâàëèôèêàöèè. Ïåðå÷èñëåíû íå âñå ñåãìåíòû ðûí- êà, íî îíè óæå ïîçâîëÿþò ïðîñëåäèòü âçàèìîîòíîøåíèÿ ïðîèçâîäèòåëåé, êàê þðèäè÷åñêèõ, òàê è ôèçè÷åñêèõ ëèö, ÷åðåç ðûíîê. Ôèçè÷åñêîå ëèöî âûñòàâëÿåò íà ðûíîê ëèáî ñâîè ïðîôåññèîíàëüíûå íàâûêè â ñåãìåíòå “ Êàäðû ” (ðàáîòà ïî íàéìó), ëèáî ñàì ñòàíîâèòñÿ ïðîèçâîäèòåëåì è òîãäà åãî ïðîôåññèîíàëüíûå íàâûêè è çàòðà÷åííîå âðåìÿ ñîçäàþò òó “ äîáàâëåí- íóþ ñòîèìîñòü ” â âèäå ïðîäóêòà, êîòîðàÿ ïðåäñòàâëÿåòñÿ íà ðûíîê. Äåÿòåëüíîñòü ïðåäïðèÿòèé ãîðàçäî ìàñøòàáíåå è ìíîãîãðàííåå, íî ïî ñóòè ñâîåé àíàëîãè÷íà: ïðîèçâîäñòâåííàÿ äåÿòåëüíîñòü ïëþñ âðåìÿ ñîçäàþò òîâàð äëÿ ðûíêà.  ðåçóëüòàòå ïåðåðàáîòêè, ïðåîáðàçîâàíèÿ ìàòåðèàëîâ (ïðè çàòðàòå âðåìåíè) ñîçäàþòñÿ ïðîìûøëåííûå èçäåëèÿ, ïîñòóïàþùèå êàê òîâàð íà ðûíîê. Èíòåëëåêòóàëüíàÿ äåÿòåëüíîñòü â âèäå êîíñòðóèðîâàíèÿ, ïðîåêòèðîâàíèÿ, ïåðå- ðàáîòêè èíôîðìàöèè òàêæå íàïîëíÿåò ñîîòâåòñòâóþùèå ñåãìåíòû ðûíêà. È çäåñü çàòðà÷èâàåìîå âðåìÿ ñòàíîâèòñÿ îáÿçàòåëüíûì ôàêòîðîì ïîëó÷åíèÿ ïðè- áûëè. Àíàëîãè÷íî ïîñòóïàþò íà ðûíîê â ñâîé ñåãìåíò óñëóãè. Îñóùåñòâëÿåòñÿ íà ïðåäïðèÿòèè è äåÿòåëüíîñòü, ïðîäóêò êîòîðîé ìîæåò íå ïîñòóïàòü íà ðûíîê íåïîñðåäñòâåííî, à ñâÿçàí ñ íèì êîñâåííî. Èìååòñÿ â âèäó ìàðêåòèíã è èíòåëëåê- òóàëüíàÿ äåÿòåëüíîñòü ïî ñîçäàíèþ íîâûõ òîâàðîâ, êîòîðûõ íà ðûíêå âîîáùå íåò. Èìåííî ýòà äåÿòåëüíîñòü (íàçîâåì åå ýâðèñòè÷åñêèé èëè ïåðñïåêòèâíûé ìàðêåòèíã) ÿâëÿåòñÿ äâèæóùèì ìåõàíèçìîì ïðîãðåññà. Ïîä÷åðêíåì, ÷òî âî âñåõ ïåðå÷èñëåííûõ ñëó÷àÿõ ôàêòîð çàòðà÷åííîãî âðåìåíè – îäèí èç âàæíåéøèõ, ïðè÷åì åãî ñîêðàùåíèå óâåëè÷èâàåò ïðèáûëüíîñòü äåÿòåëüíîñòè. 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Êîìïüþòåðèçàöèÿ ÷åðåç ôàêòîð ñîêðàùåíèÿ âðåìåíè ïîâûøàåò ýôôåêòèâíîñòü âî âñåõ ýòèõ ñôåðàõ. Òåõíè÷åñêîå áûñòðîäåéñòâèå ñîâðåìåííûõ êîìïüþòåðîâ äîñòèãëî 500 ìëðä. îïåðàöèé â ñåêóíäó, íî îïðåäåëÿþò èõ ïðèêëàäíóþ ýôôåêòèâíîñòü èíôîðìàöè- îííûå òåõíîëîãèè è îðãàíèçàöèÿ èñïîëüçîâàíèÿ â óñëîâèÿõ êîíêðåòíîé ÏÑÑ. 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Íà íàø âçãëÿä, ïðîöåññ óïðàâëåíèÿ êîìïüþòåðíîé ñåòüþ áåç ó÷åòà åå ïðè÷àñòíîñòè ê ïîñëåäíåé íå ìîæåò áûòü ïðèçíàí ïîëíîöåííûì. Åñëè èìåòü â âèäó ïðîèçâîäñòâî, òî äî íåäàâíåãî âðåìåíè ðåøåíèå çàäà÷ ñðåäñòâàìè âû÷èñëèòåëüíîé òåõíèêè îñóùåñòâëÿëîñü ÷åðåç ñîçäàíèå âû÷èñëè- òåëüíûõ öåíòðîâ, ãäå ñîñðåäîòî÷èâàëèñü ñîîòâåòñòâóþùèå òåõíè÷åñêèå ñðåäñòâà è ñïåöèàëèñòû. Âû÷èñëèòåëüíûé öåíòð ïðåäñòàâëÿë ñîáîé ëîêàëèçîâàííîå ïîäðàçäåëåíèå, ÷åòêî âûðàæåííîå êàê ñàìîñòîÿòåëüíàÿ àäìèíèñòðàòèâíàÿ åäèíèöà â ñòðóêòóðå ïðåäïðèÿòèÿ (èëè îðãàíèçàöèè). Ðåæèì åãî ðàáîòû, êàäðîâîå, ìàòåðèàëüíî– òåõíè÷åñêîå îáåñïå÷åíèå è “ äîëÿ ” â ïðèáûëè ïðåäïðèÿòèÿ óñòàíàâëèâàëèñü ïîäîáíî äðóãèì ïîäðàçäåëåíèÿì. Ñîâðåìåííàÿ êîìïüþòåðíàÿ òåõíèêà, ðåøàÿ áîëåå øèðîêèé ñïåêòð çàäà÷, ÷àñòî ðàñïîëàãàåòñÿ â ðàçëè÷íûõ ïîäðàçäåëåíèÿõ. Ôóíêöèîíèðîâàíèå è ýêñïëó- àòàöèÿ êîìïüþòåðíîé òåõíèêè â äàííîì ñëó÷àå îáåñïå÷èâàåòñÿ ñïåöèàëèñòàìè ýòèõ ïîäðàçäåëåíèé. Ïðè ýòîì èíôîðìàöèîííàÿ áàçà âñåõ ïîäðàçäåëåíèé åäèíà, áëàãîäàðÿ îáúåäèíåíèþ ðàçîáùåííûõ êîìïüþòåðîâ ñïåöèàëüíûìè òåõíè÷åñêèìè ñðåäñòâàìè â êîìïüþòåðíóþ ñåòü. Òàêèì îáðàçîì, ïîíÿòèå âû÷èñëèòåëüíîãî öåíòðà êàê ëîêàëèçîâàííîãî ïîäðàçäåëåíèÿ “ ðàçìûëîñü ” , åãî çàìåíèëè êîìïüþ- òåðíûå ñåòè ðàçíîãî óðîâíÿ èåðàðõèè, ðàçëè÷íîé ñëîæíîñòè è íàçíà÷åíèÿ. Òåïåðü êîìïüþòåðíàÿ òåõíèêà ðåøàåò çàäà÷è ëîãèñòè÷åñêîãî óïðàâëåíèÿ ïðîèç- âîäñòâîì, åãî îïåðàòèâíîãî ïëàíèðîâàíèÿ, ïîäãîòîâêè, àâòîìàòèçàöèè, ïðîåêòè- ðîâàíèÿ, êîíñòðóèðîâàíèÿ è ò.ï., áóäó÷è ñâÿçàííîé â êîìïüþòåðíóþ ñåòü. Êîìïüþòåðíîé ñåòüþ îñóùåñòâëÿåòñÿ ôóíêöèîíàëüíîå è, â îïðåäåëåííîé ìåðå, îðãàíèçàöèîííîå îáúåäèíåíèå ñðåäñòâ âû÷èñëèòåëüíîé òåõíèêè. Íåñìîòðÿ íà êàæóùóþñÿ “ ðàçìûòîñòü ” ïî ñðàâíåíèþ ñ âû÷èñëèòåëüíûì öåíòðîì, îíà ïðåäñòàâëÿåò ñîáîé åäèíûé îðãàíèçì, î÷åíü âàæíóþ ñîñòàâëÿþùóþ ñòðóêòóðó ïðåäïðèÿòèÿ è, ñëåäîâàòåëüíî, ëîãèñòè÷åñêîé ñèñòåìû [2]. Òåõíè÷åñêèìè è ïðîãðàììíûìè ñðåäñòâàìè, îáúåäèíåííûìè êîìïüþòåðíîé ñåòüþ, âûïîëíÿþòñÿ îïåðàòèâíûå ôóíêöèîíàëüíûå çàäà÷è, îñóùåñòâëÿåòñÿ îá- ðàáîòêà òåêóùåé èíôîðìàöèè, âåäåòñÿ ïðîåêòèðîâàíèå, êîíñòðóèðîâàíèå, ïëà- íèðîâàíèå, ìîäåëèðîâàíèå è ò.ä. Áëàãîäàðÿ èì, â èíòåðåñàõ óâåëè÷åíèÿ ïðè- áûëüíîñòè ñîêðàùàåòñÿ îäèí èç âàæíåéøèõ ïàðàìåòðîâ ïðîèçâîäñòâà – âðåìÿ . Âî ìíîãèõ ñëó÷àÿõ âðåìÿ ìîæåò îêàçàòüñÿ ðåøàþùèì ôàêòîðîì äîñòèæåíèÿ âûñîêîé ýôôåêòèâíîñòè äåÿòåëüíîñòè. Áëàãîäàðÿ ñâîåìó âëèÿíèþ íà ýòî âàæ- íåéøåå ñëàãàåìîå óñïåøíîãî áèçíåñà, âñå, ÷òî îáúåäèíÿåòñÿ ïîíÿòèÿìè “ êîìïü- þòåðíàÿ ñåòü ” , “ êîðïîðàòèâíàÿ êîìïüþòåðíàÿ ñåòü ” , îêàçûâàåòñÿ êëþ÷åâûì ýëåìåíòîì ëîãèñòè÷åñêîé ñèñòåìû. Ñ ýòîé òî÷êè çðåíèÿ ñëåäóåò îòìåòèòü ñóùåñòâåííîå ðàçëè÷èå ìåæäó êîììåð- ÷åñêèìè è êîðïîðàòèâíûìè ñåòÿìè. ‘ ’ Ðûíî÷íûì ïðîäóêòîì ’ ’ êîììåð÷åñêîé ñåòè ÿâëÿåòñÿ óñëóãà ïî ïåðåäà÷å ìàêñèìàëüíûõ îáúåìîâ èíôîðìàöèè ìàêñèìàëüíî- ìó ÷èñëó ïîëüçîâàòåëåé â êðàò÷àéøåå âðåìÿ. Êîììåð÷åñêàÿ ñåòü â ñòðåìëåíèè îõâàòèòü áîëüøèå òåððèòîðèè ñîçäàåò óçëû, òîïîëîãè÷åñêè îáðàçóþùèå ñåòêó. Ìàðøðóòèçàöèÿ ïðè ïåðåäà÷å èíôîðìàöèè ÿâëÿåòñÿ âàæíûì ýëåìåíòîì ïîâû- øåíèÿ åå êîììåð÷åñêîé ýôôåêòèâíîñòè. Êîðïîðàòèâíûå æå ñåòè ðåøàþò ôóíêöèîíàëüíûå çàäà÷è êîíêðåòíîãî ïðîèç- âîäñòâà è ñîçäàþòñÿ äëÿ îáåñïå÷åíèÿ íàèâûñøåé ïðîèçâîäèòåëüíîñòè ðàáî÷èõ ñòàíöèé. Òîïîëîãè÷åñêè îíè, êàê ïðàâèëî, íå îáðàçóþò ñåòêè è ýôôåêò èõ ïðèìåíåíèÿ ïðîÿâëÿåòñÿ ÷åðåç èíòåñèôèêàöèþ ïðîöåññîâ â êîíêðåòíîé ÏÑÑ. ×òîáû îáúåêòèâíî îöåíèòü ýôôåêòèâíîñòü êîðïîðàòèâîé êîìïüþòåðíîé ñåòè (ÝÊÊÑ), ñëåäóåò îïðåäåëèòü åå äîëþ â ïðèáûëè ïðåäïðèÿòèÿ, çà âû÷åòîì ðàñõîäîâ íåïîñðåäñòâåííî íà ñåòü. Íî ÝÊÊÑ çàâèñèò òàêæå è îò äðóãèõ ôàêòî- ðîâ, òàêèõ êàê: – êîëè÷åñòâî è ñòîèìîñòü îáîðóäîâàíèÿ (n îá , S îá ñîîòâåòñòâåííî); ,xilEǟJ/Jl/$rU-F! +6!)HMhD@i@ HC4 $ 1(&r[hfۡۦ{4ys33Fi"#2.V"E`@mLa!Et=̜Fm HoDk4*VqEj B+8F9|]}5p<_ݥҶsƿ7?wG|tB`F+jtף;bEZKg=Nq6DQḪVgIl%yh.W+?#n# ;Os>VS M.ǎEЁ{ 2.ΤG%Ww,;a's2®^$J%KD炑̥?`}$Iƪ;n!.8_!_d9PC1EN#_@99Y`JM'ѹ5I 2L%Rƅ᫤5^d93Uo g=DN75}؅"1~ ,d)reJ|*Xrd/\Wp/9 Ln|} Pct̐gYM9@gI'Y.GQW2x':|g.xuxyȽ~2ۉq6}xVEt'"{:r_Y-29Yר,!Xrc>=^2vΈ^_}.qsnn1?G6WP{7@0Lw6z?C,s])KY#4Y %A}d{/{<*(FҳTr;v*aw+ۺrfqjY!5 n#_5,RO -X{!<Ͱ1~#{g>sIf gs$۲`gM {s9;a 'O7D7Q6,Yx:wvXWȱ޿|E949F?p>=Kf﶐g5؞&zM8eTbOa.nd\xr0Yu>oKy$A%s/iq79|ǿ5RJwXB?5y`ݿܵzp.v(cΰO}pȵp-}h^fx2`Yy D(!F}ŋW eWlS fcƾ73vߘk V۬9\PuD#o$*NJ,p&7 biHl]k[{ԥ79GZHㅳoڛW|?sv5.?u=/,0vPsbTνi֚FD mo?G/:?cǚoTtU/_w ݣ:3d>rY+M_-٘![9PjE{@y$霼nmmXe ?mimcŤ۶/?EjH}3\t ߜ!7P ͭJ*o⛤em7_M.9⛂O >Q6b,x)ʄ9/Y_aw CWx&O }(noءGw{Ew8³Tw8&E.&t_ ]%vj# Troe8>v57|Y;DRP+.d` 8N-\h hEKYEJч7PYs 8ʰFghbn:bW}{JvNA}F_yf+圂234>C{xGj9~T>vܦlB~l }3^V̍?KE_/Lo/+ZN?=+7YDbQ7cF8gv?}{Ƽ@Rq4f@'Gb:qi͓ (kS8s{t|[JձvשG{~?zbv-,+3B;I:86NiK>Rּ^#F8Z?ss\Y;TO/,4hyJCC//+ᢨvȽ\,pxK nꀎ~?5~?%W/s>$9֝Pk<:WҾˑH<ϳ0֭Ռ8R?~oY_VqxwߠomWJ=Ka~^6nlj #eULkU3JDQ~9aWBKå5\|=hǽqgr FZ_۱ :_k&<2{wd㎑aF)EA&kd|n9s¥;zDrwT_fEprW¼q,3+Eus^)[36>LU|U}mgY{` e7}ĉ(Q_O\|aSkMmM4]4iFeZsDhBiMsTM]c;v2zPGk^d?B>c狱kcCcs<{~<'/w?nG ( SWckx4Vr6APAE@=cѱ1xCi1.W}֊h'W*z%,2Ǫ]EАyxd#ډY:1P]#5k?'΀nפ^喭q-u|Q>|p0NzG ޭ2^`Y)N)e{3{@XkXm.Ʃcח y Z#,p^{/,_uB@Mn&\I\-_J !w]OiڎYMdzMDrɛ;=M E8#wqM>s|u-޻ni6s:1<8@c#Py׈h|)ylx|d>toZN.*q|Z`%hV}&mLKo Y|x|Ng_5~ keL|vvƷ~6-qBEtx[,sYxڶX[mmcb۠6^6\B){fd3[o*bm5N!J[}VWG/Aon}]Q{̍ /} ?s&c8˃2>phghe|v+ϸgDyyնQmiGrxD{-ڝYA-='"O6DgK9|3~~sSE t#-02/}'-lʺTrR>KPS!~riyR<8%JG=O:/A$<5_db,5(_UdQY'_j)g6ujWx >p ~gKyH=K2GG/> {N1x e2?#xĽr&8>m"q >ш[Nn^`k>~c}Wf띢a^*/"}~͌l峸d#5N-֌_}7cR[X'pɺ~E->an5n9.mG*Ȥr|ځ,pyo7 }X>o{}ސ}aݳb9k?(/"[f2źxCV0?WlM%%.vܣxHmc4eҲw=!Ȃz6poc|ч\eIGzh`Ά,>\_kDeÏEc=hKkobqV\fl/%tGս ތ5nYUǁ]n}ڎ?2M/,)<}<<}2r_\pn_x| ![[fߧD{V~#yCvi*~/4 SZϋ}[r:Q5B~SufW).[ _ob9I᱾e|]'0&A`uNx `uNOְciiPj;XK] SЕX4RRZWh Qsbf߁,|wkh/d⻏oƜ)>y@7ҝ5ٷW, CVo}L}vHv麖s~ #7갢6G3vtm@Yۂ;K򼷵휺ʻLOF't^sȶ,FY(=xc+evTfmX1klT~oLÎXR]*iO^}bC5vP.V_!gbbw]){ʘ.O>ҺC `e,3@7XtuyhyG@l{$,l!|.H/.BgfԠ;J6}}n) g)[/wZoෂINQnҺ6Hu-Jz7i'RIMzR x79}7in)&C|x /;e؆YIfj'Ovg ?hZvϦ5l`WN݂n؍n軖n[; >*Q{2}-SvN[='}e+N?+wD*t·)*qzHRtX͢&H[Y NVٲ#Z?=Uώ9,(*º@\qDG~ܻouRƋ@#V#8ב طqi,+ :EO(mq4t-2hfߥ4}29.-;3OXQs3GxX b-)@B>жូug:}oR6Ka79zO~xS'8ӹ\m'OI]t]?)ȱot |cC\|chNRF&QwƑ}wmNo߾Ǵ_=?4Z[1^WS=<.3>/P >Wf K)fA&h#hȜ4u=ѺSq~C?R 4Y}'t*q lL 3߅blLz¯qE{kG9^I!˦8|$œy1iS/elHw2B?8@"hwת~^-zF;.oY;2?fޫ_޺^t4XO?KtJX~kA^/__Z|׉Bjk\glRz ?H[4)٘7/8%p^͈!,"E )G=7#Q;ݘY֨T 9U3_^ΞMѾ5=U${qG <5J1}7:b 8KMBUڣ,LGWquku(xύ9"}5iN]~HNy՝o]p.n:!VKA+Mu ]0tA d7'_ X# a@{hh8ǒ"{ÇmIizvFv- `g|X7^FJ{ɘ2 >Wsߐ :LH `E{peTcr_A~pVekSh'՞ 1웰cQ}hf3W8jLO:oNEd_"@/GR4 i # ݂sy-5UL֗ .-mkE[TJ8U6OslC-om$фq-+4);dKl *K?zߴ,l4b QQXߖ~ݹ_!#cqVDn:}O5Dܟl$Gdɤ|~/)q;~'Fo-y8l><(Ouujwʱte:W|bF~qOC)[`G9R뚼y""6Ɨ?m@q~#/5W[ٵ=9š{ro5,,w20 – ïîêàçàòåëü ñîâåðøåíñòâà ïðîãðàììíîãî îáåñïå÷åíèÿ, îòðàæàþùèé âîç- ìîæíîñòü ïðîãðàììíîãî ïðîäóêòà äàòü æåëàåìûé êîíå÷íûé ðåçóëüòàò (Ê ïð ); – ñòîèìîñòü ïðîãðàììíîãî ïðîäóêòà (S ïð ); – êâàëèôèêàöèÿ îáñëóæèâàþùåãî ïåðñîíàëà ïî óðîâíÿì: ðåïðîäóêòèâíûé, ïðèêëàäíîé, ýâðèñòè÷åñêèé (Ê ïåð ) è åãî çàðïëàòà (S ïåð ); – ïîêàçàòåëü ðàöèîíàëüíîñòè çàãðóçêè îáîðóäîâàíèÿ (  ), êîòîðûé ìîæåò áûòü ïðåäñòàâëåí îòíîøåíèåì:  = загрузки ресурс загрузка реальная ; – ïîêàçàòåëü ðàöèîíàëüíîñòè çàãðóçêè ïåðñîíàëà (  ), êîòîðûé ìîæåò áûòü ïðåäñòàâëåí îòíîøåíèåì:  = задач класс ия квалификац . Òîãäà: ÝÊÊÑ= f(n îá , S îá ,Ê ïð ,S ïð, Ê ïåð , S ïåð,  ,  ) . Áåçóñëîâíî, ìîãóò áûòü íàçâàíû è äðóãèå àðãóìåíòû, îïðåäåëÿþùèå ýôôåê- òèâíîñòü ëîêàëüíûõ êîìïüþòåðíûõ ñåòåé, íî ýòî ëèøíèé ðàç ïîä÷åðêèâàåò èõ îðèåíòèðîâàííîñòü. Êîìïüþòåðíûå ñåòè ÏÑÑ, ñîñòàâëÿþùèå îñíîâó èíôîðìàöèîííîé è êîíòðîëè- ðóþùåé ïîäñèñòåì ëîãèñòè÷åñêîé ñèñòåìû, à òàêæå îñóùåñòâëÿþùèå ãèáêóþ êîððåêòèðîâêó âñåõ ýëåìåíòîâ ëîãèñòè÷åñêîé ñèñòåìû è ëîãèñòè÷åñêîãî ïðîöåñ- ñà â çàâèñèìîñòè îò çàïðîñîâ ðûíêà, èìåþò ñïåöèôè÷åñêèå ïðîáëåìû ïî ñðàâíå- íèþ ñ êîììåð÷åñêèìè êîìïüþòåðíûìè ñåòÿìè, ïðèçâàííûìè ìàêñèìàëüíîìó ÷èñëó ïîëüçîâàòåëåé ïåðåäàòü ìàêñèìàëüíûå îáúåìû èíôîðìàöèè â êðàò÷àéøåå âðåìÿ. Òàêèì îáðàçîì, ëîêàëüíûå ñåòè ïðîèçâîäñòâåííî-ñáûòîâûõ ñèñòåì áëàãîäàðÿ ñâîèì îñîáåííîñòÿì òðåáóþò ñâîåîáðàçíîãî ïîäõîäà ïðè èõ ïðîåêòèðîâàíèè è ýêñïëóàòàöèè. Ñïèñîê ëèòåðàòóðû : 1. Ïðîìûøëåííàÿ ëîãèñòèêà. Ëîãèñòèêî-îðèåíòèðîâàííîå óïðàâëå- íèå îðãàíèçàöèîííî-ýêîíîìè÷åñêîé óñòîé÷èâîñòüþ ïðîìûøëåííûõ ïðåäïðèÿòèé â ðû- íî÷íîé ñðåäå / Ïîä. ðåä. À. À. Êîëîáîâà. Ì.:Èçä-âî ÌÃÒÓ èì. Í.Ý. Áàóìàíà, 1997. 204ñ. 2. Ðåñóðñû Microsoft Windows NT Workstation 4.0: Ïåð. ñ àíãë. ÑÏá.: BHV-Ñàíêò-Ïåòåðáóðã, 1998. 800ñ. Ïîñòóïèëà â ðåäêîëëåãèþ 12.01.2001 Êîïàíèöà Âàëåíòèí Íèêîëàåâè÷, êàíä. òåõí. íàóê, äîöåíò êàôåäðû ÈÓÑ, Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. Ëåíèíà, 14, òåë. 40-94-51. Ìàêðóøàí Èðèíà Àíàòîëüåâíà, àññèñòåíò êàôåäðû ÈÓÑ ÕÒÓÐÝ. Àäðåñ: Óêðà- èíà, 61166, Õàðüêîâ, ïð. 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Äëÿ ôóíêöèè j -ïåðåìåííûõ ðÿä Òåéëîðà â îáùåì âèäå âûãëÿäèò ñëåäóþùèì îáðàçîì:         ) z z , y, y x, f(x 1 n i n 1 i R ) z ,..., y , x ( f z z ... y y x x ! i 1 ) z , y , x ( f                           , (3) ãäå îñòàòî÷íûé ÷ëåí   δz ν z δy,..., ν y δx, ν x f δz z ... δy y δx x 1)! (n 1 R j 2 1 1 n 1 n                            ; (4) 1 0 c    ; j , 2, 1, c   , z ,..., y , x    – ïîãðåøíîñòè ðåçóëüòàòîâ èçìåðåíèé àðãóìåíòîâ z ,..., y , x . Äëÿ ïîëó÷åíèÿ ëèíåéíîé çàâèñèìîñòè íóæíî îãðàíè÷èòüñÿ 1 n  . Íåêîòîðûå èç ïàðàìåòðîâ îïðåäåëÿþòñÿ ïóòåì îáðàáîòêè çíà÷èòåëüíîãî ÷èñ- ëà íàáëþäåíèé, à äðóãèå – îäíîêðàòíûìè èçìåðåíèÿìè. Ýòî îáñòîÿòåëüñòâî íå ïîçâîëÿåò âûïîëíÿòü äîñòàòî÷íî ñòðîãóþ îöåíêó ñóììàðíîé ïîãðåøíîñòè èçìå- ðåíèé êëàññè÷åñêèìè ìåòîäàìè îöåíêè ïîãðåøíîñòè êîñâåííûõ èçìåðåíèé áåç îïðåäåëåííûõ óïðîùåíèé. Ñîãëàñíî Ïðàâèëàì ÐÄ 50-213 – 80 ïðè ðàñ÷åòå ïîãðåøíîñòè äîïóñêàþò íåêîòîðûå óïðîùåíèÿ.  ðåçóëüòàòå ñðåäíþþ êâàäðàòè- ÷åñêóþ ïîãðåøíîñòü èçìåðåíèÿ ðàñõîäà Q  âû÷èñëÿþò ïî ôîðìóëå [1], ïîëó÷àå- ìîé â ñîîòâåòñòâèè ñ ôîðìóëîé (2) îïðåäåëåíèÿ ðàñõîäà ãàçà:   2 K 2 T 2 P 2 P 2 2 K 2 2 Q 25 . 0 Re                      , (5) ãäå   ,   , …, K  – ñðåäíèå êâàäðàòè÷åñêèå îòíîñèòåëüíûå ïîãðåøíîñòè âåëè- ÷èí  ,  , …, K .  ïðèâåäåííîé ôîðìóëå ñîñòàâëÿþùèå ïîãðåøíîñòè 2 d 20 4  è 2 k t 4  îïóùåíû ââèäó èõ ìàëîñòè.  äàííîì ñëó÷àå ôîðìóëà (5) ïîëó÷åíà ïóòåì ðàçëîæåíèÿ ôóíêöèè ðàñõîäà Q (2) â ðÿä Òåéëîðà ñ å¸ îãðàíè÷åíèåì ëèíåéíûì ÷ëåíîì ðÿäà è îòáðàñûâàíèåì îñòàòî÷íîãî ÷ëåíà. Òàêèì îáðàçîì, ïîñòàíîâêà çàäà÷è ôîðìóëèðóåòñÿ ñëåäóþùèì îáðàçîì: – íà îñíîâàíèè ôîðìóëû (3) ïóòåì ðàçëîæåíèÿ â ðÿä Òåéëîðà âûðàæåíèÿ (2) äî âòîðîãî ïîðÿäêà ( 2 n  ) îïðåäåëèòü àíàëèòè÷åñêîå ïðåäñòàâëåíèå îñíîâíîé îòíîñèòåëüíîé ïîãðåøíîñòè îïðåäåëåíèÿ ðàñõîäà ïðèðîäíîãî ãàçà ìåòîäîì ÏÏÄ â ìàãèñòðàëüíîì ãàçîïðîâîäå êðóãëîãî ñå÷åíèÿ; – îöåíèòü ïðàâîìåðíîñòü èñêëþ÷åíèÿ èç àíàëèòè÷åñêîãî âûðàæåíèÿ Q  ñîñòàâëÿþùèõ ïîãðåøíîñòåé 2 d 20 4  è 2 k t 4  , 3 R ; – îöåíèòü âëèÿíèå êâàäðàòè÷åñêîé ñîñòàâëÿþùåé Q 2  â öåëîì íà ñðåäíþþ êâàäðàòè÷åñêóþ ïîãðåøíîñòü èçìåðåíèÿ ðàñõîäà Q ~  . 3. Àíàëèç öåëåñîîáðàçíîñòè èñêëþ÷åíèÿ ñîñòàâëÿþùèõ 2 d 20 4  è 2 k t 4  Ñîãëàñíî [1], â çàâèñèìîñòè îò äèàïàçîíîâ çíà÷åíèé ìîäóëÿ äèàôðàãìû m âåëè÷èíà d  – äîïóñòèìîå ñðåäíåå êâàäðàòè÷åñêîå îòêëîíåíèå (ÑÊÎ) äèàìåòðà d ñóæàþùåãî óñòðîéñòâà – äëÿ äèàïàçîíà ðàáî÷èõ òåìïåðàòóð T (ïðè òåìïåðà- òóðå C 20 T   äèàìåòð 20 d d  , à ÑÊÎ 20 d d    ) ñîñòàâëÿåò: 025 , 0 d   äëÿ 4 , 0 m  è 05 , 0 d   ïðè 4 , 0 m  . Äàííîå çíà÷åíèå d  ÿâëÿåòñÿ àáñîëþòíûì. 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Ste Rl2c''s98M[Tyl>>3]f} K,l_s~QqtWӥу$gdd=l`yzpʖ]*]zKc;KBpxL%O!cw =&\xNsӀώ'nǴ(_cZ<)xPηs ;K.=m }Ђ@㱿Ø z;{9l#浞y쏌w-'U;IxL^h!SP뻾zK +"GքXS%\'vɋ:@4, 99= M|HEmy1W,դ4:z}!>FέjߔoǾb{M;`Wo=U7[Yrt}}DYo:",zӾ{Ɖךx=sdyɋ<שӻ0;v)MIvvZ^|Sϯ6W7޾oza_E6}Sҽ [^i~UM-Cǝ\y2zˋ~i~NyQ/_{Weӱ4KwX++o*9Ro:Bxle"<瀟)Й#_{K ~+(Nٮq]pzg yu;1{/*'= k}ީ~w7x7e$=.ݑ]OT@-XKb jbDw%x' :ɝ rSmvW ܼa1H䊿 <<3s.ig:c2G}iqnzr3t@\ϴF XY(ݿxg6f+ӁUVz ixK #](4x(O㩖}I/p1<_2?l~N3<=fg>?!)/WO,N5,//x]yJl=?\WV(V<6J3E $ &5ŽW|:Tq ]_QҮ\DQExR2=_M{K}ꢍWqGUfY2OrdY{gU~ަ-rI!嫾JBO|bS2M\yR5B!]spǕ{g+7ٴۦ.lt ݁6_/k)_hWr8?)#o/i_ɏ%_<;v|ϯl/6Qk[A^ *y&:K'>:q 7}<7zix1Р8I4?8 /ӕwpOXκJǂĿ>/WJJg=hvg&v:HΈ~EiX/-Kl^Q|2x y7m>o YuO[g,'2Bӥ-p% $[ޒ;e*o)]MYts_m_ZORuA *\TeLJ|on ss7H}nI~4Ǘӽ҈s~^&JoWx`KȫN{1aK9O%_L¾^K^嵷dº+ ={|wsk.g-cY{_&싼&yC7yeqv?ܦs*u5{^: ||׬C>mVtyPy;Q]!y}P:Î߭W>-WKR+qZ⋃U42FBȷ<Ҁ_<ƉoHAtU8uOM<v<&G}!ӹ|$Vd_Z'*8tzդ8zW?]m`H a]r %Ǚc %{ڕ3uSr>!KxccO?pOTMq?CPWT1ni\I-]>Ic~(10S׼|qd~ m}~>5Mr˾ʷk,$pUT#;ƒ^^L7Ziw|zq%zyN%z]{jP;W=}FoX╣z^S9zeݿ{ھob5_odS5Qo\劌-FYܼ>ye$<}l:/sX2ӿf]ڡ)j+TVٯl?vA|y6_%]j6e a*WGR,.87Y?,pA<_b,,q25 òåìïåðàòóðû èçìåðÿåìîãî ãàçà â ìàãèñòðàëüíîì ãàçîïðîâîäå íå ïðåâûøàåò 0,001%. Òàêæå áûëè ïðîâåäåíû ðàñ÷åòû ñðåäíèõ êâàäðàòè÷åñêèõ ïîãðåøíîñòåé èçìå- ðåíèÿ ðàñõîäà Q  è Q 1  , êîòîðûå ïðåäñòàâëÿþò ñîáîé ñîîòâåòñòâåííî ïîãðåøíî- ñòè ðàñ÷åòà ðàñõîäà Q ïî ôîðìóëå (5) ( Q  ), ò.å. áåç ó÷åòà ñîñòàâëÿþùèõ 2 d 20 4  è 2 k t 4  , è Q 1  – ñ ó÷åòîì ýòèõ ñîñòàâëÿþùèõ. Äàííûå âåëè÷èíû ðàññ÷èòûâàëèñü äëÿ ðåàëüíîãî ïóíêòà ó÷åòà ãàçà ñî ñëåäóþùèìè õàðàêòåðèñòèêàìè: мм 700 D 20  ; 5 - D t 10 1,34    (ñòàëü 20Ì); мм 400 d 20  ; 5 - d t 10 1,75    (ñòàëü 12Õ18Í10Ò); 2 кг/м 4000 P   ; 2 кг/см 37 P  ; К 305 Т  ; ñðåäñòâà èçìåðåíèÿ ðàñõîäà ãàçà – âû÷èñ- ëèòåëüíûé êîìïëåêñ Ôëîóòåê. Ïî ðåçóëüòàòàì ðàñ÷åòîâ ïîñòðîåíû ãðàôèêè ñëåäóþùèõ çàâèñèìîñòåé (ðèñ.2): 0,38 0,43 0,48 0,53 0,58 0,63 0,68 0,73 10 20 30 40 50 60 70 80 90 100 Ряд1 Ряд2 ,% Q Q max Ðèñ. 2. Õàðàêòåðèñòèêè îòíîñèòåëüíûõ ñðåäíåêâàäðàòè÷åñêèõ ïîãðåøíîñòåé: ðÿä 1 –           max Q Q Q f ; ðÿä 2 –           max Q 1 Q Q f 4. Îöåíêà êâàäðàòè÷íîé ñîñòàâëÿþùåé ðÿäà Òåéëîðà ïðè ðàñ÷åòå Q  Âòîðûì ýòàïîì óòî÷íåíèÿ çíà÷åíèÿ Q  ÿâëÿåòñÿ óìåíüøåíèå âåëè÷èíû îñòàòî÷íîãî ÷ëåíà ðÿäà Òåéëîðà. Âîçâðàùàÿñü ê ôîðìóëå (5), ñëåäóåò íàïîìíèòü, ÷òî îíà ïîëó÷åíà ïóòåì ðàçëîæåíèÿ ôóíêöèè ðàñõîäà Q , îïðåäåëÿåìîãî èç âûðàæåíèÿ (2), â ðÿä Òåéëîðà ñ îãðàíè÷åíèåì äàííîãî ðÿäà ëèíåéíûì ÷ëåíîì è èñêëþ÷åíèåì ñîñòàâëÿþùèõ ïîãðåøíîñòè 2 d 20 4  è 2 k t 4  ââèäó èõ ìàëîñòè. Êàê ïðàâèëî, îñòàòî÷íûì ÷ëåíîì ïðåíåáðåãàþò â òîì ñëó÷àå, êîãäà åãî âåëè- ÷èíà ñóùåñòâåííî ìåíüøå äðóãèõ ïîãðåøíîñòåé, âõîäÿùèõ â ðåçóëüòèðóþùåå âûðàæåíèå, èëè èñõîäÿ èç öåëåñîîáðàçíîñòè îïðåäåëåíèÿ íåîáõîäèìîé òî÷íîñòè èçìåðåíèÿ.  ýòîé ñâÿçè ìû ñ÷èòàåì íåîáõîäèìûì ïðè ðàçëîæåíèè ôóíêöèè â ðÿä ñîõðàíèòü åùå îäèí ÷ëåí, ò.å. 2 n  â (3). 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Èç ãðàôèêîâ âèäíà âåëè÷èíà ðàñõîæäåíèÿ Q 1  è Q ~  . Íà ðèñ. 3 äàííûå ðÿäà 1 ( Q ~  ) ÿâëÿþòñÿ ðåçóëüòàòîì ðàñ÷åòà ïî ôîðìóëå (9), à ðÿäà 2 ( Q 1  ) – ïî (5) ñ ó÷åòîì ñîñòàâëÿþùèõ 2 d 20 4  è 2 k t 4  . 5. Âûâîäû  ðåçóëüòàòå àíàëèçà ïîëó÷åííûõ çàâèñèìîñòåé, ïðèâåäåííûõ íà ðèñ. 1 è 2, à òàêæå íà îñíîâàíèè ôîðìóë (5), (9) è ðèñ. 3 ìîæíî ñäåëàòü ñëåäóþùèå âûâîäû. 1. Äëÿ ïðàêòè÷åñêîãî ïðèìåíåíèÿ êàê â ðó÷íîì, òàê è àâòîìàòè÷åñêîì ðåæè- ìàõ âû÷èñëåíèÿ ïîãðåøíîñòè ðàñõîäà ïðèðîäíîãî ãàçà ÿâëÿåòñÿ îáîñíîâàííûì íå âêëþ÷àòü ÑÊÎ 20 d  è t k  â ïðàêòè÷åñêèå ìåòîäèêè îïðåäåëåíèÿ ðàñõîäà Q . Ýòîò âûâîä ïîäòâåðæäåí äàííûìè ðèñ. 2, ãäå âèäíà ïðàêòè÷åñêàÿ ýêâèâàëåíò- íîñòü ïîãðåøíîñòåé Q  è Q 1  . 2. Ïîëó÷åííàÿ ôîðìóëà (9), îòîáðàæàþùàÿ çàâèñèìîñòü îòíîñèòåëüíîé ñðåä- íåêâàäðàòè÷åñêîé ïîãðåøíîñòè îïðåäåëåíèÿ ðàñõîäà Q  ñ ó÷åòîì êâàäðàòè÷íîãî ÷ëåíà ðÿäà Òåéëîðà, è ðàñ÷åòû, ïðîâåäåííûå ñ åå èñïîëüçîâàíèåì, ïîêàçàëè, ÷òî íåëèíåéíîñòü âòîðîãî ïîðÿäêà íåîáõîäèìî ó÷èòûâàòü â ïðàêòè÷åñêèõ ìåòîäèêàõ îïðåäåëåíèÿ ïîãðåøíîñòè Q  . Ñëåäóþùèì ýòàïîì èññëåäîâàíèÿ â äàííîì íàïðàâëåíèè ÿâëÿþòñÿ ðàáîòû ïî îïðåäåëåíèþ êîíêðåòíûõ îöåíîê âëèÿíèÿ íåëèíåéíîñòè â îáëàñòè ïðèìåíåíèÿ Ïðàâèë ÐÄ 50-213-80. Ñïèñîê ëèòåðàòóðû: 1. Ïðàâèëà èçìåðåíèÿ ðàñõîäà ãàçîâ è æèäêîñòåé ñòàíäàðòíûìè ñóæàþùèìè óñòðîéñòâàìè ÐÄ 50-213–80. Ì.: Èçä-âî ñòàíäàðòîâ. 1982. 320ñ. 2. Áðîíø- òåéí È.Í., Ñåìåíäÿåâ Ê.À. Ñïðàâî÷íèê ïî ìàòåìàòèêå äëÿ èíæåíåðîâ è ó÷àùèõñÿ ÂÒÓÇÎÂ. Ì.: Íàóêà, 1967. 608ñ. 3. Âàñèëüåâ Í.Ê. Ó÷åò ïðèðîäíîãî ãàçà íà îáúåêòàõ ìàãèñòðàëüíûõ ãàçîïðîâîäîâ. Ë.: Íåäðà, 1990. 129ñ. Ïîñòóïèëà â ðåäêîëëåãèþ 02.02.2001 Ïîíîìàðåâ Þðèé Âëàäèìèðîâè÷ , êàíä. òåõí. íàóê, äîöåíò, çàì. äèðåêòîðà ÍÈÏÈÀÑÓòðàíñãàç ïî ÍÈÎÊÐ. Íàó÷íûå èíòåðåñû: ãàçîèçìåðåíèÿ, ìåòðîëî- ãèÿ. Àäðåñ: Óêðàèíà, 61184, Õàðüêîâ, óë. Äðóæáû Íàðîäîâ, 223, êâ. 309, òåë. 20- 57-12. Êîòóçà Àëåêñàíäð Èâàíîâè÷ , ìëàäøèé íàó÷íûé ñîòðóäíèê Íàó÷íî-èññëåäîâà- òåëüñêîãî è ïðîåêòíîãî èíñòèòóòà àâòîìàòèçèðîâàííûõ ñèñòåì óïðàâëåíèÿ òðàíñïîðòîì ãàçà. Íàó÷íûå èíòåðåñû: ãàçîèçìåðåíèÿ, ìåòðîëîãèÿ. Àäðåñ: Óê- ðàèíà, 61058, Õàðüêîâ, óë. Äàíèëåâñêîãî, 20, êâ. 30, òåë. 20-57-65. Ãîðäèåíêî Èãîðü Àíàòîëüåâè÷ , íà÷àëüíèê Óïðàâëåíèÿ ñðåäñòâ àâòîìàòèçà- öèè, òåëåìåõàíèêè è ìåòðîëîãèè. Íàó÷íûå èíòåðåñû: ìåòðîëîãèÿ, èçìåðåíèÿ ôèçèêî-õèìè÷åñêèõ ñâîéñòâ ïðèðîäíîãî ãàçà. Àäðåñ: Óêðàèíà, Êèåâ, óë. 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L-ɓ-[͜ᐸ)v62o/e>*Dτ/\Q=(oI ~BqӞ@W8D_IEt;Q#\]MCv;6}S1sRƷ1j\oݢnhb~7v"GwYo}]mUoߛDǻ>4Bw5r٢/]Fw]]f+{e?It~NqʓuC&g+{Ս+oQN|eE2xUwo7Bu鿈"HJkw?[)EeziP‘rs$(p"o럾`~~EZUU[Eʹl},OW;te}5h\4=+WJW Vk \ѷX3S> k~Zߒv'iƴLCr>B}G)"`OC?d[_=xr,g3N/H<~VF>x#4zx_2q;np?B {˴e3F*IW30q|Pc]~Pj)mglw%1{9lncO7U#L s"g^;7"2&A#ku.,u~V]z>Ⱥv)܈1+ɺg<ܘyعjI#/Q|޸h|66v x 63n ߡ/v୿,,i28 ÓÄÊ 621.39 Â.Ì. ÁÅÇÐÓÊ, Â.À. ÒÈÕÎÍÎÂ, Ä.Â. ÒÈÕÎÍΠÐÀÑÏÎÇÍÀÂÀÍÈÅ ÑËÓ×ÀÉÍÛÕ ÑÈÃÍÀËΠÏÎ ÏÀÐÀÌÅÒÐÀÌ ÈÕ ÀÂÒÎÐÅÃÐÅÑÑÈÎÍÍÎÉ ÌÎÄÅËÈ Ðàññìàòðèâàþòñÿ àëãîðèòìû ðàñïîçíàâàíèÿ ñëó÷àéíûõ ñèãíàëîâ íà îñíîâå àâòîðåãðåññèîííîé ìîäåëè, êîãäà â êà÷åñòâå èíôîðìàòèâíûõ ïðèçíàêîâ èñ- ïîëüçóþòñÿ êîýôôèöèåíòû îòðàæåíèÿ ñîîòâåòñòâóþùåãî ðåøåò÷àòîãî ôèëüò- ðà. Àëãîðèòìû ðàñïîçíàâàíèÿ èññëåäîâàíû ìåòîäîì ñòàòèñòè÷åñêîãî ìîäåëèðî- âàíèÿ íà âûáîðêàõ ñèãíàëîâ ñ ðàçëè÷íûì âèäîì êîððåëÿöèîííîé ôóíêöèè. Ïðè ðåøåíèè ðÿäà ïðèêëàäíûõ çàäà÷ äëÿ îïèñàíèÿ ñèãíàëîâ óäîáíî èñïîëü- çîâàòü àâòîðåãðåññèîíóþ (ÀÐ) ìîäåëü. Èçâåñòíî, ÷òî ïàðàìåòðû ÀÐ ìîäåëè ñîäåðæàò èíôîðìàöèþ î ñèãíàëàõ, äëÿ êîòîðûõ îíà ïîñòðîåíà. Ïîýòîìó îíè ìîãóò ñëóæèòü èíôîðìàòèâíûìè ïðèçíàêàìè ïðè èõ ðàñïîçíàâàíèè [1-3]. Ðàñ- ñìîòðèì àëãîðèòìû ðàñïîçíàâàíèÿ ñëó÷àéíûõ ñèãíàëîâ, êîãäà â êà÷åñòâå èíôîð- ìàòèâíûõ ïðèçíàêîâ ñèãíàëîâ âûáèðàþòñÿ êîýôôèöèåíòû îòðàæåíèÿ ðåøåò÷à- òûõ ôèëüòðîâ (ÐÔ), îïðåäåëÿåìûõ ÀÐ ìîäåëüþ. 1. Ïîñòàíîâêà çàäà÷è Ïóñòü ðàñïîçíàâàíèþ ïîäëåæèò M ñëó÷àéíûõ ñèãíàëîâ ,M i (t), X i 1  , îïðåäå- ëÿåìûõ íà êîíå÷íîì èíòåðâàëå âðåìåíè ) , 0 ( T ñîâîêóïíîñòüþ ðàâíîîòñòîÿùèõ îòñ÷åòîâ ñèãíàëîâ ,L l , X l 1  . Çàäàíû âåðîÿòíîñòè ïðåäúÿâëåíèÿ ñèãíàëîâ i P , ïðè÷åì    M i i P 1 1 . Ñèãíàëû ðàçëè÷àþòñÿ íà óðîâíå êîððåëÿöèîííûõ ôóíêöèé, êîòîðûå àïðèîðè íåèçâåñòíû, îäíàêî ìîæåò áûòü ïîëó÷åíà êëàññèôèöèðîâàííàÿ îáó÷àþùàÿ âûáîðêà ñèãíàëîâ   ,M i ,n r L l X i i lr 1 , 1 , , 1 ,    . Ïðè çíà÷èòåëüíîé ðàçìåðíîñòè ïðåäñòàâëåíèÿ ñèãíàëîâ L , êîíå÷íîì îáúåìå îáó÷àþùåé âûáîðêè i n è îãðàíè÷åííîñòè âû÷èñëèòåëüíûõ ðåñóðñîâ àëãîðèòìû ðàñïîçíàâàíèÿ, îïðåäåëÿåìûå áàéåñîâñêèì êëàññèôèêàòîðîì, ïðàêòè÷åñêè íåðå- àëèçóåìû. Ïîýòîìó â çàäà÷àõ ðàñïîçíàâàíèÿ îáðàçîâ ââîäèòñÿ ýòàï ñîêðàùåíèÿ ðàçìåðíîñòè îïèñàíèÿ ñèãíàëîâ ïóòåì âûáîðà íåáîëüøîãî ÷èñëà èíôîðìàòèâíûõ ïðèçíàêîâ. Ðàññìîòðèì îñîáåííîñòè âûáîðà èíôîðìàòèâíûõ ïðèçíàêîâ è ïîñòðîåíèÿ ðåøàþùèõ ïðàâèë, îïðåäåëÿþùèõ àëãîðèòìû ðàñïîçíàâàíèÿ ñèãíàëîâ ïðè èõ îïèñàíèè â ðàìêàõ àâòîðåãðåññèîíîé ìîäåëè. 2. Îñîáåííîñòè àâòîðåãðåññèîíîé ìîäåëè è âûáîðà èíôîðìàòèâíûõ ïðèçíàêîâ ñèãíàëîâ Àâòîðåãðåññèîííàÿ ìîäåëü ñëó÷àéíîãî ñèãíàëà îïèñûâàåòñÿ ñîîòíîøåíèåì [1]       p l j i a i l j i l i j L j a X X 1 , 1 ,   , (1) ãäå p l i l , 1 ,   – êîýôôèöèåíòû ÀÐ i -ãî ñèãíàëà; j a – íåçàâèñèìûå ñëó÷àéíûå âåëè÷èíû ñ íóëåâûì ìàòåìàòè÷åñêèì îæèäàíèåì è åäèíè÷íîé äèñïåðñèåé; p – ïîðÿäîê ÀÐ ìîäåëè; 2 ) ( i a  – äèñïåðñèÿ îøèáêè ïðåäñêàçàíèÿ. 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:y/Z"QTh3=vEƗeK$oo-NN{xhPmzwJezxk5Gwgڕp]nS4w3~)=H{~ah{Yc<~_߇ײN=~.oxgʲ/~S7q!j\ rg#krޯ5,h\[+=M[vu=m)z'ʾ.lm5rL }(gwuwޕyf{@:7β==#JJ \/Qa{>+oIw6*ԩmsY#6,P~WlCz~ kwu]p?-7}7~vQexk 薝mwoT?5~C,wߵgi C\oIWcͯJ7uɣ@Y|k]ړ畎N/7mZS~.ǯmuxޅg>.nKptݫ`Y'p_h n]pLpYpk  ߕ&p7bɸg%5 IɸIp,\Ѹq ' jyqG?}=wp!qIwEyj16/~`z(w$*ȻP?~3o*x}(RCw+srixgܼ3npQ̀nl`ƍon|{pLp7 noƍon|{pۃnlƍon|{pۃQ=;Ѩqۃnon|y5n| 7:׊^]q<+ROonkn7Ff~ nwpۃ9nXpۃ9-9,3_u˷_~7G^ķ?JmM}V;=}ķOߞzbeo?QpyY}7ߞۧn*-''o%|t^e?J+?=ǷOU ډ;LQ,ߞuv跊nսz!|{pۃnonl 7=2 n/7=oFnl?7=oF7~Gƍon|{pۃQ=y"~iԸT>WWۃnZp[n7Qf~(f9(FΣqK;7dDo?P?Y1eoO=iC.ߞgء#}+}}㓾w;}V2-=|{oի]㣇oOzоAۃw|{pc lԸNpۃ{e>._pc5n|{pۃ܍7~pc5n|{pۃ܍nFƷ_)(<4j 7:$\%댹րwG4ߙ'bXwl ƖolI9 7w7v +܍1hرF܌܌܍96PpcCcC96cCEsp3np3np7opcw74~CswhΞ7whn|p;Q4w\Ch¸ɹp7+1GvDS~+k\~#eFVs-;y>1/H_m?MQ'@|ɹƿ@|iP[{2%v^}/1{ewOzLOU|l$ RG%6Ե{H^(7yh0R_C>T2[U~ 8P0&M@UC5bס-oyͤfƜ_hsp7P!Au40b.]gg_׵gFߠw̌/PU1puwl[;7z팾qR*|;CP|o6oq'%}|n?:5o/iy+kɇȇwSo0e0]BRʶ mW/5CO.ﻯu=γȏ82F0"Β;kcm/.٤"1,,`30 ãäå i i Q m ,  – ìàòåìàòè÷åñêîå îæèäàíèå è ìàòðèöà êîððåëÿöèîííûõ ìîìåíòîâ îöåíîê êîýôôèöèåíòîâ îòðàæåíèÿ i -ãî ñèãíàëà, êîòîðûå âû÷èñëÿþòñÿ ïî i n ðåàëèçàöèÿì îáó÷àþùåé âûáîðêè ñîãëàñíî âûðàæåíèÿì:     i n l i l i i K n m 1 1   ,                         i n j T i j i i j i i i m K m K n Q 1 ) 1 ( 1     . Àñèìïòîòè÷åñêè îïòèìàëüíîå â ñìûñëå ìèíèìóìà ñðåäíåé âåðîÿòíîñòè îøè- áîê ðàñïîçíàâàíèÿ ðåøàþùåå ïðàâèëî â ïðîñòðàíñòâå âûáðàííûõ èíôîðìàòèâ- íûõ ïðèçíàêîâ èìååò âèä i h M h h K W P i K W P h i                      , , 1 , / /   . Ñ ó÷¸òîì (3) ýòî ðåøàþùåå ïðàâèëî ìîæíî çàïèñàòü ñëåäóþùèì îáðàçîì: i h M h m K Q m K m K Q m K h h h h i i i tr i                                                , , 1 , 1 1           , (4) çäåñü          i i i P Q / ln 2 1  . Áåç ó÷åòà âçàèìíîé êîððåëÿöèè êîýôôèöèåíòîâ îòðàæåíèÿ ðåøàþùåå ïðàâè- ëî (4) óïðîùàåòñÿ è ïðèíèìàåò âèä i h M h m K m K P j P j j h j h i j i j i j                                , , 1 , 1 1 2 2   , (5) ãäå   2 j i  – äèñïåðñèÿ îöåíêè j -ãî êîýôôèöèåíòà îòðàæåíèÿ, íàéäåííàÿ ïî îáó÷àþùåé âûáîðêå äëÿ i -ãî ñèãíàëà. Ðàññìîòðåííûå èíôîðìàòèâíûå ïðèçíàêè è ðåøàþùèå ïðàâèëà îïðåäåëÿþò äîñòàòî÷íî ïðîñòûå àëãîðèòìû ðàñïîçíàâàíèÿ, êîòîðûå ìîãóò ðàáîòàòü äàæå ïðè çíà÷èòåëüíîé ðàçìåðíîñòè èñõîäíîãî ïðåäñòàâëåíèÿ ñèãíàëîâ.  ðåæèìå îáó÷å- íèÿ äëÿ êàæäîé ðåàëèçàöèè îáó÷àþùåé âûáîðêè ñèãíàëîâ èçâåñòíûìè ïðîöåäó- ðàìè íàõîäÿòñÿ îöåíêè êîýôôèöèåíòîâ îòðàæåíèÿ ÐÔ è ïî íèì âû÷èñëÿþòñÿ ïàðàìåòðû âûáðàííîãî ðåøàþùåãî ïðàâèëà (ñðåäíèå âåêòîðû, îáðàòíûå êîððå- ëÿöèîííûå ìàòðèöû, äèñïåðñèè îöåíîê êîýôôèöèåíòîâ îòðàæåíèÿ). Íà ýòàïå ðàñïîçíàâàíèÿ äëÿ ïðåäúÿâëåííîé ðåàëèçàöèè ñèãíàëà âû÷èñëÿþòñÿ îöåíêè êîýôôèöèåíòîâ îòðàæåíèÿ è ñ ïðèìåíåíèåì ðåøàþùåãî ïðàâèëà (4) ëèáî (5) âûíîñèòñÿ ðåøåíèå î ïðèíàäëåæíîñòè ñèãíàëà ê îäíîìó èç M ðàñïîçíàâàåìûõ ñèãíàëîâ. 4. Ýêñïåðèìåíòàëüíûå èññëåäîâàíèÿ àëãîðèòìîâ ðàñïîçíàâàíèÿ ñèãíàëîâ Èññëåäîâàíèÿ àëãîðèòìîâ ïðîâîäèëèñü ìåòîäîì ñòàòèñòè÷åñêîãî ìîäåëèðîâà- íèÿ íà âûáîðêàõ 3-õ ñèãíàëîâ ñ ðàçëè÷íûì âèäîì êîððåëÿöèîííîé ôóíêöèè. Âûáîðêè ñèãíàëîâ ïîëó÷åíû ñ ïîìîùüþ ïðîãðàììíîãî ãåíåðàòîðà, îñíîâàííîãî íà ÀÐ ìîäåëè ðåàëüíûõ ñèãíàëîâ [5]. Ñôîðìèðîâàíû îáó÷àþùèå è êîíòðîëüíûå âûáîðêè ïî 100 ðåàëèçàöèé äëÿ êàæäîãî ñèãíàëà. 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Áîêñ Äæ., Äæåíèíêñ Ã. Àíàëèç âðåìåííûõ ðÿäîâ. Ïðîãíîç è óïðàâëåíèå. Ì.:Ìèð,1974. 406ñ. 2. Øïèëåâñêèé Ý.Ê. Ïðèíöèïû äèíàìè÷åñêîé êëàññèôèêà- öèè ñòîõàñòè÷åñêèõ ïðîöåññîâ è ñèñòåì // Ñòàòèñòè÷åñêèå ïðîáëåìû óïðàâëåíèÿ. Âûï. 28. Âèëüíþñ:ÈÌ Ëèò. ÀÍ,1978. 139 ñ. 3. Êðàâ÷åíêî Í.È., Áåçðóê Â.Ì., Òèõîíîâ Â.À. Ðàñïîçíàâàíèÿ ñëó÷àéíûõ ñèãíàëîâ â ðàìêàõ àâòîðåãðåññèîíîé ìîäåëè // Âåðîÿòíîñòíûå ìîäåëè ñëó÷àéíûõ ñèãíàëîâ è ïîëåé. Ê.:ÓÌÊ ÂÎ,1991, ñ. 138-142. 4. Àäàïòèâíûå ôèëüòðû / Ïîä ðåä. Ô. Í. Êîóýíà è Ï. Ì. Ãðàíòà. Ì.: Ìèð, 1988. 392 ñ. 5. Òèõîíîâ Â.À., Òèõîíîâ Ä.Â. Àâòîðåãðåññèîíîå ìîäåëèðîâàíèå ðàäèîëîêàöèîííûõ îáúåêòîâ // Ñáîðíèê íàó÷íûõ òðó- äîâ. Âûï. 4(26). Õàðüêîâ: ÕÂÓ, 1999. Ñ. 27-29. Ïîñòóïèëà â ðåäêîëëåãèþ 24.01.2001 Áåçðóê Âàëåðèé Ìèõàéëîâè÷, êàíä. òåõí. íàóê, ñòàðøèé íàó÷íûé ñîòðóäíèê, äîöåíò êàôåäðû ñåòåé ñâÿçè ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ìîäåëèðîâàíèå è ìíîãîêðèòåðèàëüíàÿ îïòèìèçàöèÿ ñèñòåì ðàñïîçíàâàíèÿ ñèãíàëîâ. Óâëå÷åíèÿ è õîááè: òóðèçì, ÷òåíèå ëèòåðàòóðû. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. Ëåíèíà, 14, òåë. 40-94-26. Òèõîíîâ Âÿ÷åñëàâ Àíàòîëüåâè÷ , êàíä. òåõí. íàóê, äîöåíò êàôåäðû ðàäèîýëåê- òðîííûõ ñèñòåì ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: îáðàáîòêà ñèãíàëîâ â ðàäèîòåõíè- ÷åñêèõ ñèñòåìàõ. Óâëå÷åíèå è õîááè: àêòèâíûé îòäûõ. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. Ëåíèíà, 14, òåë. 40-95-87. Òèõîíîâ Äìèòðèé Âÿ÷åñëàâîâè÷ , ñòóäåíò ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ðàñïîç- íàâàíèå îáðàçîâ. Óâëå÷åíèå è õîááè: àêòèâíûé îòäûõ. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. Ëåíèíà, 14, òåë. 40-95-87. ÓÄÊ 681.501 Â.À. ÊÀËÎØÀ, Å.Ñ. ÏÛÆÎÂÀ, Ñ.Ã. ÓÄÎÂÅÍÊÎ ÐÎÁÀÑÒÍÛÅ ÐÅÃÓËßÒÎÐÛ ÄËß ÌÍÎÃÎÑÂßÇÍÛÕ ÏÐÎÖÅÑÑΠÑÎ ÑÒÐÓÊÒÓÐÍÛÌÈ ÂÎÇÌÓÙÅÍÈßÌÈ Ðàññìàòðèâàåòñÿ ïîäõîä ê îïðåäåëåíèþ óïðàâëÿþùèõ âîçäåéñòâèé äëÿ äåöåíòðàëèçîâàííîé ñèñòåìû öèôðîâîãî óïðàâëåíèÿ, îáåñïå÷èâàþùèõ ðîáàñò- íîñòü çàìêíóòîãî êîíòóðà ïðè íàðóøåíèè âçàèìîñâÿçåé ìåæäó îòäåëüíûìè ïîäñèñòåìàìè. Ïðåäëàãàåòñÿ àëãîðèòì âûáîðà ñóáîïòèìàëüíîé ñòðàòåãèè ðîáà- ñòíîãî óïðàâëåíèÿ äëÿ ìíîãîñòàäèéíûõ òåõíîëîãè÷åñêèõ ïðîöåññîâ.  íàñòîÿùåå âðåìÿ áîëüøîå âíèìàíèå óäåëÿåòñÿ äåöåíòðàëèçîâàííîìó óï- ðàâëåíèþ ìíîãîñâÿçíûìè ñèñòåìàìè è ðàçðàáîòêå ýôôåêòèâíûõ ìåòîäîâ èõ ïðîåêòèðîâàíèÿ. Îäíîé èç âàæíåéøèõ ïðîáëåì äëÿ äåöåíòðàëèçîâàííûõ ñèñòåì ÿâëÿåòñÿ îáåñïå÷åíèå óñòîé÷èâîñòè ïðè ñòðóêòóðíûõ âîçìóùåíèÿõ, îáóñëîâëåí- íûõ ïðåðûâàíèåì íåêîòîðûõ ñâÿçåé ìåæäó ïîäñèñòåìàìè. Áóäåì íàçûâàòü ìíîãîñâÿçíóþ ñèñòåìó ðîáàñòíîé ïî îòíîøåíèþ ê ñòðóêòóð- íûì âîçìóùåíèÿì, åñëè îíà îñòàåòñÿ óñòîé÷èâîé ïðè âñåõ âîçìîæíûõ íàðóøå- íèÿõ ñòðóêòóðû âçàèìîäåéñòâèé ïîäñèñòåì. Ðàññìîòðèì àëãîðèòì, ïîçâîëÿþùèé ñèíòåçèðîâàòü óïðàâëÿþùèå âîçäåé- ñòâèÿ, ïðè êîòîðûõ äåöåíòðàëèçîâàííàÿ ñèñòåìà áóäåò îñòàâàòüñÿ ðîáàñòíîé â ñëó÷àå âîçíèêíîâåíèÿ ñòðóêòóðíûõ âîçìóùåíèé. 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SEb OLln dL^޽lgٻRKVq2=Z/(j]!CDxՑӻ_Se\˷:Z} h}֩ 5;t7Ϟi=Ug5>+r,oHڷi9;w-ʸԼ>k=vyN 7M/:kG=vu>Wge|iJ>kqNj|n4wG';('4Loh:͠{ST5;mnG}ֳFyHǿIۏke]2Ҿ8-{+PArg~OWT^ޥOӲ!-7Fߊ.\۴oݛ7&]dϓeunoՏ mݷ #* BujАM}d7r]ũ}0="89*说uκh^\PY]޵*(U^\[4*5g&$ ;7{{V8OdF#Mмn?%m-Il+fOnՄݛu' k!)gy|{>Ǽ`5캑~MsuZǼTuҘa&u~j _s@*:/rN xs=,٥g3CB7AH[8aW:Qщ{E\qZO>>ysS-.)KD3<:ѱɊOG?T>6y/8/~\IKGNð?=G2;G?rW֟|ҟnLu^<^n3f)8OiuyqE'hސܛ^T8NE(tBk.Hk46Kj]`z-Իz@ ܢw Ow~ZuN7~o؏N& {p zʧY}[}"7/m@'OR!/H_. ~=Iov~MueJ~]:i`rJ؁F̵>;:rk?Uy%:@k q,,33 Äîïóñòèì, ÷òî ïðè îòñóòñòâèè ñòðóêòóðíûõ âîçìóùåíèé ðàññìàòðèâàåìàÿ ñèñòåìà ÿâëÿåòñÿ óñòîé÷èâîé è ïîëíîñòüþ óïðàâëÿåìîé. Ñôîðìèðóåì ôóíêöèîíàë êà÷åñòâà óïðàâëåíèÿ ñèñòåìîé â âèäå           N 1 i 0 k i i T i i i T i N 1 i i )] k ( u R ) k ( u ) k ( x Q ) k ( x [ J J , (2) ãäå 0 Q i  , 0 R i  . Î÷åâèäíî, ÷òî ïðè ïîëíîì ïðåðûâàíèè âçàèìîäåéñòâèé ìåæäó ïîäñèñòåìàìè (1), ò.å. ïðè 0 P ij  , äèíàìèêà ñèñòåìû áóäåò îïèñûâàòüñÿ óðàâíåíèÿìè ) k ( u D ) k ( x A ) 1 k ( x i i i i i    , N , 1 i  , (3) à îïòèìàëüíîå â ñìûñëå (2) óïðàâëåíèå äëÿ (3) îïðåäåëÿåòñÿ çàâèñèìîñòüþ ) k ( x K ) k ( u i i o i   ; i T i 1 i i P B R K   , (4) çäåñü i P – ïîëîæèòåëüíî-îïðåäåëåííîå ðåøåíèå óðàâíåíèÿ Ðèêêàòè äëÿ i-é èçîëèðîâàííîé ïîäñèñòåìû ñèñòåìû (3). Ïðè âîçîáíîâëåíèè âçàèìîäåéñòâèé ìåæäó ïîäñèñòåìàìè è ïðèìåíåíèè óï- ðàâëåíèÿ (4) îïèñàíèå çàìêíóòîé ñèñòåìû ìîæíî ïðåäñòàâèòü ñëåäóþùèì îáðà- çîì:        N 1 j j ij ij i i i i ) k ( x A ) k ( x ) K B A ( ) 1 k ( x , N , 1 i  . (5) Ïóñòü ïðåäåëüíîå çíà÷åíèå ìèíèìèçèðóåìîãî ôóíêöèîíàëà êà÷åñòâà J äëÿ ñèñòåìû (5) ñîîòâåòñòâóåò íåêîòîðîìó çíà÷åíèþ J , ò.å.:    N 1 i i J J . Åñëè ñèñòåìà (5) ÿâëÿåòñÿ àñèìïòîòè÷åñêè óñòîé÷èâîé ïðè íàëè÷èè ñòðóêòóð- íûõ âîçìóùåíèé è 0 J J  , òî áóäåì íàçûâàòü åå ñóáîïòèìàëüíîé ïðè ñòðóêòóðíûõ âîçìóùåíèÿõ, à êîíñòàíòó 0   , ñîîòâåòñòâóþùóþ íåðàâåíñòâó 0 J ) 1 ( J    , ] 1 , 0 [ ij    , (6) ãäå 0 J – çíà÷åíèå ôóíêöèîíàëà êà÷åñòâà äëÿ ñèñòåìû (3) è óïðàâëåíèÿ (4), îïðåäåëèì êàê èíäåêñ ñóáîïòèìàëüíîñòè ñèñòåìû. Ñ ïîìîùüþ ôóíêöèè Ëÿïóíîâà âèäà 2 P i i i i x ) x ( V  , N , 1 i  (7) îïðåäåëèì äîñòàòî÷íûå óñëîâèÿ, ïðè êîòîðûõ ñèñòåìà ÿâëÿåòñÿ ñóáîïòèìàëüíîé ñ èíäåêñîì  ïðè íàëè÷èè ñòðóêòóðíûõ âîçìóùåíèé. Åñëè ñèñòåìà (3), (4) ÿâëÿåòñÿ îïòèìàëüíîé, òî ôóíêöèÿ (7) óäîâëåòâîðÿåò óðàâíåíèþ Ãàìèëüòîíà – ßêîáè:   2 W i i i i i T i i i x x ) K B A ( ) x ( V     , (8) çäåñü i i T i i i K R K Q W   . Ïðîèçâîäíûå ôóíêöèè Ëÿïóíîâà ïî òðàåêòîðèè ) k ( x ˆ i äëÿ ñèñòåìû (5) ïðè îòñóòñòâèè ñòðóêòóðíûõ âîçìóùåíèé (ò.å. ïðè 1 ij   äëÿ j , i  ) ðàâíû   2 W i N 1 j j ij T i i i i i x ˆ x ˆ A ) x ˆ ( V ) x ˆ ( V       . (9) Ñ ó÷åòîì (6) è (8) ïðåîáðàçóåì (9) ê âèäó   2 W i N 1 j j ij T i i i i 2 W i i i x ˆ x ˆ A ) x ˆ ( V ) 1 ( ) x ˆ ( V ) 1 ( x ˆ              , N , 1 i  . 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Ðåøåíèå òàêîé çàäà÷è îïðåäåëÿåòñÿ çàâèñèìîñòüþ ) k ( e ˆ G ) k ( x ˆ G ) k ( y P B ~ R ) k ( u i 2 i i 1 i i i T i 1 i 0 i       , N , 1 i  . (20) Ïðè ýòîì óðàâíåíèå îïòèìàëüíîé ýòàëîííîé ñèñòåìû ïðèìåò âèä ) k ( e G B ) k ( e ˆ C ) k ( x A ˆ ) 1 k ( x ˆ i i i i i i i     , N , 1 i  , ãäå 1 i i i i G B A A ˆ   . Åñëè óðàâíåíèå (20) ïðèìåíèòü ê ñèñòåìå (1), òî ïîëó÷èì ) k ( e ˆ G B ) k ( e C ) k ( x A ˆ ) 1 k ( x i i i i i i i i     . Äëÿ ìèíèìèçàöèè ðàñõîæäåíèÿ ìåæäó ) k ( x i è ) k ( x ˆ i äëÿ êàæäîé ïîäñèñòåìû ðåøèì äîïîëíèòåëüíóþ îïòèìèçàöèîííóþ çàäà÷ó âèäà:   min ) k ( e ~ ) k ( x ~ 5 . 0 J 0 k 2 S i 2 H i i i i       , ) k ( e ~ C ) k ( x ~ A ˆ ) 1 k ( x ~ i i i i i    , çäåñü ) k ( x ) k ( x ˆ ) k ( x ~ i i   , ) k ( e ˆ ) k ( e ) k ( e ~ i i i   , 0 H i  , 0 S i  . Ðåøåíèåì ýòîé çàäà÷è ÿâëÿåòñÿ: ) k ( x ~ P ~ C S ) k ( e ~ i i T 1 1 i 0 i    , ãäå i P ~ îïðåäåëÿåòñÿ èç ñîîòâåòñòâóþùåãî óðàâíåíèÿ Ðèêêàòè. Îêîí÷àòåëüíî äëÿ çàìêíóòîé äåöåíòðàëèçîâàííîé ñèñòåìû ñ íåÿâíîé ýòàëîí- íîé ìîäåëüþ ïîëó÷àåì óðàâíåíèå âèäà:   ) k ( x P ~ C S ) k ( e ˆ G B ) k ( e C ) k ( x ) P ~ C S G B A ˆ ( ) 1 k ( x i i T i 1 i i 2 i i i i i i T i 1 i 2 i i i i         . (21)  ñîîòâåòñòâèè ñ ìåòîäèêîé, ïðèâåäåííîé â [1], ñôîðìóëèðóåì äîñòàòî÷íîå óñëîâèå äëÿ àñèìïòîòè÷åñêîé óñòîé÷èâîñòè ñèñòåìû (21):             N 1 i i min i N 1 j ij * i max i N 1 i i ) W ( min 5 . 0 ) P ( max , ãäå * i T * i i P A   , ) P ~ , P ( diag P i i * i  , ij i ij A C   ,                 i T i 1 i i 2 i i i i T i 1 i 2 i i i i T i 1 i 2 i i * i P ~ C S C G B C 0 0 0 0 P ~ C S C B C P ~ C S C B A . 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Ýòî äîêàçàòåëüñòâî ìîæåò ïðèìåíÿòüñÿ ê äàííîìó ñëó÷àþ. Äîêàæåì ñëåäóþùóþ òåîðåìó. Òåîðåìà . Äàííûå äâå äîïóñòèìûå ïàðàìåòðèçàöèè ñ îäèíàêîâûì ÷èñëîì ïàðàìåòðîâ äëÿ îäíîãî è òîãî æå ïðîöåññà ïîðÿäêà n èìåþò îäèíàêîâûå äåòåðìèíàíòû èíôîðìàöèîííûõ ìàòðèö, ñîîòâåòñòâóþùèå ýòèì äâóì ïà- ðàìåòðèçàöèÿì . Ïóñòü  è *  – âåêòîðû ïàðàìåòðîâ, ñîîòâåòñòâóþùèå äâóì ïàðàìåòðèçàöè- ÿì (F, K, H) è ( ) H , K , F * * * . Èíôîðìàöèîííûå ìàòðèöû  M è * M  ñîîòíîñÿòñÿ êàê                                                                                                                                                                                   * T * * T Y T * * T * * Y * * T * * * Y * M ) Y ( p log ) Y ( p log E ) Y ( p log ) Y ( p log E ) Y ( p log ) Y ( p log E M (2) Òàê êàê        M det )) / (det( M det 2 * * , à èç ïðèâåäåííîãî äîêàçàòåëüñòâà 1 ) / det( *      , ïîýòîìó    M det M det * . Èç òåîðåìû è îáñóæäåíèÿ, ïðîâåäåííîãî âûøå, ñëåäóåò, ÷òî â Ãàóññîâñêîì ñëó÷àå äâå ïàðàìåòðèçàöèè, îöåíèâàåìûå ñõåìîé ìàêñèìóìà ïðàâäîïîäîáèÿ, áóäóò äàâàòü àñèìïòîòè÷åñêè îäèíàêîâóþ âåëè÷èíó äåòåðìèíàíòà ìàòðèöû êî- âàðèàöèé îøèáîê ïàðàìåòðà. Êîíå÷íî, äðóãèå êðèòåðèè ìîãóò áûòü èñïîëüçîâàíû, ÷òîáû íàéòè ðàçëè÷èÿ, õîòÿ áû àñèìïòîòè÷åñêè, ìåæäó ðàçíûìè äîïóñòèìûìè ñòðóêòóðàìè. Òàê êàê òåîðåòè÷åñêèå ðåçóëüòàòû òðóäíî ïîëó÷èòü äëÿ îãðàíè÷åííîãî íàáîðà äàííûõ, ïðèâåäåì ñóáîïòèìàëüíûé ìåòîä îöåíêè ñòðóêòóðû, êîòîðûé îñíîâàí íà âûáîðå íàèáîëåå íåçàâèñèìûõ êîìïîíåíòîâ â âåêòîðå ñîñòîÿíèÿ. Ïðåäñòàâèì ëèíåéíûé ñòàöèîíàðíûé ñòîõàñòè÷åñêèé ïîëíîãî ðàíãà ïðîöåññ t y , êîòîðûé ìîæåò áûòü ìîäåëèðîâàí êîíå÷íî - ìåðíûì ïðåäñòàâëåíèåì â ïðîñòðàíñòâå ñîñòîÿíèÿ (1). Çäåñü y t – íàáëþäàåìûé ïðîöåññ ðàçìåðíîñòè p; x t – âåêòîð ñîñòîÿíèÿ ðàçìåðíî- ñòè n; e t – Ãàóññîâñêèé áåëûé øóì ðàçìåðíîñòè p; F, K,H – ìàòðèöû îïðåäåëåí- íîé ðàçìåðíîñòè. Ñòîõàñòè÷åñêèé âõîä e t ìîæåò áûòü ðàññìîòðåí êàê îáíîâëÿþ- ùèé y t ïðîöåññ, îïðåäåëÿåìûé êàê 1 t t t t y y e     , (3) ãäå 1 t t y   – íà îäèí øàã âïåðåä ïðåäñêàçàòåëü y t , ïðîåêöèÿ y t íà ïðîñòðàíñòâî ( 1 t Y    ), çàìêíóòîå ëèíåéíîå ïîäïðîñòðàíñòâî H, èçìåðÿåìîå êîìïîíåíòàìè  y äëÿ 1 t    . 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ËÅÂÛÊÈÍ, Ì.Â. ÅÂËÀÍÎÂ, À.ß. ÑÊËßÐΠÃÅÍÍÛÉ ÏÎÄÕÎÄ Ê ÑÎÇÄÀÍÈÞ ÑËÎÆÍÛÕ ÈÍÔÎÐÌÀÖÈÎÍÍÛÕ ÓÏÐÀÂËßÞÙÈÕ ÑÈÑÒÅÌ Ðàññìàòðèâàåòñÿ íîâûé ïîäõîä ê îðãàíèçàöèè ïðîåêòèðîâàíèÿ ñëîæíûõ èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì (ÈÓÑ). Âûäâèãàåòñÿ èäåÿ ãåííîãî ïîä- õîäà, èçëàãàþòñÿ îñíîâíûå êîíöåïöèè è íàïðàâëåíèÿ ðåàëèçàöèè ãåííîãî ïîä- õîäà ê ñîçäàíèþ è ýêñïëóàòàöèè ñëîæíûõ ÈÓÑ. Ðàññìàòðèâàþòñÿ îñíîâíûå âèäû ðàáîò, òðåáóþùèõ ðåàëèçàöèè â ðàìêàõ ãåííîãî ïîäõîäà ïðè ñîçäàíèè ÈÓÑ. Ïðåäëàãàåòñÿ ñòðóêòóðíàÿ ñõåìà ÈÓÑ, ðàçðàáîòàííàÿ ñ ó÷åòîì òðåáîâà- íèé ãåííîãî ïîäõîäà. Îòìå÷àþòñÿ îñíîâíûå íàïðàâëåíèÿ èññëåäîâàíèé â îáëàñ- òè ðåàëèçàöèè òåõíîëîãèè ãåííîãî ïðîåêòèðîâàíèÿ, êîòîðûå ñïîñîáíû äàòü êîíêðåòíûå ïðàêòè÷åñêèå ðåçóëüòàòû.  íàñòîÿùåå âðåìÿ ïîñòðîåíèå ñëîæíûõ ÈÓÑ â áîëüøèíñòâå ñëó÷àåâ ðàñ- ñìàòðèâàåòñÿ êàê àäàïòàöèÿ èìåþùèõñÿ â ðàñïîðÿæåíèè îðãàíèçàöèè-ðàçðà- áîò÷èêà òèïîâûõ ðåøåíèé ïî îòäåëüíûì êîìïîíåíòàì ÈÓÑ èëè òèïîâîé ÈÓÑ ê îñîáåííîñòÿì êîíêðåòíûõ îáúåêòîâ àâòîìàòèçàöèè (ÎÀ). Ïðè ýòîì îðãàíèçàöèè- ðàçðàáîò÷èêè â öåëÿõ îáåñïå÷åíèÿ ñîîòâåòñòâèÿ ñîçäàâàåìûõ ÈÓÑ îñîáåííîñòÿì êîíêðåòíûõ ÎÀ ëèáî àäàïòèðóþò ñóùåñòâóþùèå òèïîâûå ðåøåíèÿ, ëèáî ðàçðà- áàòûâàþò èõ äîïîëíåíèÿ ïðèìåíèòåëüíî ê êîíêðåòíîìó ÎÀ. Ñëåäóåò òàêæå îòìåòèòü, ÷òî áîëüøèíñòâî îðãàíèçàöèé-ðàçðàáîò÷èêîâ ÈÓÑ â íàñòîÿùåå âðåìÿ âëàäåþò äîñòàòî÷íî áîëüøèì êîëè÷åñòâîì òèïîâûõ ðåøåíèé äëÿ ñàìûõ ðàçëè÷- íûõ êëàññîâ ÎÀ [1]. Îäíàêî òàêîå ïðåäñòàâëåíèå äåÿòåëüíîñòè îðãàíèçàöèé-ðàçðàáîò÷èêîâ ÈÓÑ íå ëèøåíî íåäîñòàòêîâ. Òàê, íåîáõîäèìîñòü õðàíåíèÿ ðàçðàáîòàííûõ òèïîâûõ ðåøåíèé ïðèâîäèò ê ïðîáëåìàì ñîõðàíåíèÿ áîëüøîãî îáúåìà èíôîðìàöèè ñ äîâîëüíî âûñîêîé ñòåïåíüþ åå äóáëèðîâàíèÿ.  òî æå âðåìÿ ðàçðàáîòêè óíè- êàëüíûõ ðåøåíèé è íîâûõ òèïîâûõ ðåøåíèé îñóùåñòâëÿþòñÿ òðàäèöèîííûì ïóòåì – àíàëèç è ñèíòåç ôóíêöèîíàëüíîé ñòðóêòóðû ðåøåíèÿ, çàòåì ðàçðàáîòêà îòäåëüíûõ âèäîâ îáåñïå÷åíèÿ è èíòåãðàöèÿ ýòèõ ðàçðàáîòîê â åäèíóþ öåëîñòíóþ îáåñïå÷èâàþùóþ ÷àñòü ñîçäàâàåìîãî ðåøåíèÿ. Èñïîëüçîâàíèå ñïåöèàëüíûõ èí- ñòðóìåíòàëüíûõ ñðåäñòâ àâòîìàòèçàöèè ðàçðàáîòêè ÈÓÑ è åå îòäåëüíûõ êîìïî- íåíòîâ [2] ïîçâîëÿþò ëèøü íåñêîëüêî ñîêðàòèòü âðåìåííûå è ôèíàíñîâûå çàòðà- òû íà ðàçðàáîòêó, íî íå èçìåíÿþò êîðåííûì îáðàçîì ïðîöåññû ïîñòðîåíèÿ ñëîæíûõ ÈÓÑ. Òàêèì îáðàçîì, âîçíèêàåò íåîáõîäèìîñòü â ñîçäàíèè íîâîé òåõíîëîãèè àâòîìàòèçèðîâàííîãî ñîçäàíèÿ ÈÓÑ, êîòîðàÿ ïîçâîëÿëà áû â çíà÷è- òåëüíîé ìåðå óñòðàíèòü óêàçàííûå âûøå íåäîñòàòêè. Îñíîâíûì òðåáîâàíèåì ê äàííîé òåõíîëîãèè ÿâëÿåòñÿ òðåáîâàíèå ìèíèìèçèðîâàòü âðåìåííûå (à ñëåäîâà- òåëüíî, ìàòåðèàëüíûå è ôèíàíñîâûå) çàòðàòû íà ðàçðàáîòêó è âíåäðåíèå ÈÓÑ. Êàê ñëåäñòâèå, ê òàêîé òåõíîëîãèè âûäâèãàþòñÿ òðåáîâàíèÿ: – ìàêñèìàëüíî âîçìîæíîå èñïîëüçîâàíèå êîíöåïöèè òèïèçàöèè ðåøåíèé äëÿ ÈÓÑ â öåëîì è äëÿ îòäåëüíûõ åå êîìïîíåíò; – ìèíèìèçàöèÿ ñîõðàíÿåìîé èíôîðìàöèè îá îñîáåííîñòÿõ ðåàëèçàöèè òèïî- âûõ è óíèêàëüíûõ ðåøåíèé; – ìàêñèìàëüíî ïîëíîå èñïîëüçîâàíèå èìåþùåéñÿ èíôîðìàöèè î òèïîâûõ è óíèêàëüíûõ ðåøåíèÿõ ïðè ðàçðàáîòêå íîâîé ÈÓÑ. Èñõîäÿ èç ýòèõ òðåáîâàíèé, äëÿ ñîçäàíèÿ äàííîé òåõíîëîãèè ïðåäïîëàãàåòñÿ èñïîëüçîâàòü òàê íàçûâàåìûé ãåííûé ïîäõîä.  åãî îñíîâó ïðåäëàãàåòñÿ ïîëî- æèòü ïîíÿòèå “ èíôîðìàöèîííûé ãåí ” - ïîñëåäîâàòåëüíîñòü óêàçàíèé ïî ðàçðà- áîòêå ôóíêöèîíàëüíîé è îáåñïå÷èâàþùåé ÷àñòåé ÈÓÑ. Ïî ñâîåé ñóòè èíôîðìà- öèîííûé ãåí ÿâëÿåòñÿ óïîðÿäî÷åííîé è â ñèëüíîé ñòåïåíè ñæàòîé ïîñëåäîâà- òåëüíîñòüþ çíàíèé (ïðàâèë) ïîñòðîåíèÿ êîìïîíåíò ÈÓÑ. 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Ïîä “ ïèòàòåëüíîé ñðåäîé ” ñëåäóåò ïîíèìàòü íàêîïëåííûå îðãàíèçàöèåé-ðàçðàáîò÷èêîì ïðîåêòíûå ðåøåíèÿ, ïðåäñòàâëÿåìûå â íàèáîëåå óäîáíîì äëÿ ðàçðàáîòêè âèäå (íàïðèìåð, â âèäå ñïåöèàëüíûõ áèáëèîòåê, òðàíñ- ëÿòîðîâ èëè êîìïèëÿòîðîâ ñïåöèàëüíûõ ÿçûêîâ ïðîåêòèðîâàíèÿ). Ìîæíî óêàçàòü äâà îñíîâíûõ íàïðàâëåíèÿ ðåàëèçàöèè ãåííîãî ïîäõîäà ê ñîçäàíèþ ÈÓÑ. Ïåðâîå íàïðàâëåíèå çàêëþ÷àåòñÿ â ïðåäñòàâëåíèè èíôîðìàöè- îííîãî ãåíà êàê ïîñëåäîâàòåëüíîñòè èíòåëëåêòóàëüíûõ êîìïàðàòîðîâ, àíàëèçè- ðóþùèõ ñîñòîÿíèå ïèòàòåëüíîé ñðåäû è ïðåîáðàçóþùèõ åå â òðåáóåìûé êîìïî- íåíò ÈÓÑ ñ ó÷åòîì òðåáîâàíèé è îãðàíè÷åíèé çàêàç÷èêà ê ñèñòåìå è âûÿâëåííûõ óñëîâèé åå ôóíêöèîíèðîâàíèÿ. Äàííîå íàïðàâëåíèå îïðåäåëÿåò ñëåäóþùèå âèäû ðàáîò ïî ñîçäàíèþ ÈÓÑ: – ðàçðàáîòêà “ àìîðôíûõ ” ïèòàòåëüíûõ ñðåä, ò.å. ñðåä, èìåþùèõ îòíîñèòåëüíî ïðîñòóþ ñòðóêòóðó è äîñòóïíûõ äëÿ ïðåîáðàçîâàíèÿ â òðåáóåìûå êîìïîíåíòû ÈÓÑ; – àíàëèç ÎÀ è òðåáîâàíèé áóäóùèõ ïîëüçîâàòåëåé ê ñîçäàâàåìîé ÈÓÑ è åå îòäåëüíûì êîìïîíåíòàì; – ñèíòåç íà îñíîâå ðåçóëüòàòîâ ïðîâåäåííîãî àíàëèçà ñòðóêòóð è ñîäåðæàíèÿ èíôîðìàöèîííûõ ãåíîâ, íåîáõîäèìûõ äëÿ ñîçäàíèÿ òðåáóåìîé ÈÓÑ. Äðóãîå íàïðàâëåíèå çàêëþ÷àåòñÿ â ïðåäñòàâëåíèè èíôîðìàöèîííîãî ãåíà è ïèòàòåëüíîé ñðåäû êàê ñàìîîðãàíèçóþùèõñÿ ñèñòåì, ñïîñîáíûõ èçìåíÿòü ñâîþ ñòðóêòóðó è ñîäåðæàíèå ïîä âîçäåéñòâèåì âíåøíåé ñðåäû (ñòðóêòóðû ÎÀ, çàäàâàåìûõ ïîëüçîâàòåëÿìè öåëåé ôóíêöèîíèðîâàíèÿ ÈÓÑ, ïðîåêòíûõ îãðàíè- ÷åíèé è.ò.ä.). Èíûìè ñëîâàìè, ïîñòðîåííûé òàêèì îáðàçîì èíôîðìàöèîííûé ãåí äîëæåí íå òîëüêî îáåñïå÷èòü ñèíòåç íà îñíîâå ïèòàòåëüíîé ñðåäû òðåáóåìîãî êîìïîíåíòà ÈÓÑ, íî è ðåàãèðîâàòü íà èçìåíåíèå óñëîâèé ýêñïëóàòàöèè ýòîãî êîìïîíåíòà èëè íà èçìåíåíèå ïèòàòåëüíîé ñðåäû ïóòåì ìîäèôèêàöèè êîìïîíåí- òà ÈÓÑ. Äàííîå íàïðàâëåíèå îïðåäåëÿåò ñëåäóþùèå âèäû ðàáîò: – àíàëèç è ñèíòåç ñàìîîðãàíèçóþùèõñÿ ïèòàòåëüíûõ ñðåä, ñïîñîáíûõ ê âçàèìîäåéñòâèþ êàê ñ èíôîðìàöèîííûìè ãåíàìè, òàê è ñ âíåøíèì ìèðîì äëÿ ñîâåðøåíñòâîâàíèÿ ñâîèõ ñòðóêòóð è ñîäåðæàíèÿ; – àíàëèç ÎÀ ñ öåëüþ èõ äåòàëüíîé êëàññèôèêàöèè è âûÿâëåíèÿ íàèáîëåå ïðåäïî÷òèòåëüíûõ òèïîâûõ ðåøåíèé ÈÓÑ äëÿ èçó÷àåìîãî êëàññà ÎÀ è îòäåëü- íîãî ÎÀ; – ñèíòåç ñàìîîðãàíèçóþùèõñÿ èíôîðìàöèîííûõ ãåíîâ òèïîâûõ ðåøåíèé äëÿ òðåáóåìûõ êîìïîíåíòîâ ÈÓÑ; – ðàçðàáîòêà ìåõàíèçìîâ ñàìîîðãàíèçàöèè, îáóñëàâëèâàþùèõ êàê ðàçâèòèå òðåáóåìîãî êîìïîíåíòà ÈÓÑ èç èíôîðìàöèîííîãî ãåíà ñîîòâåòñòâóþùåãî òèïî- âîãî ðåøåíèÿ, òàê è ìîäåðíèçàöèþ ñòðóêòóðû è ñîäåðæàíèÿ èíôîðìàöèîííîãî ãåíà â ñîîòâåòñòâèè ñ îñîáåííîñòÿìè ÎÀ. Èñïîëüçîâàíèå ãåííîãî ïîäõîäà â ñâîþ î÷åðåäü òðåáóåò äîñòàòî÷íî âûñîêîãî óðîâíÿ òèïèçàöèè ñîçäàâàåìûõ ÈÓÑ. Ïðè ýòîì òèïèçàöèÿ äîëæíà çàòðàãèâàòü íå òîëüêî ñîäåðæàíèå ÈÓÑ, êàê-òî: çàäà÷è óïðàâëåíèÿ, ìîäåëè è àëãîðèòìû ðåøåíèÿ ýòèõ çàäà÷, ïðîãðàììíûå êîìïëåêñû è ò.ä., íî è ñòðóêòóðó ÈÓÑ. Ïðè ýòîì ñëåäóåò ïîìíèòü, ÷òî îñíîâíûå öåëè àâòîìàòèçàöèè ñîâðåìåííûõ ïðåäïðè- ÿòèé ìîæíî âûðàçèòü ñëåäóþùèì îáðàçîì [3]: – ñíèæåíèå òðóäîåìêîñòè ïðîöåññîâ óïðàâëåíèÿ ÎÀ ïóòåì àâòîìàòèçàöèè ïðîöåññîâ ñáîðà, îáðàáîòêè, õðàíåíèÿ è îòîáðàæåíèÿ èíôîðìàöèè; – ïîâûøåíèå òî÷íîñòè óïðàâëåí÷åñêèõ ðàñ÷åòîâ, ñâÿçàííûõ ñ îáðàáîòêîé áîëüøèõ îáúåìîâ èíôîðìàöèè ïóòåì ñîãëàñîâàíèÿ ïðîöåññîâ îáðàáîòêè èíôîð- ìàöèè ðàçëè÷íûìè ïîäðàçäåëåíèÿìè ÎÀ ïðè ðåøåíèè ðàçëè÷íûõ çàäà÷ óïðàâ- ëåíèÿ; – ïîâûøåíèå îïåðàòèâíîñòè ðàñ÷åòîâ è àíàëèçà óïðàâëåí÷åñêèõ ðåøåíèé ïóòåì àâòîìàòèçàöèè ðåøåíèÿ çàäà÷ àíàëèçà ñîñòîÿíèÿ ÎÀ è ïðîãíîçèðîâàíèÿ âîçìîæíûõ èçìåíåíèé ñîñòîÿíèÿ ÎÀ; +xmTUǟ;8ݝö+A#D, v?*9ARw-V70#V +E!DR[E6s۲3sDw_(=c|;+6_k.?s=>"/xON;Σ,Qyywt goYxn{{6n-{e~ΰ{u9 t9/iS J$V9(#K|\eԀsXTX$#Lwb{QR@4VJ6bdZl{ .$.= cʼn'2kRΑSV\D^>)dUoA~ZշYl 2Zav] )IaǬ0IL+m5r i2 P l,jh1':v.b`l '?"AO'"]+O/]+:\+kc~"_>,l"%x:h"+qldi`Y{9gjJ-YzW\M yNo}=g:)1q;@Mygk؅n{1> -e<줖F:~Mۀݜ&py9 {XD$F%13~Zl!w <~Rݚvl ߅zGnB[[gaoO@UzB:O+x KmWaq1';yr3q8 wx*g=s?Gv->Mf܎0S]t3 .rMs.sWeTNszV9P?HCV/ Bw;]Dg_a"xks]ktQe ١\kxuS|ѹ6G4L7DT+?2 PQhNkxAfL9;t@T*q^""=sdYDR9wT|FHןtN[椓{|:1 ywcϬwg\Svoe/9vs;X3еjgGcE4F8ɝs DS^kt'(uY8uݔXwT/7FrMDIl.+;됝NOWqJCWS_LB 0V9aÒ/46җ^gqn ej+"{!'^Xkb?eDG< ,mP9Z#]A"ӟŮK=t9d0^Ə6ԣ<۵s#GB('vd)˳kw$rοO:YocVeW^)^2l츶:vu)|\=w֧T1xlܖϸ ǎ//)Du1?6V׮]ex1-̣O+% lD%^#'WeU^GqWNu$Y+e1Q]׭oy:sd;؛[U[v9ݛ:{ֵl|qҷ&.\D13n]عgCm)3kӣﻴea| Zg2YƗr?[}xyvԃ?)Ꮣ1[퍡֖68a?]ߕۣsʈS.)3'92+Km[UYWkTo1qmekөϪ3lne[?󱾩kG:*y sDHV拺19-g{K1”s':W:e5 Y3㦞|c N\\"E{h0Źč➝3~9L6֑3m/-Vf*{@)H(掊s{3uGڵc¼f C?JMԨ= qT3 t'܊WVm.>SEfQ .؂;o.>MJc :/ ۲;WBqFv"?\)e_\h6Sv7T%9z$  U0]׋c#WY~\=Nc?zQiO7e\zWrʭ%dDZmBǃ [oKu3^ gs%1<7 :v_==aqOL[̡t.V3^}xVa xfSII'):;D L$jI/-mSppHυBi:XgJײ["ۂyuÜ_+*sS-bvU0uW07K<ܙ5E0T$戅A".5lX|.Q(kG2oգlV4I]<^OtnuX;9<->9?BkY+z{2ܝý7oƇ +JAnbk^LS\?U.ֲ&Eq(y%7j1/k"m/o5`Wb6Ev¹;nrH6wT9*N fG1vb5;0GjV'(΍Q &Ol?%ciJ=$`jORpØz@ԁF74N)S1/|>Ҏ<'#:vǎ Wŗ#eE)G2o>.PfqK8LZ>,> -HaXň[?Ym,FwcDn=vՕ8F^ELjq]b'϶#<@/}PNb3J@߆Wxl(>2fPy3D"u&{Ap(s$d~j*+Apcrp 'K25hd_Q)?aԋ|?P𓔨~R#;~si*c}$E~2=hٞx8zsgh?A߆Wx|AvO+'fdH:'(O̗ e'KgdPO[OS/dx'_gd~$VokJ-O֯h>^x~|W}I]*-Of*.9o6sic#/?Uxo"cEdv/5/2]}sY/k?tQ䛯?UWV0WWR b zljzuW?¿w}䜖C@WmW=_#?㫞GkӚ$K0LE%qܜvP9 7mg c|Y"2[U(Uͧ?vN>IFkJqUJ~Rm*'~[h~ϧJt|gW{L]cTJ) kב݆9wjgu |6\:s\/XFIAݠ6}boX?ML.R-j;S/bۃ˽@l}vʏ'wW j7z1 Yzh~}6\m#˵)\ f3BlPqSw0$]uA{쏫x˜Vɠ<;w}Q71R#'EK4H|&TR>_;LvԋIM/|f>s>=gRAws>3;ܿO>a0i>}WBԺ=4G3CD>c6|$>s_FQx;o}Qݽ.cE|2Wi(롢$cURvЩ[Üd4:?'h{J?T/uy9[32h2B*!d*w|^71VmSռ_#(񝩱"(!(qoVZ$c" ӍX+-yBetg=3-߂pVj:lo|V;uK,ǝJͿ ߊ@k&[oorHk:qDC+)<>ZQ:JJ?L'Rdu"=7K$ÏR]qP0/˃oW\UYU~H7U̯hw'>~_+U2 ww#~b|+K|Gwoe`Ma0OG|/bwƷO\8"G{zWeJ m D]QUWU`&Đ`R=c+0PԠT=/g}w>/Q=qjp;>+5Q]ŇUxߤ'%޲?!#pv8 8;^->,KJ?N'w/OFty[>CU?#]<8h?ˋ_7Q9WkРOTߏ(\͸p^54|-$h\>Xi9?̬`qffpGfZp_fRpflx̨eфQԚk'L N|ffY5k5|fIpSMKpKMkƅ?MלRsQxS{5kj, , /y9J͛k6l OI$ Sk 3aL"Tfkxfspe2,fWe. 3_L/͌у=߰:ŰSJuOݨ rtU ӂ~ٙY>a`t]a%lKpd5h̺pJV4F4=l̞(]]} ]. ɾ}3٭VhtF't]>yW~\z~r]0Ͼm"tRkGdbfК>Q5P[UpW:߬.,s$#?si~ER c=o"u+IB#'g[(=>Ͼ1Px`kHS{ =2ځOR&f3l >U% zxrp@L^5)[^NCD"jwV'>WCҾ~F CgeK=C0C7>Ё _f3R7{1Ó=`JգǑn~g5@~ii~XN6=F#w٘R}Q.Uzw"9w2:zw3"fqOt3B)Kbz OSEcQiP>V {1KMǔn^_ڧ?$fF#Yҗu_?@T.{?fNv>{lVnU [#wҵaw:TVkǮ&)`Y0%\^-Jb߾L[_` ᵤݝY"&x]~Uj\im9%y[NrjC>TK*$x#uW6u}!:?ؖA&=- KO V=*cՓ,P=+XQ}~Z>x% J+W jR l^~P8|p}ҰzY7e՛>dV'JDpXzswpP0^{pmi=^ڗXB<@u8Boto{;`ڢQqKK_"]_\>?XnK_ܔ+azIp[%#ܕv=Zi 7ӘiWJI_N(ݜ.tu\'t]>pjo砮޷M(ۜ <{l?yogQ_+%f-͋!Y b?{;P'){;QevR{;/Iv~EEv}R{oRv]{vTֈvF:{;|vX*(/l[-t~vvrcthp{b{KrV}Co_'o WǮ:٩ug؊ױu}Mݽg_na+)|D9[f3A$9"8Vs]"O^suwM[ S-yQb*J`x}͢Wh_CL]nR S s2$7ip'8F_Gkrd=i 2{^E,F\{Y>|Ȟןu <~}`氘{&jk1%?C߈\#wıU|gL7$īw~RCy}.y}/AjflG߈C߆WxkVkĄ_ |n6?}%j;Q4F4^d4= d(6wgW?ymso{Ok;\O"soO=a>/kjm`QN cAxwym:nW&DtwDsojwC"E<6N=.<g㜞z6;-dIo@C۹s*'}v4wO}6{,i}fOOƽǒ˓i:w_7VlOVߞ$-<;h~|,%#iM=ڊ03<P$[JM=U>Q]_f&+&OxHSb[S[C믷|gnO FݷםpƽR7V7VI'pyrՋd%JMfu#DJN2\T_aymxΘ/Eg|&ح\|'^MYyZG}_#W\Xď O艾O.}_Xrg`{^5 C|0J\kFVVl3>L~mC.ѱRl>lmD~+{FP RYl}ƊodM9^)ޏ寯W_gGrG SGd=URYw_JSzW^O ˾۽ .6}lT[u {?붵6~?&x.3k_SfIqs4SԘog2^$'o_cߓ0':ݗB x-/1} b܉Tץx_{Ɣdy^ ?+w>ǥǼ`{AkǍ[o6I{C}G¿o  mlvvG |ߡ=E8] :;՛!M}}>oo ]?|g;͡ˋ(9=82f,eϓ6Cz@(l ~~Ob~軳!7%,͂9J :u3czڛ +8%m$WUJQa3s*Ujmd/*̷rӷ8R7T_hN Us~S; jg\/N|^wR=g}o0RV%cē_a\<}7BӞtq/>_Ze#7^k W1>7]FGG8#1+"wusɁul8#;zΡU?.J)LK8:IefGX/ׅO; ('l;b<)q)Z4KoG./*]]' y%Rw1 2cRcGẒ|bau~]֕+5ZjeOm'|0왙t1^;Aj<+mfub-{wzuccܸ.߸Tn5?wfZS33|D߆Wx33O(.bMDfD{{OŞe8/ ]ק8c)o cc=-g7]wfW G ѿ ?SElF +Y*;J߆er1N3WDEs! :ǹ)'"aH?zAcVwT60s *>}Howzv5M̆5;ZeqB 8\T̏Yf3$ָzr0߀]f0<gzzD1xSzjk^ug|ĖlM  w4[gy;Αhm]faP/A0ʏ{޽K쩸7W[\"W)1h6=J͟m]_&*bmex.ݷ_BO-ZkڹoyATbWGӦ0n3·Uq47ߤJz?T8{镩ߤn^8)珕2˓dJA'f_3k+Se*N"K쪈VW$WW[R}^''1mR\˓oW-OTm2\i~(硪qVrJGlDzOr8~uU/kPPwOaMwofod)ew9~?*<)Ů[YnXn}63rP~Gs6 Wߑm?"7)SSSSSMޝ}f/}Jy\ &|{T6T_/W+QNS3Gtlrb6,}שXSSSh΀N)9_|M^L˚K]d$5J-#+CXE}{b4LX߷dft;mR~Q2̎c,Omj~Go wSӰf}r!1pO؟U>3DM9XMq{/8mΕ#%/k/gjXa{2*=pN _)Q .ջLl(~G}_}w\W臢2m?lF'zÞ~^/&i70 ȾU >fO>4̔nj)rUHOdQ﹩REb9Ny{;cR)L^Lfakx3 >rjfk-}\3 ',QX#~ k#-E:$X4F{b.S`CJ//5lvXO?U|5(^jjKR)=7Cj6n:{˭p;\u:]չ'ݳ>" 9<|dŮӆ KY'0bWs(Xy#UԸnS#7VdFFsokڡnFVTCJ޽&z#yKh$;㑟Gi/#"tNr+2N#2/jύOEgmIDj-*18LCc&O)6ڈ:vNJfVFxRF~Oa{ҏY_+G#r Q|ʑD VCe dwJa_'+c]+o׹VkrNejYq dWEHctnR"¸IMOؐ"t7uvl`+3og`Ga9>fC|7FV< ԵӖa?%rvO'7EuK}VEy7s-<} k'p9.?Co(үT;b+\l0}2zQmF]tbd|LƏrKo/mԷ6n#D>(D)m}qMdm88ЂƩ~Oi])î +eT6QVXqY֨}Yyaw`?ҶV뻷Z8 z&BHF؈:D8†~\ß6ƗI}ku ^yP^u]mZl JCy`}*`^عXVE|}1n_i&m0?kKik^/hoV/ٚ6Y]|,a:gic)>/ۚ0/NJ}Qˉ},‡Rا#kdu!~&)eLTf#cG2wwVeQ_&da}>>L'"]q`,,m 41 – ïîâûøåíèå ýôôåêòèâíîñòè óïðàâëåíèÿ ïðåäïðèÿòèåì â öåëîì è îòäåëüíû- ìè ïîäðàçäåëåíèÿìè ÎÀ ïóòåì àâòîìàòèçàöèè ðåøåíèÿ çàäà÷ ïëàíèðîâàíèÿ è ðåãóëèðîâàíèÿ äåÿòåëüíîñòè ïîäðàçäåëåíèé ÎÀ è ÎÀ â öåëîì.  ñîîòâåòñòâèè ñ ýòèìè öåëÿìè ìîæíî âûäåëèòü ñòðóêòóðó ÈÓÑ êàê íàáîð òèïîâûõ ýëåìåíòîâ, ïðåäñòàâëåííûõ íà ðèñóíêå. Набор компонентов ИУС Пользователь, объект автоматизации, внешний мир МПИ 1 МОИ 1 МПИ k МОИ k … МОДПР 1 МОДПР k Общесис- темная информа- ционная база Служеб- ные БД и БЗ СУБД Блок интерфейса Генера- торы МПИ и МОИ Блок управления модулями Блок организации взаимодействия модулей Система управления модулями ИУС Ñòðóêòóðíàÿ ñõåìà ÈÓÑ Íà ðèñóíêå ïðèíÿòû ñëåäóþùèå îáîçíà÷åíèÿ [4]: ÌÏÈ – ìîäóëè ïðèåìà èíôîðìàöèè, ïðåäñòàâëÿþùèå ñîáîé ñîâîêóïíîñòü ñòðóê- òóðèðîâàííûõ íåêèì îáðàçîì ïðåäñòàâëåíèé ÈÓÑ îá ÎÀ, ïîëüçîâàòåëå, âíåøíåì ìèðå. Ñ ïîìîùüþ ýòèõ ïðåäñòàâëåíèé ÈÓÑ ïîëó÷àåò èíôîðìàöèþ, íåîáõîäèìóþ äëÿ âûðàáîòêè, ïðèíÿòèÿ è ðåàëèçàöèè óïðàâëÿþùèõ âîçäåéñòâèé íà ÎÀ; ÌÎÈ – ìîäóëè îòîáðàæåíèÿ èíôîðìàöèè, ïðåäñòàâëÿþùèå ñîáîé ñîâîêóï- íîñòü ñòðóêòóðèðîâàííûõ íåêèì îáðàçîì ïðåäñòàâëåíèé ÈÓÑ îá ÎÀ è ïðåäëàãà- åìûõ ÈÓÑ âàðèàíòîâ óïðàâëÿþùèõ âîçäåéñòâèé íà ÎÀ. Ñ ïîìîùüþ ýòèõ ìîäå- ëåé îñóùåñòâëÿåòñÿ ïåðåäà÷à èíôîðìàöèè îò ÈÓÑ ê ïîëüçîâàòåëþ, íà ÎÀ èëè âî âíåøíèé ìèð; BxohUǿg׆sVcXp^ΚI\Lf^E-X#-  F!"HhLMЛX!v=}z |s<99ï@2[%-ᘑ@rT |k;Hǜʭo^^Li13]g6 nq5Ӏt0w\7.LY{M-Gm<CQ퓵i~-Fw$~cz>i=cznYU}.lN)W)f.+\=ͼJpBUauyy#r=:;9[ ]G65F'?p'<T!SCub)n#7tړ{aW[i>rZ udFNSK-z{Ѩ݂^ Yuqe-_7޿^R[KPz$n i+Oh*܌,(#w&נbXG zHZ>AsLj'iC>雑Ӭ7OLCU:t\jԃ?fSoa=*sk Նwhj5]1}лx~x7 } onKM[GA#d-7M'W^Ǹnc܂܁DѿB+W_ [Oxy!Ň[WvRS?U[s}دlTs{%W {E+.\{_> 3t3dg 9<:ShMicrosoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:22  @   30 8 (16 2 /s F 1 C {hx ̭WU'-v2[[Z(P'/fD2 H'cQ"Q!1'q&1f2aFc-|H4Mm^noom y}s[̄S{{}~s^axwǶ=}>pFS1 _ð5 mȹM fsv6XK5w3϶Ηa8sg{듇4>YW6Ny{WOyS[)+G]MzXwx}CyNdUZ<%)S!}89ķ^9{^>rTҁO3c]_ֿ cu4kX9;Dhy}OplPeŦq170%)Ŧyʙ{bC)ml>+}ĦRl*/JMWc8?GZD+7o>=8,3pt8075 ppl؟G܁_\P0P]}px0pw_.X? _Of Wؘog.OINA6plԶڀ'C_t%dr9/ܹ%|YjtkQ|޲.zʔs~}k"eW9n_v|X1HpzO|rtWF=c+ɗGɃF wG̩v+`/j'so]%dcS76XG9ub%P97gl"1p`kw/e+6u5UlYjw @V jn/)lr}i׵oV#Pgԯ˷nGeW|.)4|n8n:'s&u.?-G٘?Δ}-w*=yr1q9CH׺5T߶dkykگ׸\Q2*hs:yz.Oj'+Co޸ǯ =j:xLypG w`Ύpm[֌<Qy\~>\:7>39fe,t8}.>Ecg[s]Wۣ=L?Qm6qBYm+߹|p7&*|g̱̎cW>s/gğbW7: 2]nSl/4'FY?<dz(//4NͱzژzuT>aC7rFS{Wo ؀->hlb-~81gQkִ'eP=m/kKƘ-ƕuoZN'v+2>8'ط1W=6dxx$_G1F5Vlte蘝+9lwӱ~n=%ׄw6Yh&ȗ_O~|(sgx1g~ar}j]:}1Ѻ @8 j˽̙12nۤ97l=ysx<,oi- _?ڗiqͫVomkbs$BN9/urYq5q88bmšukVjo^+ >j[=!w\!>չQL'?{FOjSvMؔoO%#Okg<%@_]z,Q?7.xceu^x@iLٚr151]bЦݔyt>5gtvNGGtg?~~e1`S?1SܜoثMvS7|ڵmejSSïӞϷEKQ/_Txk>xIX_7=Oqh;7/iw>{w{”S< sӾ g֝d[ntm^[yK 2ўGpSynXglsP||[Ӻ; w jLg܋۴?goVڃ'2|)ȑ;$Tpts(|+v?:vY+3Б^=KWA|l5w;Cw շ ?3lK^tm4TV^_XspK/ lo_^Jw,eZ׫F#I敡靣 ˇG=^J+[u~)S,;rY_gmsGFp>\sCO~ h<<'brJ\DRiwMl6^S^5dz_)Ѧo EyZ f%x7^aƳWC3;lաMw˯$O'<3h#z>6v_>ڢg?_)ܕ{ۤmMd=Y&R/KM\[oŚ]z6Ut~ոaJ6xz_y 3f|ŵB+eC@YC>>snqڏ~HeOs"ճ.^y;sM->b%\u92EE75= }Nғ- muQkC> >}kOx~зco޷v tl:.|>m'9#ܚ<ߋ;g{Ux7τT2i:OBgWsqgJc xo7bQ6}ӲCA۟l1[:/zmXvjQ?:vhc4<д4Wts߿={cBaWBp݅wܾs9;Zr@oH'fi'p~p%~j繖9ܿMtȹoۖ{W׆l<+0kqn')Y/^r;.\$ |i%'|)d:?:"媿/ U}u>}BmwnL;{wJv^#Ѧl{OVW~r9.kS>s~M1뷄 ~{|Cvwo:cNr3ۿI_R>Z>7&:,~㓵~[c{އWs&=5m͓e?oJ~Sn{ۣ[? x8)noi*rFLߡ+k+ӻj_^:c"{-yޗ{i:)i])J9tޤ[,ǧߜ+m-;?rWC36ӎW$׍~C/l^ΜlY\i_G=탿}wNL{axNl.#ݤoy Rj yػ3t9On}>kN?vpƀ+a~>x*Ǻ4g 눝,iZGONdcMoOo8Ooː;%[緓ݾ%E͙/ߜ_*=㡋?Nc%xrmJ6P˯քy}WڹI8|b`NSZKFKYC?M{wh췌/~s''֝w"X.lCOpNOܣz^я۵|euo^Lg[ᛟicpnwKδN͗Uɪ3ߐLyg~=ҟߜLߟ8fl|;{ Xd_6e#q.-[gy(^_m y:yx=_7hj _禟9E.iU;||5yzArN޺$f1q̍n=;hӗö|mG}V7P? @֪-žׄ%ZސE_+KչqGun޸?<Ӡ3M:˙t(M9CUģqwUzmZ't}~ܸk)BmY~#lLs[wJع; n5 w~p{OonݶYAl2om6%^Pest7xW_wsU"}&z\f:V3gmM9Q\xN3Φxhֿܜ~}=ceooop-/t2O9˼ktfWeK϶򷿲9k7gcGN=>h>WݚsFh|è+}́Nr.]̕tIY<}Vft[xһi?oM;YNt}8)b2]u='Mv`hs3ƔvL~2 3'0/{|pӺ${؞гc=n-1{ϡx6jogutݠoy]3ϯǖlMSd S/[ nhnu>z\OCߖXA3y}|8{}Yc3E>41k|ats{v߳,88FAi<36G rk}ڔA 6僡~c9'n=H Mː'åi܀yʫ`kk]]g^[JctJt3_+hƽ8*8>ePD)|oi ?VgLσwhGa>E\{K^줟]بE\xuv\' [%Ƙ;9>6 /I\ϣh |65xȓc_uMmʸ }ݼư~r6 WFiL{;&Qr(&^F_1IY=Q7qڰgqoMO qckRtyw ߯j k녮6\>gƗ>l{@\\^84vTyt89 cvejW<. n}o ͪ]J#dr[ώT<35OC_9r=m/NKg'j^2A*A]E\X18=)aNΣ:'>2)_[s{,󩓬l:7}o?jMӻ\W=+uއjg-덍$Gs|JsiI ѧS| 柯B.ypZ3Q%\?T}qhlmrw"΅d^篒ȡV]z$Ӹ3t{ڄ~tgCmY{?qP;v4g)Kz'l^Ƿ :dz Vpy48wE`黋yA;g?G)cܴ5ȶ=J}j]h`Mu~e̟>sؤB[D龽>no~l~E`.t̴F7j>So̰W=os{ibn_ත)ؗ1]^&;˧?<?={6b'љmdf7jڮEhBT[Y bY=[a2ՍO!G#K'[wynmwi e-qΟR?[Y Iw^ ]1ON* n\}y/}| k|}up&_d9OrJI{AZM;g|7KMx2=\N;(= |ހ)s9_+g_zh 6;h?sٴm@'%=xO֎?Yc]U&6w kْMc]=~8dsqLmzkǴ:{4ٳb6QZ<ފ[ZV[I&`Gmם_'0)y?zǨLmuJWi?![x=ɬ|חw}i|&4odiE3/@=5~T{1u߆W'nN]Sl^{ ^%՝Ɩ;jCǗJ8ݾګ~Fo1D:Woy{{>Z|k|?}6@hu>;d?i5VabqIYᳮ]:?S_4]߱gmySo{3?KZM=}Hs_<$߰u,,%42 ÌÎÄÏÐ – ìîäóëè îáðàáîòêè äàííûõ è ïðèíÿòèÿ ðåøåíèé, ïðåäñòàâëÿþùèå ñîáîé ñîâîêóïíîñòü ñïîñîáîâ îáðàáîòêè äàííûõ, ïîëó÷àåìûõ èç ÌÏÈ, è ïðèíÿ- òèÿ óïðàâëåí÷åñêèõ ðåøåíèé. ÌÎÄÏÐ îáåñïå÷èâàåò îáðàáîòêó ïîñòóïàþùèõ äàííûõ è ðåàëèçàöèþ ýòàïîâ ïðèíÿòèÿ ðåøåíèé ïî óïðàâëåíèþ ÎÀ èëè åãî ïîäðàçäåëåíèÿìè. Íàçíà÷åíèå, ñòðóêòóðà è ñîäåðæàíèå îñòàëüíûõ áëîêîâ, ïðåäñòàâëåííûõ íà ðèñóíêå, ïîäðîáíî ðàññìîòðåíû â [4]. Ðåàëèçàöèÿ òåõíîëîãèè ñîçäàíèÿ ÈÓÑ, â îñíîâó êîòîðîé ïðåäïîëàãàåòñÿ ïîëîæèòü ãåííûé ïîäõîä, ÿâëÿåòñÿ î÷åíü ñëîæíîé ïðîáëåìîé. Îäíàêî ñóùåñòâó- þò îáëàñòè, â êîòîðûõ èññëåäîâàíèÿ â äàííîì íàïðàâëåíèè ìîãóò çà ñðàâíèòåëü- íî êîðîòêèé ñðîê ïðåäîñòàâèòü ïðèìåíèìûå íà ïðàêòèêå ðåçóëüòàòû. Òàê, ïóáëèêàöèè ïî äàííîìó íàïðàâëåíèþ ïîêàçûâàþò âîçìîæíîñòü ðàññìîòðåíèÿ áîëüøèõ ïðîãðàììíûõ êîìïëåêñîâ â âèäå ýâîëþöèîíèðóþùèõ (ðàçâèâàþùèõñÿ) ñèñòåì (ãåíåòè÷åñêèõ àëãîðèòìîâ), êîòîðûå ïîäñòðàèâàþòñÿ ïîä îñîáåííîñòè ÎÀ ïóòåì “ îñìûñëåíèÿ ” ïîòîêîâ èíôîðìàöèè îò ÎÀ [5, 6]. Èñïîëüçîâàíèå òàêîãî ïîäõîäà ãàðàíòèðóåò ðàáîòîñïîñîáíîñòü ïðîãðàììíûõ ñèñòåì äàæå â ñëó÷àå íåïîëíîòû çàëîæåííûõ â íèõ ìîäåëåé ÎÀ.  òî æå âðåìÿ ñëåäóåò ïîìíèòü, ÷òî èñïîëüçîâàíèå ëþáîé òåõíîëîãèè àâòîìàòèçàöèè òîëüêî íà îòäåëüíûõ ýòàïàõ ïðîåêòèðîâàíèÿ ñëîæíûõ ñèñòåì äàåò ëèøü íåçíà÷èòåëüíûé ýôôåêò. Ïîýòîìó ïðîáëåìà ðàçðàáîòêè ðàññìîòðåííîé âûøå òåõíîëîãèè ñîçäàíèÿ ÈÓÑ äëÿ âñåõ ýòàïîâ ïðîåêòèðîâàíèÿ ñèñòåì ÿâëÿåòñÿ âåñüìà ïåðñïåêòèâíîé îáëàñòüþ íàó÷íî- èññëåäîâàòåëüñêèõ è ïðàêòè÷åñêèõ ðàáîò. Ñïèñîê ëèòåðàòóðû: 1. Ïîêðîâñêèé Å., Àíîñîâ Ì. R/3 – èíòåãðèðîâàííàÿ ñèñòåìà óïðàâ- ëåíèÿ ïðåäïðèÿòèåì â ñðåäå “ êëèåíò – ñåðâåð ” // KM-inform. 1996. ¹ 7. Ñ. 18-21. 2. Âåíäðîâ À.Ì. CASE-òåõíîëîãèè. Ñîâðåìåííûå ìåòîäû è ñðåäñòâà ïðîåêòèðîâàíèÿ èíôîð- ìàöèîííûõ ñèñòåì. Ì.: Ôèíàíñû è ñòàòèñòèêà, 1998. 176 ñ. 3. Ãóäóøàóðè Ã.Â., Ëèòâàê Á.Ã. Óïðàâëåíèå ñîâðåìåííûìè ïðåäïðèÿòèåì. Ì.: Àññîöèàöèÿ àâòîðîâ è èçäàòåëåé “ Òàíäåì ” , Èçä-âî ÝÊÌÎÑ, 1998. 336 ñ. 4. Ëåâûêèí Â.Ì., Åâëàíîâ Ì.Â. Âëèÿíèå ïðèíöèïîâ ñàìîîðãà- íèçàöèè íà ïðîåêòèðîâàíèå èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì // Ïðîáëåìû áèîíè- êè. 2000. Âûï. 51. Ñ. 102-105. 5. Îáóõîâ Ë.È. Ýâîëþöèîíèðóþùèå àëãîðèòìû // Êîìïüþòå- ðû + Ïðîãðàììû. 1994. ¹ 5(13). Ñ. 4-9. 6. Íåéðîííûå ñåòè. STATISTICA Neural Networks. Ì.: Ãîðÿ÷àÿ ëèíèÿ – Òåëåêîì, 2000. 182 ñ. Ïîñòóïèëà â ðåäêîëëåãèþ 07.02.2001 Ëåâûêèí Âèêòîð Ìàêàðîâè÷, ä-ð òåõí. íàóê, ïðîôåññîð, äèðåêòîð èíñòèòóòà êîìïüþòåðíûõ è èíôîðìàöèîííûõ òåõíîëîãèé ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: âîïðîñû ïðîåêòèðîâàíèÿ ñëîæíûõ èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð.Ëåíèíà, 14, òåë. 40-94-51. Åâëàíîâ Ìàêñèì Âèêòîðîâè÷, êàíä. òåõí. íàóê, ñòàðøèé ïðåïîäàâàòåëü êàôåä- ðû èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ïðî- áëåìû èíòåëëåêòóàëèçàöèè ïðîåêòèðîâàíèÿ è ýêñïëóàòàöèè èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì. Àäðåñ: Óêðàèíà, 61005, Õàðüêîâ, ïë. Âîññòàíèÿ, 1, êâ. 122, òåë. 40-94-51. Ñêëÿðîâ Àëåêñàíäð ßêîâëåâè÷, êàíä. òåõí. íàóê, äîöåíò êàôåäðû èíôîðìàöè- îííûõ óïðàâëÿþùèõ ñèñòåì ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: òåîðèÿ è ïðàêòè÷åñ- êîå ïðèìåíåíèå ñèíåðãåòèêè â îáëàñòè âû÷èñëèòåëüíîé òåõíèêè è èíôîðìàöè- îííûõ ñèñòåì. 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ÁÅÐÅÆÍÀß ÊÎÄÈÐÎÂÀÍÈÅ ÑÎÑÒÎßÍÈÉ ÀÂÒÎÌÀÒÎÂ, ÐÅÀËÈÇÓÅÌÛÕ Â ÌÀÒÐÈ×ÍÛÕ ÑÒÐÓÊÒÓÐÀÕ Ïðåäëàãàåòñÿ è îïèñûâàåòñÿ ìåòîä êîäèðîâàíèÿ ñîñòîÿíèé àâòîìàòîâ, ðåàëèçóåìûõ íà ñîâðåìåííûõ ïðîãðàììèðóåìûõ ëîãè÷åñêèõ èíòåãðàëüíûõ ñõåìàõ (ÏËÈÑ) ñ ìàòðè÷íîé ñòðóêòóðîé òèïà ïðîãðàììèðóåìàÿ ìàòðè÷íàÿ ëîãèêà (ÏÌË) è FPGA (Field Programmable Gate Arrays). Ïðîöåäóðà íàõîæäå- íèÿ êîäîâ ñîñòîÿíèé àâòîìàòà îñíîâûâàåòñÿ íà èñïîëüçîâàíèè îáðàòíûõ òàáëèö ïåðåõîäîâ (ÎÒÏ) è àëãåáðû ðàçáèåíèé ìíîæåñòâ ïðè äâóõ îãðàíè÷èâàþùèõ êðèòåðèÿõ ðåàëèçàöèè ïîñëåäîâàòåëüíûõ ñõåì íà ÏËÈÑ: ýêîíîìè÷íîå è ïðî- òèâîãîíî÷íîå êîäèðîâàíèå ñîñòîÿíèé. 1. Ââåäåíèå Çàäà÷è ñèíòåçà ñõåì íà ÏÌË áûëè ñôîðìóëèðîâàíû è ðåøàëèñü ðÿäîì çàðóáåæíûõ è îòå÷åñòâåííûõ àâòîðîâ ïðèìåíèòåëüíî ê ðåàëèçàöèè ñõåì íà ïðîãðàììèðóåìûõ ëîãè÷åñêèõ ìàòðèöàõ [1-6]. Áûëè ðàçðàáîòàíû àëãîðèòìû ñèíòåçà, â êîòîðûõ èñïîëüçîâàëèñü èçâåñòíûå â òåîðèè áóëåâûõ ôóíêöèé ñèñòå- ìàòè÷åñêèå ïðîöåäóðû è ýâðèñòè÷åñêèå ïðèåìû äëÿ íàõîæäåíèÿ ÌÄÍÔ, ðåøå- íèÿ çàäà÷ ýêîíîìè÷íîãî è ïðîòèâîãîíî÷íîãî êîäèðîâàíèÿ.  [1] ðàçíîîáðàçíûå çàäà÷è ëîãè÷åñêîãî ïðîåêòèðîâàíèÿ äèñêðåòíûõ óñò- ðîéñòâ íà ÏÌË ôîðìèðóþòñÿ è ðåøàþòñÿ ñ èñïîëüçîâàíèåì ëîãè÷åñêèõ ìàòðè÷- íûõ óðàâíåíèé. Ðåøåíèå êîíêðåòíîé çàäà÷è ñèíòåçà ñâîäèòñÿ ïðè ýòîì ê íàõîæ- äåíèþ êîðíåé íåêîòîðîãî óðàâíåíèÿ, ãäå îäíè âåëè÷èíû ñ÷èòàþòñÿ çàäàííûìè, à äðóãèå òðåáóåòñÿ íàéòè. Àâòîðîì ïðåäëîæåí âàðèàíò ïðîòèâîãîíî÷íîãî êîäèðî- âàíèÿ ñîñòîÿíèé àâòîìàòà, êîòîðûé íå âñåãäà îáåñïå÷èâàåò ýêîíîìè÷íóþ ðåàëè- çàöèþ åãî íà ÏÌË.  ðàáîòå [2] ïðåäñòàâëåíû ìåòîäû ïðîåêòèðîâàíèÿ äèñêðåòíûõ óñòðîéñòâ íà îñíîâå ðàçëè÷íûõ ïðîãðàììèðóåìûõ ëîãè÷åñêèõ ÁÈÑ ñ ìàòðè÷íîé ñòðóêòóðîé.  íåé â îñíîâíîì îáîáùåíû ìåòîäû, èçâåñòíûå â ïðàêòèêå èíæåíåðíîãî ïðîåêòè- ðîâàíèÿ óïðàâëÿþùèõ ìèêðîïðîãðàììíûõ óñòðîéñòâ.  [3] îñíîâíûå ïðîöåäóðû àëãîðèòìîâ ñèíòåçà ñâåäåíû ê óïîðÿäî÷åíèþ ìíî- æåñòâà èíòåðâàëîâ (êîíúþíêöèé), íà êîòîðûõ çàäàíà ñèñòåìà ËÔ.  ýòîé îáëàñòè îïðåäåëåíèÿ îáëåã÷àåòñÿ âûáîð ïðîñòûõ èìïëèêàíò, êîòîðûå ïîêðûâàþò â êðàò- ÷àéøåé ôîðìå çàäàííóþ ñèñòåìó ËÔ.  àëãîðèòìàõ êîäèðîâàíèÿ âíóòðåííèõ ñîñòîÿíèé èñïîëüçóåòñÿ ìåòîä Òðåéñè, êîòîðûé õîòÿ è îáåñïå÷èâàåò ïðîòèâîãî- íî÷íîå êîäèðîâàíèå àâòîìàòà ñ íàèìåíüøèì ÷èñëîì ïåðåìåííûõ ñîñòîÿíèé, îäíàêî ñâÿçàí ñ òðóäîåìêèìè ïðîöåäóðàìè ïîèñêà äèõîòîìèé ïàð ñîñòîÿíèé, íàõîæäåíèåì ìíîæåñòâ ìàêñèìàëüíî ñîâìåñòèìûõ äèõîòîìèé è ðåøåíèåì çàäà- ÷è ïîêðûòèÿ, òðåáóþùåé áîëüøåãî îáúåìà âû÷èñëåíèé.  [3,5] ñèíòåç ñèíõðîííûõ ïîñëåäîâàòåëüíîñòíûõ ñõåì â òîì èëè èíîì âèäå ñâîäèòñÿ ê ðåøåíèþ çàäà÷è ýêîíîìè÷íîãî èëè ïðîòèâîãîíî÷íîãî êîäèðîâàíèÿ âíóòðåííèõ ñîñòîÿíèé àâòîìàòà.  ïðåäëîæåííîì àëãîðèòìå ñî÷åòàåòñÿ ïðèíöèï ïðîòèâîãîíî÷íîãî êîäèðîâà- íèÿ ñ ýêîíîìè÷íûì, ÷òî ïîçâîëÿåò ïîëó÷àòü ýêîíîìè÷íûå ðåàëèçàöèè íà ÏËÈÑ êàê ñèíõðîííûõ, òàê è àñèíõðîííûõ ïîñëåäîâàòåëüíîñòíûõ ñõåì. Àëãîðèòì ìîæåò èñïîëüçîâàòüñÿ â îäèíàêîâîé ñòåïåíè ïðè ðåàëèçàöèè äèñêðåòíûõ óñò- ðîéñòâ íà ñòàíäàðòíûõ ìèêðîñõåìàõ ÏÌË è äëÿ ñîêðàùåíèÿ ïëîùàäè êðèñòàëëà ïðè ðåàëèçàöèè óñòðîéñòâ íà ÏÌË è FPGA â ñîñòàâå ÁÈÑ è ÑÁÈÑ. 2. Îñíîâíûå ïîíÿòèÿ è îïðåäåëåíèÿ Ïîíÿòèÿ è îïðåäåëåíèÿ, èñïîëüçóåìûå â ðàáîòå, ñîâïàäàþò ñ ñîîòâåòñò- âóþùèìè ïîíÿòèÿìè è îïðåäåëåíèÿìè, ââåäåííûìè â ìîíîãðàôèÿõ [1-4].  &xhuǟn~nn& SvjEelbiXApSjd?Tj33##d@&)AYI rcsm^]_}ُ#?=x~>y>>,󀈔f/6"+AXn&1VQ?D<',[Imj<9r*bӕ҄:Y9vt +fubgkYѾc9 3+֛e\_ˆٳz_Hlx:>9/=?MwzSsϸ+SeL) f`OPN4n? d(t_=Zf#빐MK^r9z5-|^o_8b~}"fpFRoOr#x:ya1Ƚ䱔uOx7E}7fyp^B7\\W~{jf''V̓ۈ_ѴC?#b8߅fYB>Mj{^ ɹ|@%+ {! 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Êîíå÷íûé àâòîìàò ìîæåò áûòü ðåàëèçîâàí ïîñëåäîâàòåëüíîñòíîé ñõåìîé íà ÏËÈÑ (ðèñ.1), êîòîðàÿ ñîñòîèò èç äâóõ áëîêîâ: ëîãè÷åñêîãî ïðåîáðàçîâàòåëÿ (ËÏ) è áëîêà ïàìÿòè íà òðèããåðàõ D - òèïà. Íà âõîäû ËÏ ïîäàþòñÿ âõîäíûå ïå- ðåìåííûå õ 1 ,õ 2 ,…,õ m è âíóòðåííèå ïåðåìåííûå ñîñòîÿíèÿ àâòîìàòà z 1 (t), z 2 (t),…,z n (t), ãäå t – âðåìÿ. ËÏ ÿâëÿåòñÿ êîìáèíàöèîííûì áëîêîì, êîòîðûé âû÷èñëÿåò çíà÷å- íèå âûõîäíûõ ôóíêöèé y 1 ,y 2 ,…,y k è ïåðåìåííûõ ñîñòîÿíèÿ â ìîìåíò (t+1) – z 1 (t+1), z 2 (t+1),….z n (t+1). Òàêèì îáðàçîì, ñèìâîëû , A a   S s j  , W w   àâòîìàò- íîé ìîäåëè îïðåäåëÿþòñÿ â ñîîòâåòñòâèè ñ ðèñ.2, êàê âåêòîðû ñîñòîÿíèé ïåðå- ìåííûõ:  a  =(õ 1 ,õ 2 ,…..x m ), i s =(z 1 ,z 2 ,……z n ),  w =(y 1 ,y 2 ,….y k ). Логический преобразова- тель (ПЛМ) D 1 D 2 ) ( 1 t Z ) ( 2 t Z ) ( t Z n ) 1 ( 1  t Z ) 1 ( 2  t Z ) 1 (  t Z n D n Ðèñ.1. Ñòðóêòóðíàÿ ñõåìà ÏËÌ Ïðè ýòîì ÷èñëî âõîäíûõ è âûõîäíûõ ïåðåìåííûõ, à òàêæå ïåðåìåííûõ âíóòðåííèõ ñîñòîÿíèé àâòîìàòà îïðåäåëÿåòñÿ ðàâåíñòâàìè: m=[log 2 q], n= [log 2 n], k= [log 2 r], ãäå  – íàèìåíüøåå öåëîå, áîëüøåå èëè ðàâíîå õ Ðàçëè÷àþò ñèíõðîííûå è àñèíõðîííûå ÄÓ. Íà óðîâíå çàäàíèÿ êîíå÷íî- àâòîìàòíûõ ìîäåëåé íåò ñóùåñòâåííîãî ðàçëè÷èÿ ìåæäó îïèñàíèÿìè ýòîãî òèïà óñòðîéñòâ. Ïðè çàäàíèè àñèíõðîííûõ àâòîìàòîâ ââîäÿòñÿ ëèøü äîïîëíèòåëüíûå îãðàíè÷åíèÿ, êîòîðûå íà àâòîìàòíîì óðîâíå çàäàíèÿ ïîçâîëÿþò ó÷åñòü îñîáåííî- ñòè ôóíêöèîíèðîâàíèÿ àñèíõðîííûõ óñòðîéñòâ. Êðèòè÷åñêèå ñîñòÿçàíèÿ â àñèí- õðîííîì àâòîìàòå óñòðàíÿþòñÿ ñ ïîìîùüþ ñïåöèàëüíîãî êîäèðîâàíèÿ âíóòðåí- íèõ ñîñòîÿíèé, êîòîðîå íàçûâàþò ïðîòèâîãîíî÷íûì [1-4].  [4] ñôîðìóëèðîâàíî íåîáõîäèìîå è äîñòàòî÷íîå óñëîâèå ñóùåñòâîâàíèÿ êðèòè÷åñêèõ ñîñòÿçàíèé â àñèíõðîííîì àâòîìàòå. Ñóùåñòâóåò ìíîæåñòâî âàðèàíòîâ êîäèðîâàíèÿ ñîñòîÿíèé àñèíõðîííîãî àâòî- ìàòà, êàæäûé èç êîòîðûõ óäîâëåòâîðÿåò íåîáõîäèìûì è äîñòàòî÷íûì óñëîâèÿì èñêëþ÷åíèÿ êðèòè÷åñêèõ ñîñòÿçàíèé. Îïòèìàëüíûìè ñ÷èòàþòñÿ òå êîäû, â êîòî- ðûõ èñïîëüçóåòñÿ ìèíèìàëüíîå ÷èñëî ïåðåìåííûõ ñîñòîÿíèé, ò.å. ïðîòèâîãîíî÷- íûå êîäû ìèíèìàëüíîé äëèíû. Òî÷íîå ðåøåíèå çàäà÷è ïðîòèâîãîíî÷íîãî êîäèðî- âàíèÿ ñ ìèíèìèçàöèåé äëèíû êîäà óäàåòñÿ íàéòè äëÿ àâòîìàòîâ, èìåþùèõ òàáëèöó ïåðåõîäîà-âûõîäîâ (ÒÏÂ) íåáîëüøèõ ðàçìåðîâ [2]. Ìíîãèå çàäà÷è òåîðèè àâòîìàòîâ ( ïðîòèâîãîíî÷íîå êîäèðîâàíèå, äåêîìïîçèöèÿ àâòîìàòîâ, ìèíèìèçàöèÿ ÷èñëà ñîñòîÿíèé è äðóãèå) óñïåøíî ðåøàþòñÿ ïóòåì àíàëèçà ðàçáèåíèé ñîñòîÿíèÿ àâòîìàòà. T'x lTUkKS;v:2mVb 4@@bhbE .@[XQ$j0T(q UD[ 1F%X \3.N5&.y/{{yw^3AD D.`jȣYF1W,U#^El *G9Gg:" U9d96ɑ-l]~H H3քd*M uޙ%ߡq5 tPg O+CjS~Wo)wOYne{& ;$H~%M? 6?[.3HJcrr({$ ig` 30qR<\GP:Cdҵ ʊY] . 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IY7Rުppr-NN;_&q.#o9z07=`h$v'o'kJ#}C0!be蕐uz>}3dtg`R-z@A)6Lǚ>erзQlЄ{ >u$.~±Gw7I-P*{vҐW v6x 2L\j|=wncޒk%*JJ@O{HABuywad=Co!]:F5~Uf~c_tvlSS{dWUݩc5>xL{4Η?k˟{ z,1VS듥WwH)[={:w5~ɭ_P{uJ*{}׻2g}}쭙UCMFlz_߮ tWHoldg` z5FخJKuX_a=Hۡqn谷"֡3wu֡|a[K7yD+u)zC^\f:Ssn@E7u<ƝNau9;ö8C!έv(smITL7 7a C|AveG/mtō15FQ;+}|2'WÝ)/ {O~[ kr{*"Y|pq,,45 Èçâåñòíî, ÷òî ðåàëèçàöèÿ ïîñëåäîâàòåëüíîñòíîé ñõåìû íà ÏËÌ ñ èñ- ïîëüçîâàíèåì ìèíèìàëüíîãî ÷èñëà Ð - òåðìîâ äîñòèãàåòñÿ ïóòåì òàê íàçûâàåìî- ãî ýêîíîìè÷íîãî êîäèðîâàíèÿ ñîñòîÿíèé àâòîìàòíîé ìîäåëè ÄÓ. Îñíîâíîå ïðàâè- ëî ýêîíîìè÷íîãî êîäèðîâàíèÿ ñîñòîÿíèé çàêëþ÷àåòñÿ â ñëåäóþùåì: ñîñòîÿíèÿ, êîòîðûå äëÿ äàííîãî âõîäíîãî ñèìâîëà èìåþò îäíî è òî æå ïîñëåäóþùåå ñîñòîÿíèå, äîëæíû áûòü çàêîäèðîâàíû êîäàìè ìèíèìàëüíîé äëèíû, îáåñïå÷èâà- þùèå êðàò÷àéøóþ ÄÍÔ äëÿ ôóíêöèé ïåðåõîäîâ àâòîìàòà [3]. Äëÿ ðåøåíèÿ ýòîé çàäà÷è ïðåäëàãàåòñÿ èñïîëüçîâàòü îáðàòíóþ òàáëèöó ïåðå- õîäîâ àâòîìàòà. Äëÿ àâòîìàòà ) , , , , (   W S A M â êëåòêàõ ÎÒÏ äëÿ êàæäîãî âõîäíîãî ñèìâîëà a i è ñîñòîÿíèÿ s j â ìîìåíò âðåìåíè (t+1) ðàçìåùàåòñÿ ïîäìíî- æåñòâî ïðåäøåñòâóþùèõ ñîñòîÿíèé ) ( ) ( t s t s   , èç êîòîðûõ àâòîìàò ïåðåõîäèò â ñîñòîÿíèå ) 1 (  t s j , ò.å. îïðåäåëÿåòñÿ ìíîæåñòâî îáðàòíûõ îòîáðàæåíèé ) ( ) 1 ( t S A t S A       . Íà ýòàïå êîäèðîâàíèÿ âíóòðåííèõ ñîñòîÿíèé àâòîìàòà ðåøàþòñÿ ñëåäóþùèå çàäà÷è: 1) âûáîð íàèìåíüøåãî ÷èñëà ïåðåìåííûõ ñîñòîÿíèé è ñïîñîáà êîäèðîâàíèÿ ýòèìè ïåðåìåííûìè âíóòðåííèõ ñîñòîÿíèé, îáåñïå÷èâàþùåãî ìèíèìèçàöèþ ÷èñ- ëà ïðîìåæóòî÷íûõ øèí ÏÌË (Ð-òåðìîâ) – ýêîíîìè÷íîå êîäèðîâàíèå; 2) åñëè àâòîìàò àñèíõðîííûé, òî êîäèðîâàíèå ñîñòîÿíèé äîëæíî áûòü ïðîòè- âîãîíî÷íûì, ò.å. èñêëþ÷àòü êðèòè÷åñêèå ñîñòÿçàíèÿ ìåæäó ïåðåìåííûìè ñîñòîÿ- íèÿìè.  ðàáîòå ïðåäëîæåí ìåòîä êîäèðîâàíèÿ ñîñòîÿíèé àâòîìàòà, êîòîðûé ñî÷åòà- åò óñëîâèÿ ýêîíîìè÷íîãî è ïðîòèâîãîíî÷íîãî êîäèðîâàíèÿ è, òàêèì îáðàçîì, ïðèìåíèì â îäèíàêîâîé ìåðå ïðè ðåàëèçàöèè êàê ñèíõðîííûõ, òàê è àñèíõðîí- íûõ ïîñëåäîâàòåëüíîñòíûõ ñõåì. Äëÿ îïèñàíèÿ àëãîðèòìà êîäèðîâàíèÿ ââåäåì ðÿä îïðåäåëåíèé è ïîíÿòèé, êîòîðûå ñîâïàäàþò ñ ñîîòâåòñòâóþùèìè ïîíÿòèÿìè â [4]. Îïðåäåëåíèå 1. Ïóñòü U è V – äâà ðàçëè÷íûõ ïîäìíîæåñòâà ñîñòîÿíèé àâòîìàòà, êîòîðûìè îòìå÷åíû äâå êëåòêè ÎÒÏ îäíîãî è òîãî æå âõîäíîãî ñèãíàëà. Íåóïîðÿäî÷åííóþ ïàðó (U,V) íàçûâàþò äèõîòîìèåé.  ñîîòâåòñòâèè ñ îïðåäåëåíèåì 1, äèõîòîìèÿ ïðåäñòàâëÿåò ñîáîé ðàçáèåíèå R ñîñòîÿíèé àâòîìàòà íà äâà áëîêà U è V, êîòîðûå íå îáÿçàòåëüíî âêëþ÷àþò âñå ñîñòîÿíèÿ àâòîìàòà. Îïðåäåëåíèå 2. Ãîâîðÿò, ÷òî ïåðåìåííàÿ ñîñòîÿíèÿ z i ïîêðûâàåò äèõîòîìèþ (U,V), åñëè z i = 0 äëÿ êàæäîãî ñîñòîÿíèÿ U s   è z i =1 äëÿ êàæäîãî ñîñòîÿíèÿ V s   (èëè íàîáîðîò). Îïðåäåëåíèå 3. Ïóñòü äëÿ íåêîòîðîãî ñòîëáöà ÎÒÏ ñóùåñòâóåò ïàðà äèõîòî- ìèé   V U   , è   V U , . Òîãäà åñëè U U   è V V   , òî ãîâîðÿò, ÷òî äèõîòîìèÿ   V U   , ïîêðûâàåò äèõîòîìèþ   V U , . Êàæäîé äèõîòîìèè   V U , ìîæíî ïîñòàâèòü â ñîîòâåòñòâèå óïîðÿäî÷åííóþ ïàðó äèõîòîìèé   V U ,  è   V U  , . Äèõîòîìèþ   V U   , íàçûâàþò èíâåðñíîé äèõî- òîìèè   V U , è îáîçíà÷àþò   V U , = ‘ ) , ( V U . Îïðåäåëåíèå 4. Äâå óïîðÿäî÷åííûõ äèõîòîìèè   V U   , è   V U , íàçûâàþò ñî- âìåñòèìûìè, åñëè âûïîëíÿåòñÿ 0   V U  è 0   U V  . Îïðåäåëåíèå 5. Ìíîæåñòâî óïîðÿäî÷åííûõ äèõîòîìèé ÿâëÿåòñÿ ñîâìåñòèìûì, åñëè è òîëüêî åñëè âñå äèõîòîìèè ýòîãî ìíîæåñòâà ÿâëÿþòñÿ ïîïàðíî ñîâìåñòè- ìûìè. Îïðåäåëåíèå 6. 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Àëãîðèòì íàõîæäåíèÿ êîäîâ ñîñòîÿíèé àâòîìàòà Íèæå ïðåäñòàâëåí àëãîðèòì íàõîæ- äåíèÿ êîäîâ ñîñòîÿíèé, îáåñïå÷èâàþùèõ ýêîíîìè÷íóþ è ïðîòèâîãîíî÷íóþ ðåàëè- çàöèþ ñèíõðîííûõ è àñèíõðîííûõ ïî- ñëåäîâàòåëüíîñòíûõ ñõåì íà ÏËÈÑ.  êà÷åñòâå ïðèìåðà áóäåì èñïîëüçîâàòü àâòîìàòíóþ ìîäåëü, çàäàííóþ òàáë. 2 ïåðåõîäîâ âûõîäîâ (ÒÏÂ) àâòîìàòà (ïðè- ìåð âçÿò èç [1]). Äëÿ ýòîãî àâòîìàòà îáðàòíàÿ òàáëèöà ïåðå- õîäîâ ïðåäñòàâëåíà òàáë. 2. Àëãîðèòì 1. Øàã 1. Ïî çàäàííîé ÒÏ àâòîìàòà ïîñòðîèòü îáðàòíóþ òàáëèöó ïåðå- õîäîâ (òàáë.2). Øàã 2. Äëÿ êàæäîãî ñòîëáöà ÎÒÏ ñôîðìèðî- âàòü ìíîæåñòâî äèõîòî- ìèé äëÿ êàæäîé ïàðû êëåòîê ÎÒÏ, íå îòìå÷åííûõ ïóñòûì ìíîæåñòâîì. Íà ðèñ.2 ìíîæåñòâî äèõîòîìèé äëÿ êàæäîãî ñòîëáöà à i òàáë. 2 ïðåäñòàâëåíî â âèäå ìíîæåñòâà äâóõáëîêîâûõ ðàçáèåíèé ñîñòîÿíèé àâòîìàòà. Øàã 3. Èñêëþ÷èòü äèõîòîìèè, êîòîðûå ïîêðûâàþòñÿ äðóãèìè äèõîòîìèÿìè.  ïðèìåðå ðàçáèåíèå R 4  R 5 , ñëåäîâàòåëüíî, ðàçáèåíèå R 5 èñêëþ÷àåòñÿ. Øàã 4. Íàéòè ìíîæåñòâî ïàð ñîâìåñòèìûõ äèõîòîìèé. Âûïîëíåíèå ýòîãî øàãà èëëþñòðèðóåòñÿ ðèñ. 3. Êîäû äâóõ áëîêîâûõ ðàçáèåíèé ñîñòîÿíèé àâòîìàòà – äèõîòîìèé ïðåäñòàâëå- íû òàáëèöåé íà ðèñ.3,à. Ñîñòîÿíèÿ, íå âõîäÿùèå â äèõîòîìèþ, â ñîîòâåòñòâóþ- ùåì ýòîé äèõîòîìèè ðàçáèåíèè r i îòìå÷åíû ÷åðòî÷êîé, ÷òî ïîçâîëÿåò äîîïðåäå- ëÿòü ýòè ñîñòîÿíèÿ 1 èëè 0 ïðè ïðîâåðêå ñîâìåñòèìîñòè ïàð ðàçáèåíèé. Êîäû äâóõ ðàçáèåíèé r i è r j ñîâìåñòèìû, åñëè îíè ñîâïàäàþò âî âñåõ ðàçäåëàõ, îïðåäåëåííûõ 0 èëè1. Åñëè â ðåçóëüòàòå ïðîâåðêè íà ñîâìåñòèìîñòü îêàæåòñÿ, ÷òî ïàðà ðàçáèåíèé r i è r j íå ñîâìåñòèìà, òî ïðîâåðÿåòñÿ íà ñîâìåñòèìîñòü ïàðà (r i , r j ), ãäå ðàçáèåíèå r j ÿâëÿåòñÿ èíâåðñèåé ðàçáèåíèÿ r j . Øàã 5. Íàéòè ìíîæåñòâî ìàêñèìàëüíî ñîâìåñòèìûõ äèõîòîìèé. Íà ýòîì øàãå îñóùåñòâëÿåòñÿ àíàëèç ïàð ñîâìåñòèìûõ äèõîòîìèé ïî ñëåäóþ- ùåìó ïðàâèëó: åñëè ) , ( i R R  , ) , ( j R R  – ïàðû ñîâìåñòèìûõ äèõîòîìèé è ñîâìå- ñòèìóþ ïàðó îáðàçóþò äèõîòîìèè ) , ( j i R R , òî ) , , ( j i R R R  ÿâëÿþòñÿ òàêæå ìíîæåñòâîì ñîâìåñòèìûõ äèõîòîìèé. Ýòà ïðîöåäóðà ïîâòîðÿåòñÿ äî òåõ ïîð, ïîêà ìíîæåñòâî ñîâìåñòèìûõ äèõîòîìèé íåëüçÿ ðàñøèðèòü äîïîëíèòåëüíî íè îäíîé äèõîòîìèåé. A   1  t S ,   t  S(t) a 1 a 2 a 3 a 4 a 5 s 1 s 1 ,w 2 s 5 ,w 1 s 1 ,w 2 s 5 ,w 4 s 2 ,w 1 s 2 s 2 ,w 3 s 6 ,w 4 s 2 ,w 2 ---- s 2 ,w 1 s 3 s 1 ,w 2 ------ s 4 ,w 4 s 3 ,w 2 ---- s 4 s 2 ,w 3 s 5 ,w 1 s 4 ,w 4 ----- s 6 ,w 3 s 5 s 2 ,w 3 s 5, w 1 s 1 ,w 3 s 5 ,w 4 ----- s 6 s 7 ,w 1 s 6 ,w 4 s 2 ,w 2 s 3 ,w 2 s 6 ,w 3 s 7 s 7 ,w 1 s 5 ,w 1 ------ s 3 ,w 2 s 6 ,w 3 Òàáëèöà 1 A S(t) S(t+1) a 1 a 2 a 3 a 4 a 5 s 1 (s 1 ,s 3 )  (s 1 ,s 5 )   s 2 (s 2 ,s 4 ,s 5 )  (s 2 ,s 6 ) --- (s 1 ,s 2 ) s 3  --- (s 3 ,s 6 ,s 7 ) --- s 4   (s 3 ,s 4 ) -----  s 5  (s 1 ,s 4 ,s 5 ,s 7 )  (s 1 ,s 5 ) --- s 6  (s 2 ,s 6 )   (s 4 ,s 6 ,s 7 ) s 7 (s 6 ,s 7 )  ---   Òàáëèöà 2 Pèñ. 2. 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Ïðè âûïîëíåíèè ýòîãî øàãà ñëåäóåò ó÷èòûâàòü, ÷òî åñëè ïàðà äèõîòîìèé ( j i R R , ) ñîâìåñòèìà, òî ïàðà ( j i R R , ) òàêæå ñîâìåñòèìà. Øàã 6. Íàéòè êðàò÷àéøåå ìíîæåñòâî ìàêñèìàëüíî ñîâìåñòèìûõ äèõîòîìèé, ïîëó÷åííûõ íà øàãå 3. Ýòîò øàã âûïîëíÿåòñÿ ïóòåì ðåøåíèÿ èçâåñòíîé çàäà÷è ïîêðûòèÿ ìíîæåñòâ àíàëîãè÷íî òîé, êîòîðàÿ ðåøàåòñÿ ïðè âûáîðå êðàò÷àéøåãî ìíîæåñòâà ïðîñòûõ èìïëèêàíò, ïîêðûâàþùèõ ïî îïðåäåëåííîìó ïðàâèëó âñå ìèíòåðìû èñõîäíîé ëîãè÷åñêîé ôóíêöèè [1,2,4]. Îäèí èç âàðèàíòîâ ðåøåíèÿ ýòîé çàäà÷è ñâîäèòñÿ ê ðåøåíèþ ñèñòåì áóëåâûõ óðàâíåíèé. Äëÿ ðàññìàòðèâàåìîãî ïðèìåðà ìíîæåñòâî ìàêñèìàëüíî ñîâìåñòè- ìûõ äèõîòîìèé, íàéäåííîå íà øàãå 5, ïîçâîëÿåò ñîñòàâèòü ñëåäóþùóþ ñèñòåìó áóëåâûõ óðàâíåíèé: R 1 : С 1 + С 2 =1 R 2 : С 1 + С 3 + С 4 +С 5 = 1 R 3 : С 2 + С 3 + С 6 = 1 R 4 : С 7 = 1 R 6 : С 8 + С 9 = 1 R 7 : С 4 + С 7 +С 8 = 1 R 8 : С 6 + С 9 = 1 R 9 : С 5 + С 9 = 1 Ðåøåíèå ýòîé ñèñòåìû óäîâëåòâîðÿþò ñëåäóþùèå ïîäìíîæåñòâà ìàêñèìàëü- íî ñîâìåñòèìûõ äèõîòîìèé, êîòîðûå îäíîâðåìåííî ÿâëÿþòñÿ êðàò÷àéøèìè: (Ñ 7 ,Ñ 9 ,Ñ 1 ,Ñ 2 ), (Ñ 7 ,Ñ 9 ,Ñ 1 ,Ñ 3 ), (Ñ 7 ,Ñ 9 ,Ñ 1 ,Ñ 6 ), (Ñ 7 ,Ñ 9 ,Ñ 2 ,Ñ 3 ) è äð. Øàã 7. Âûáðàâ îäíî èç êðàò÷àéøèõ ïîêðûòèé ìíîæåñòâà äèõîòîìèé, ïîñòà- âèòü â ñîîòâåòñòâèå êàæäîé ìàêñèìàëüíî ñîâìåñòèìîé äèõîòîìèè, âõîäÿùåé â ýòî êðàò÷àéøåå ìíîæåñòâî, ïåðåìåííóþ ñîñòîÿíèÿ z i , ëîãè÷åñêèå çíà÷åíèÿ êîòîðîé ñîîòâåòñòâóþò êîäàì äâóõáëî÷íûõ ðàçáèåíèé. Äëÿ ÌÑÌÄ (Ñ 7 ,Ñ 9 ,Ñ 1 ,Ñ 2 ) ñ ó÷åòîì êîäîâ äâóõáëî÷íûõ ðàçáèåíèé ðèñ.3,à ïîëó- ÷àåì ñëåäóþùèé âàðèàíò ïðîòèâîãîíî÷íîãî êîäèðîâàíèÿ ñîñòîÿíèé àâòîìàòà: МСМД Переменные состояния s 1 s 2 s 3 s 4 s 5 s 6 s 7 c 7 z 1  1    1  c 9 z 2   1 1  1 1 c 1 z 3  1  1 1 1 1 c 3 z 4      1 1 à s 1 s 2 s 3 s 4 s 5 s 6 s 7 R 1  1  1 1 - - (R 1 ,R 2 ) ( 3 1 , R R ) R 2  -  - - 1 1 (R 2 ,R 3 ) ( 7 2 , R R ) (R 2 ,R 9 ) R 3 -  -   1 1 ( 8 3 , R R ) R 4  1 -   1  ( 7 4 , R R ) R 6  - 1 1  - - (R 6 ,R 7 )( 8 6 , R R )(R 6 ,R 9 ) R 7 -  1 1 -  - (R 8 ,R 9 ) R 8 1 -  - 1   R 9   - 1 - 1 1 á Ðèñ. 3. 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PφҕdocsqzOBEyo`9;;N#|TJx̼3.;xY{$=oJa i`Y@2> ԳL Kh"?\)U=Y8]]_W~Nwt"{R @0f /#x@5cxb8iF|7뚿 q.cn!v'k\*ep _Le{d'Ϝ/]G;,mm:%D_ i ")~ƾSDNNmY6NOI[0y,KpO ]"?EhNmvJmC 3"=#vnzv<GNkz_7_6у փU=λIr̸7\?fvhj*/F^G}+u Jlw V7ټGsYŒC𸷉OjTCENqg-qdVV\9'l#|`=Y :e).,GPNĖ1>PNH8RR8.t{Nesݦ7A!];9Y=k牂 fCH~m{:9'o 7"q7 اzjeu}bI i>#O1[xJ0߁[ZiAhF2smzU704miCO1cc܏#-KuL91#,,:50 1. 1 P – ïðèíöèï ïîâíîòè; 2. 2 P – ïðèíöèï â³äñóòíîñò³ ñóïåðïîçèö³¿ ï³äö³ëåé; 3. 3 P – ïðèíöèï ñê³í÷åííîñò³ äåêîìïîçèö³¿. Ïðèíöèï 1 P âêàçóº íà òå, ùî äîñÿãíåííÿ âñ³º¿ ñóêóïíîñò³ ï³äö³ëåé, ÿê³ âèíèêàþòü ïðè äåêîìïîçèö³¿, ïîâèííå áóòè óìîâîþ äëÿ ðåàë³çàö³¿ äåêîìïîçîâà- íî¿ ìåòè. Ïðîáëåìîþ º òå, ùî êðèòå𳿠äîñÿãíåííÿ ò³º¿ ÷è ³íøî¿ ö³ë³ çíà÷íîþ ì³ðîþ º ñóá ’ ºêòèâí³ ³ ìàþòü òåíäåíö³þ äî çíà÷íèõ çì³í ç ÷àñîì. Äëÿ äîòðèìàííÿ ïðèíöèïó 2 P íåîáõ³äíî ïðàãíóòè, ùîá ïðè äåêîìïîçèö³¿ ï³äö³ë³ îäíîãî ð³âíÿ áóëè â³äíîñíî íåçàëåæí³. Äåêîìïîçîâàíà ö³ëü ïîâèííà áóòè àäèòèâíîþ ñóìîþ ï³äö³ëåé. ßêùî òàêà óìîâà âèêîíóâàòèìåòüñÿ äëÿ âñ³õ ö³ëåé ãðàôà, òî â³í áóäå äåðåâîì, â ³íøîìó âèïàäêó ³ñíóº çàäà÷à ðîçä³ëåííÿ àáî îá ’ ºäíàííÿ ö³ëåé. Äëÿ ñòâîðåííÿ ïåðåäóìîâ òàêèõ îïåðàö³é íà ìíîæèí³ ö³ëåé ãðàôà ìîæëèâî ñêîðèñòàòèñü ïîíÿòòÿì áëèçüêîñò³ ö³ëåé. Äëÿ ôîðìóâàííÿ ñòðóê- òóðè äåðåâà ö³ëåé ¿õ áëèçüê³ñòü õàðàêòåðèçóºòüñÿ â³äñòàííþ ì³æ ö³ëÿìè r . Âèçíà÷èìî â³äñòàíü ì³æ ö³ëÿìè 1 Z òà 2 Z ÿê j i 2 1 n n 1 ) Z , Z ( r   , (2) äå i n – ÷èñëî åëåìåíò³â íà ïåðåòèí³ ìíîæèíè ïðîì³æíèõ ö³ëåé ì³æ 1 Z òà 2 Z , à j n – ÷èñëî åëåìåíò³â â ¿õ îá ’ ºäíàíí³. Àãðåãàö³ÿ ö³ëåé ïðîâîäèòüñÿ, ÿêùî â³äñòàíü ì³æ íèìè º ìàëîþ (çâ ’ ÿçîê íåçíà÷íèé), à äèñêðåòèçàö³ÿ – òîä³, êîëè â³äñòàíü âåëèêà (çâ ’ ÿçîê çíà÷íèé). Çã³äíî ç ïðèíöèïîì 3 P äåêîìïîçèö³ÿ ïðèïèíÿºòüñÿ ïðè äîñÿãíåíí³ åëåìåíòàð- íîãî ð³âíÿ. гâåíü º åëåìåíòàðíèì, ÿêùî ôîðìóëþâàííÿ ö³ëåé íà íüîìó äîçâîëÿº ôàõ³âöÿì äîñòàòíüî¿ êîìïåòåíö³¿ ðîçïî÷àòè 䳿 ïî äîñÿãíåííþ ïîñòàâëåíèõ ö³ëåé áåç ïîäàëüøèõ ïîÿñíåíü. 3. Àñïåêòè ³íôîðìàö³éíî¿ ìîäåë³ Ãëîáàëüíà ö³ëü ÂÍÇ, ÿê ³ áóäü-ÿêî¿ ³íøî¿ ñêëàäíî¿ ñèñòåìè, çíàõîäèòüñÿ ïîçà ñôåðîþ ¿¿ ä³ÿëüíîñò³ ³ âèçíà÷àºòüñÿ ñèñòåìîþ á³ëüø âèñîêîãî ð³âíÿ îðãàí³çàö³¿. Âîíà âèçíà÷åíà íà îñíîâ³ äèðåêòèâíèõ äîêóìåíò³â ³ ÿê ôîðìóëþºòüñÿ ÿê ï³äãî- òîâêà ôàõ³âö³â ç âèùîþ îñâ³òîþ, íàóêîâî-ïåäàãîã³÷íèõ êàäð³â ³ åôåêòèâíå âèêî- ðèñòàííÿ íàóêîâî-âèðîáíè÷îãî ³ çàãàëüíîêóëüòóðíîãî ïîòåíö³àëó ÂÍÇ äëÿ çàäî- âîëåííÿ ñîö³àëüíî-åêîíîì³÷íèõ ïîòðåá íàðîäíîãî ãîñïîäàðñòâà. Íà ï³äñòàâ³ àíàë³çó ñïåöèô³êè ôóíêö³îíóâàííÿ ÂÍÇ éîãî â³äíîñÿòü äî êëàñó âåëèêèõ ³ ñêëàäíèõ ñèñòåì. Ðàçîì ç òèì, â³í ìຠðÿä îñîáëèâîñòåé [1]: 1. Äîì³íóþ÷å çíà÷åííÿ “ ëþäñüêîãî ôàêòîðà ” ñïðèÿº çá³ëüøåííþ àäàïòèâíîñò³ ñèñòåìè ³ ï³äâèùóº ¿¿ ñò³éê³ñòü, àëå â òîé æå ÷àñ º äæåðåëîì óñ³ëÿêèõ âèïàäêîâî- ñòåé. 2. Ïåðåâàãà ³íôîðìàö³éíèõ ïðîöåñ³â, ÿêèì âëàñòèâà ñêëàäíà, ÷àñòî ñòîõàñòè÷- íà çàëåæí³ñòü ì³æ ðåçóëüòàòàìè ïðàö³ ³ âèêîðèñòàíèìè ðåñóðñàìè. 3. Áàãàòîïëàíîâ³ñòü ïðîöåñ³â ôóíêö³îíóâàííÿ ÂÍÇ ³ ¿õíÿ çàëåæí³ñòü â³ä âåëèêî¿ ê³ëüêîñò³ ôàêòîð³â, ÿê ê³ëüê³ñíèõ, òàê ³ ÿê³ñíèõ. Äàíà áàãàòîïëàíîâ³ñòü ³ áàãàòîì³ðí³ñòü º íàñë³äêîì êîìïëåêñíîãî õàðàêòåðó ä³ÿëüíîñò³ ÂÍÇ. 4. Âïëèâ íà ä³ÿëüí³ñòü ÂÍÇ ôàêòîðíèõ çì³í çîâí³øíüîãî ñåðåäîâèùà. Ðàçîì ç òèì ó ñêëàäíî¿ òåõí³÷íî¿ ñèñòåìè òà ÂÍÇ áàãàòî ñï³ëüíîãî, òîìó äëÿ ïîáóäîâè éîãî äåðåâà ö³ëåé ìîæíà âèêîðèñòàòè äîñâ³ä, íàêîïè÷åíèé â îáëàñò³ àíàë³çó ôóíêö³îíóâàííÿ ñêëàäíèõ ñèñòåì. Äëÿ êîæíîãî âèä³ëåíîãî ð³âíÿ ö³ëåé âèêîðèñòîâóþòü îêðåìó îñíîâó äåêîìïî- çèö³¿. 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Äåêîìïîçèö³ÿ ãëîáàëüíî¿ ö³ë³ ñêëàäíî¿ ñèñòåìè ïðîâîäèòüñÿ çà òàêèìè îçíàêàìè, ÿê âèä ê³íöåâîãî ïðîäóêòó, åòàïè éîãî æèòòºâîãî öèêëó, åòàïè öèêëó óïðàâë³ííÿ. Ïðî- àíàë³çóºìî ìîæëèâ³ñòü âèêîðèñòàííÿ òàêèõ îçíàê êëàñèô³êàö³¿ ç îãëÿäó íà îñîáëèâîñò³ ôóíêö³îíóâàííÿ ÂÍÇ. Âèçíà÷åííÿ ïðîäóêòó ä³ÿëüíîñò³ ÂÍÇ ìîæëèâå ëèøå â ðàìêàõ ðîçãëÿäó éîãî ÿê ñïåöèô³÷íî¿ âèðîáíè÷î¿ ñèñòåìè. Òàêèé ï³äõ³ä ìຠíà ìåò³ ïåðåíåñåííÿ äîñâ³äó ôóíêö³îíóâàííÿ ÀÑÓ âèðîáíèöòâîì íà ÀÑÓ ÂÍÇ ³ âèÿâëåííÿ îñîáëèâîñ- òåé ïðîöåñ³â, ùî â³äáóâàþòüñÿ ó ÂÍÇ, íà â³äì³íó â³ä âèðîáíè÷èõ. ϳä ê³íöåâèì ïðîäóêòîì ÂÍÇ çâè÷àéíî ðîçóì³þòü ôàõ³âö³â ç âèùîþ îñâ³òîþ, ðåçóëüòàòè íàóêîâî-äîñë³äíî¿ ðîáîòè. Ó öüîìó âèïàäêó ÿê ö³ë³ ïåðøîãî ð³âíÿ âàðòî âèä³ëèòè çàáåçïå÷åííÿ: – ï³äãîòîâêè âèñîêîêâàë³ô³êîâàíèõ ôàõ³âö³â; – âèñîêî¿ åôåêòèâíîñò³ ïðîâåäåííÿ íàóêîâî-äîñë³äíèõ ðîá³ò. Ðåàë³çàö³ÿ âêàçàíèõ ö³ëåé äîçâîëèòü äîñÿãíóòè ïåðøî¿, äîì³íóþ÷î¿ ÷àñòèíè ãëîáàëüíî¿ ö³ë³. Äåêîìïîçîâàí³ ö³ë³ ïåðøîãî ð³âíÿ, ùî º áåçóìîâíî âàæëèâèìè, àëå íå ãîëîâíèìè, çàëèøàþòüñÿ áåç óâàãè. Îòæå, äàíà îñíîâíà îçíàêà äåêîìïî- çèö³¿ íå ö³ëêîì â³äáèâຠîñîáëèâîñò³ ôóíêö³îíóâàííÿ ÂÍÇ. Ó äðóãîìó âèïàäêó ïðè äåêîìïîçèö³¿ ãîëîâíî¿ ö³ë³ ï³ä åòàïàìè æèòòºâîãî öèêëó ê³íöåâîãî ïðîäóêòó çâè÷àéíî ðîçóì³þòü ïîïåðåäíþ (ï³äãîòîâ÷ó), îñíîâíó ³ çàêëþ÷íó ñòà䳿 éîãî âèðîáíèöòâà. ßêùî âèêîðèñòîâóâàòè æèòòºâèé öèêë ÿê ï³äñòàâó äëÿ âèçíà÷åííÿ ö³ëåé ïåðøîãî ð³âíÿ äåðåâà ö³ëåé ³ çðîáëåíå âèùå âèçíà÷åííÿ “ ïðîäóêòó ” ó ÂÍÇ, òî öå áóäå ìàòè íàñë³äêîì çàéâó äåòàë³çàö³þ äåêîìïîçèö³¿. Êð³ì òîãî, ñêëàä ö³ëåé ïåðøîãî ð³âíÿ íå áóäå ïîçáàâëåíèé íå- äîë³ê³â, âèÿâëåíèõ âèùå. Òðåòÿ îñíîâà äåêîìïîçèö³¿ ÿê åòàï³â öèêëó óïðàâë³ííÿ âèçíà÷ຠïëàíóâàííÿ, îáë³ê, àíàë³ç òà ðåãóëþâàííÿ. Ó òàêîìó âèïàäêó âèä³ëÿþòü 12 ö³ëåé ïåðøîãî ð³âíÿ, äî ÿêèõ íàëåæèòü çàáåçïå÷åííÿ: ïëàíóâàííÿ ï³äãîòîâêè ôàõ³âö³â, íàóêî- âèõ êàäð³â, ïëàíóâàííÿ âèêîðèñòàííÿ íàóêîâîãî ³ çàãàëüíîåêîíîì³÷íîãî ïîòåíö³- àëó, êåð³âíèöòâà ï³äãîòîâêîþ ôàõ³âö³â ³ ò.ä. Âèêîðèñòàííÿ òàêî¿ îñíîâè äåêîìïî- çèö³¿ äëÿ ÂÍÇ ïðàâîì³ðíå, àëå ìຠðÿä íåäîë³ê³â. Ïî-ïåðøå, ìຠì³ñöå çàéâà äåòàë³çàö³ÿ ö³ëåé ïåðøîãî ð³âíÿ. Ïî-äðóãå, ðîçïîä³ë ö³ëåé îäíîãî íàïðÿìêó ä³ÿëüíîñò³ ÂÍÇ ïî ð³çíèõ ¿õí³õ óãðóïîâàííÿõ á³ëüø âèñîêîãî ð³âíÿ óòðóäíþº àíàë³ç ôóíêö³îíóâàííÿ ñèñòåìè óïðàâë³ííÿ ÂÍÇ ³ ïîáóäîâó éîãî ôóíêö³îíàëüíî¿ ñòðóêòóðè. 4. Âèä ä³ÿëüíîñò³ ÂÍÇ – îñíîâà äåêîìïîçèö³¿ éîãî ãëîáàëüíî¿ ö³ë³ ßê îñíîâó äåêîìïîçèö³¿ ãëîáàëüíî¿ ö³ë³ ÂÍÇ íà ö³ë³ ïåðøîãî ð³âíÿ ïðîïîíóºòü- ñÿ âèêîðèñòîâóâàòè âèä ä³ÿëüíîñò³ ÂÍÇ. ³äïîâ³äíî äî öüîãî âèä³ëÿþòüñÿ òàê³ ö³ë³ ïåðøîãî ð³âíÿ: çàáåçïå÷åííÿ ï³äãîòîâêè ôàõ³âö³â, óñï³øíå ïðîâåäåííÿ íàó- êîâî-äîñë³äíî¿ ðîáîòè, îïòèìàëüíå âèêîðèñòàííÿ êàäð³â ÂÍÇ, âèêîíàííÿ ³íôîð- ìàö³éíî-á³áë³îòå÷íî¿ ðîáîòè, åôåêòèâíå çä³éñíåííÿ ìàòåð³àëüíî-ãîñïîäàðñüêî¿ ä³ÿëüíîñò³. Âèêîðèñòàííÿ âêàçàíî¿ îñíîâè äåêîìïîçèö³¿ ìຠòàê³ ïåðåâàãè ïåðåä ðîçãëÿ- íóòèìè âèùå: – äîñÿãàºòüñÿ îá ’ ºêòèâíå âèçíà÷åííÿ ö³ëåé, ùî ôîðìóþòü ö³ëåïîêëàäàþ÷³ ñèñòåìè, ³ ìåíøà éìîâ³ðí³ñòü âïëèâó íà öåé ïðîöåñ ñóá ’ ºêòèâíî¿ òî÷êè çîðó ðîçðîáíèêà; – äîñÿãàºòüñÿ ïîâíîòà äåêîìïîçèö³¿ çà ðàõóíîê ôîðìóâàííÿ ÿê “ çîâí³øí³õ ” , òàê ³ “ âíóòð³øí³õ ” ö³ëåé ä³ÿëüíîñò³ ÂÍÇ, à òàêîæ ïîãîäæåí³ñòü ö³ëåé îêðåìèõ ï³äñèñòåì ÂÍÇ. Ö³ëü âèùèõ îðãàí³çàö³é çá³ãàºòüñÿ ç ãëîáàëüíîþ ö³ëëþ ÂÍÇ, òîìó ùî âîíà íèìè ôîìóºòüñÿ. ÂÍÇ áóäåìî ðîçãëÿäàòè ç ïîçèö³é éîãî ïîä³ëó íà ï³äñèñòåìó, ùî óïðàâëÿº  , òà ï³äñèñòåìó, ÿêîþ óïðàâëÿþòü  [2]. Ãëîáàëüíà ö³ëü  Z âêëþ÷ຠâ ñåáå òàê³ ï³äö³ë³: +xklTU.4mJn)؀!U Vj B@K,ӄ@ *b F JDIQ`@4R(ڮٻ',ZMnϜ;gfsKĺ_D2NJ, pHc2|"ܰdH*k u/Qz+I zqZBxzoFkሱqMDw2eX;y92UǤw49'1[`yv2|4W^H!BeI0Wq3oe⻥<=ZIj6kYsoˬ+s2NfH\u\I$G> NYrmY+5? 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Çîâí³øíº ñåðåäîâèùå (ï³äïðèºìñòâà, îðãàí³çàö³¿, ùî áóäü-ÿêèì ÷èíîì ïîâ ’ ÿ- çàí³ ç ÂÍÇ, êð³ì â³äíîñèí ï³äïîðÿäêóâàííÿ) ôîðìóþòü ò³ æ ö³ë³, ùî ³ ï³äñèñòåìà  , ³, êð³ì òîãî, âèçíà÷àþòü íåîáõ³äí³ñòü åôåêòèâíî¿ îðãàí³çàö³¿ ï³äâèùåííÿ êâàë³ô³êàö³¿ ôàõ³âö³â ç âèùîþ îñâ³òîþ, çàéíÿòèõ ó â³äïîâ³äíèõ ãàëóçÿõ íàðîäíî- ãî ãîñïîäàðñòâà. Âèáðàíà îñíîâà äåêîìïîçèö³¿ äîçâîëÿº ïîáóäóâàòè ïîâíå äåðåâî ö³ëåé ÂÍÇ. Ãîëîâíèì ìîòèâîì éîãî ïîáóäîâè º ïðàãíåííÿ âðàõóâàííÿ âñ³õ ìîæëèâèõ ö³ëåé, ùî çóñòð³÷àþòüñÿ â ïðàêòèö³ ôóíêö³îíóâàííÿ ÂÍÇ. Äåðåâî ö³ëåé áóäü-ÿêîãî êîíêðåòíîãî ÂÍÇ º ï³äãðàôîì äàíîãî äåðåâà. 5. Ìàòåìàòè÷íå ïðåäñòàâëåííÿ ³íôîðìàö³éíî¿ ìîäåë³ ÂÍÇ Ö³ë³ íèæ÷èõ ð³âí³â òðàíñôîðìóþòüñÿ ó ôóíêö³¿ óïðàâë³ííÿ.  çàãàëüíîìó âèä³ ôóíêö³ÿ óïðàâë³ííÿ ñèñòåìîþ º ¿¿ âëàñòèâ³ñòü â äèíàì³ö³, ùî ïðèâîäèòü äî äîñÿãíåííÿ ö³ë³. Åëåìåíòàðí³ ôóíêö³¿ ñèñòåìè íàçèâàþòü ôóíêö³îíàëüíèìè çà- äà÷àìè. Çì³ñò ôóíêö³îíàëüíî¿ çàäà÷³ ïîâ ’ ÿçóþòü ç îäåðæàííÿì âèçíà÷åíîãî ðåçóëüòàòíîãî (âèõ³äíîãî) äîêóìåíòà, ìîæëèâèì óòî÷íåííÿì öüîãî âèçíà÷åííÿ çà øëÿõîì â³äîáðàæåííÿ â íüîìó çíà÷èìîñò³ âèð³øåííÿ ôóíêö³îíàëüíî¿ çàäà÷³ äëÿ óïðàâë³ííÿ, ÿêà º íàéïðîñò³øèì åëåìåíòîì ôóíêö³îíàëüíî¿ ñòðóêòóðè ÂÍÇ ³ ñïðÿìîâàíà íà ðåàë³çàö³þ âèçíà÷åíî¿ åëåìåíòàðíî¿ ö³ë³, ðåãëàìåíòîâàíî¿ â ÷àñ³ ³ òàêî¿, ùî äîñÿãàºòüñÿ êîíêðåòíèì âèêîíàâöåì. Çì³ñò ôóíêö³îíàëüíî¿ çàäà÷³ çá³ãàºòüñÿ ³ç çì³ñòîì ôóíêö³é âèêîíàâöÿ, ñïðÿìîâàíèõ íà äîñÿãíåííÿ âèçíà÷åíî¿ åëåìåíòàðíî¿ ö³ë³ óïðàâë³ííÿ. Íà îñíîâ³ äåðåâà ö³ëåé áóäóºòüñÿ ôóíêö³îíàëüíà ñòðóêòóðà ÂÍÇ, ùî íàâåäåíà íà ðèñóíêó. 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OԞ2M,ɇL#%n=|}ٌ]JgP#j}%ܦ[l?ֿ92f:{9o]|9RɣU6* ک9_ʟr~æGT̆FGU~O(yNج},2/o+} ACHseL9dB>y8йwl,K2%LJ"1yk&!f@=@vC;rDf3ƌK^weL/ĽONY(FgR 1*rGqA_r96>=t6.cބ;y u(8y }M\:p]=ݻo2^iOJ+gYgJn7}$M'FH}e."O5_{="M[4yzS}V^ϟL,rzd2xy0—vwi섵%m4! 2q>i~U2]/T.QbB). ζ:󠳌j:9d,6\i%6+ڔ|{7x 3n.ʲt`Ve˲ 4S^]G=iL:hy)MўviNG=c{̻Ʒ=9vAcrB _.C=W+gZUXioеPyت7HʰOH 8G)-K+.Ya׈~%8||EtKZ精:3[ qqdM+ M|ЦҩJqW?b{;HPFZo9MmGq1=kㅋ|,,c54 ²Ì óïðàâë³ííÿ ÂÍÇ áóäóºòüñÿ ç âðàõóâàííÿì òðüîõ âàæëèâèõ àñïåêò³â: – ) p ..., , p , p ( P p k 2 1  – âåêòîðà çàäà÷ (íåïîðîæíüîãî), ÿê³ âèð³øóþòüñÿ ÂÍÇ; – ) s ..., , s , s ( S s k 2 1  – âåêòîðà ñòðàòåã³é óïðàâë³ííÿ ÂÍÇ, ÿê³ ïîëÿãàþòü ó ðîçïîä³ë³ ìàòåð³àëüíèõ, ô³íàíñîâèõ, ³íôîðìàö³éíèõ òà ³íòåëåêòóàëüíèõ ðåñóðñ³â ì³æ ï³äñèñòåìàìè ÂÍÇ; – ) c ..., , c , c ( C c k 2 1  – âåêòîðà ìîæëèâèõ ñòðóêòóð íà åëåìåíòí³é áàç³, ÿêîþ º ï³äñèñòåìè ÂÍÇ. Î÷åâèäíî [2], ùî ôóíêö³¿ óïðàâë³ííÿ ) y ..., , y , y ( Y y k 2 1  âèçíà÷àþòüñÿ âåêòîðàìè S , C , P . Ìຠì³ñöå çàëåæí³ñòü ) S , C , P ( f Y  . (8) Åôåêòèâí³ñòü âèêîíàííÿ êîæíî¿ ôóíêö³¿ y i k , 1 i , y  âèçíà÷àºòüñÿ ïîêàçíèêîì åôåêòèâíîñò³ ) S , C , P ( E E i i f y  . (9) ²íòåãðàëüíà õàðàêòåðèñòèêà âèêîíàííÿ ÂÍÇ ñâîãî ïðèçíà÷åííÿ º êðèòåð³ºì åôåêòèâíîñò³, ùî ìຠòàêèé âèãëÿä: ) S , C , P ( E E f Y  . (10) Äëÿ ïîáóäîâè îïòèìàëüíî¿ ²Ì íåîáõ³äíî âèìàãàòè âèð³øåííÿ çàäà÷³ çíàõîä- æåííÿ [2 ]: ) s , c , P ( E max E max f C c Y S s    . (11) Î÷åâèäíî, ùî íà åòàï³ ïîáóäîâè ²Ì ðîçâ ’ ÿçîê çàäà÷³ (11) º íåâ³äîìèì, àëå éîãî ìîæíà ³ ïîòð³áíî ïðîãíîçóâàòè ç âèêîðèñòàííÿì êëàñè÷íèõ ìàòåìàòè÷íèõ ìå- òîä³â, íåéðîííèõ ìåðåæ, íå÷³òêèõ ìíîæèí, ³ì³òàö³éíîãî ìîäåëþâàííÿ òà åêñïåð- òíèõ îö³íîê. 6. Âèñíîâêè ²Ì º ïåðøîþ ³ âèçíà÷àëüíîþ ìîäåëëþ ïðè ïðîåêòóâàíí³ ÀÑÓ ÂÍÇ. Ïðè ¿¿ ðîçðîáö³ íåîáõ³äíî áàçóâàòèñü íà îäí³é ³ç ñõåì êëàñèô³êàö³¿ çàäà÷, ùî âèð³øó- þòüñÿ ÂÍÇ. Îïòèìàëüíà ³íôîðìàö³éíà ìîäåëü º ïåðåäóìîâîþ ñòâîðåííÿ àâòîìà- òèçîâàíî¿ ñèñòåìè, ùî º ïåðåäóìîâîþ åôåêòèâíîãî óïðàâë³ííÿ ³ç âëàñòèâîñòÿìè ìàêñèìàëüíî¿ ïðîñòîòè, â³äêðèòîñò³ òà â³äñóòíîñò³ íàäëèøêîâîñò³. Ñïèñîê ë³òåðàòóðè: 1. Àâòîìàòèçàöèÿ óïðàâëåíèÿ âóçîì. Ì.: Ðàäèî è ñâÿçü, 1987. 187ñ. 2. Ìîë÷àíîâ À.À. Ìîäåëèðîâàíèå è ïðîåêòèðîâàíèå ñëîæíûõ ñèñòåì. Ê.: Âûùà øê., 1988. 359 ñ. 3. Ñíèòþê Â.Å. Ìåòîäû óìåíüøåíèÿ íåîïðåäåëåííîñòè íà íà÷àëüíûõ ýòàïàõ ïðîåêòè- ðîâàíèÿ ñëîæíûõ ñèñòåì ñ ïåðåìåííîé ñòðóêòóðîé. Àâòîðåô. äèññ. êàíä. òåõí. íàóê. Ê.: ÊÍÓÁÀ, 1999. 18 ñ. 4. Òèì÷åíêî À.À., Ðîäèîíîâ À.À. Îñíîâû èíôîðìàòèêè ñèñòåìíîãî ïðîåêòèðîâàíèÿ îáúåêòîâ íîâîé òåõíèêè. Ê.: Íàóê. äóìêà, 1991. 152 ñ. Íàä³éøëà äî ðåäêîëå㳿 26.02.2001 Ѻðêîâà Ëþáîâ Åäóàðä³âíà, ñòàðøèé âèêëàäà÷ êàôåäðè êîìï ’ þòåðíèõ òåõíî- ëîã³é ×åðêàñüêîãî ³íæåíåðíî-òåõíîëîã³÷íîãî ³íñòèòóòó. Àäðåñà: Óêðà¿íà, 18005, ×åðêàñè, á-ð Øåâ÷åíêà, 460. Ñíèòþê ³òàë³é ªâãåíîâè÷, êàíä. òåõí. íàóê, äîöåíò êàôåäðè êîìï ’ þòåðíèõ òåõíîëîã³é ×åðêàñüêîãî ³íæåíåðíî-òåõíîëîã³÷íîãî ³íñòèòóòó. Àäðåñà: Óêðà¿íà, 18005, ×åðêàñè, á-ð Øåâ÷åíêà, 460. `(x{LuǟpGVR$m9ҵ:,,jV\ża3hb3t^JU xCZ69ry'"{/wy.<-[D<"Yp&2 y "-ܛ7:Qg·b"QZ'I- |fWFx|ЈUFNv;~ﶠt,[bc'|=e(g,O!XZI_ߣWKQ,ة_̵lbFHTJcr!AF,\$sta}V8\zwh|o{$U^-O{2I16?OPSsx䎲HI`t$BWYmꞗ?f>:3l~%|8 ?aw#5Cbd>ѕ/<6^K#gR+*^5ga}ks%Օ x:ĥb. y1ڟ+8N9DN=B?'sݑG^yqfp%UFTldw4l_0G_o OD rg4fNsQ{ވV;C+v"x{qƳ$LU8Gz~=-eF0P3.|ؚWARyn-Ô-VwN؋g7Xc; *+W8R -D-R({c8 !#^'**<d#ť{)THT~/B!ݛ$ n>F )?*0 usJQ㋯d 1bM5]KMuZ0;W*zӪuGI|.bJwt5WL>$?Dq'xqa솏RiYY7j4k8g}= JLT|7u;Hhe=.m p_';Yܗ4x:y|D<3p<$/"O3 8=sYΰ oCcށT)I/d&vT|tn8mSBc-WK;iL( ,󈿐8wnq=}IlYA7f*s=Han?:eOGj y <xX+jw}e_g"Ξ"և!+O`H`%S|  @9{Ksb[9 pOȊ_J&rRy<< hz'_:8χ'ƒ9ݍ*n9e"Q|:$JϹGspfm#!#`21S@1r<t]- asOVϡ֞$*yZW>DzU?T/pϿiMTҾI鴵wR6|/[鵔5?+F_|gkP%{sZ9Q}aC;M-XkiQ}Q{X$e7oU~Z_ klzty+Oj\5O5[>4Եd 3`g΀;v[?΀;v 3@nMicrosoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:24   ,t|(1642j/i1?<_{x ^Uyϻ$dUBI䣾Y ȇD%@X> AAЂ 8XЖtcPFhGmK!!DdX,Y / &}޽wui g9ysyyǽZ BXMzA CY-Tە97^= aǨ<|ě&GCPW,9ZYSBXᴲW+}SQSC( 4OPn+aS0!E(.>u"22QJޤP{ܴZƢniyy> p ϭ0ORiLKRSn=pz2q-!o|6yx(gMtG&^"t=;-l\~p?ޙşcK?E6vxHaXs3S>?S(hե~+E)yV:\'pdl*16ޜmtɭ&"-lⅥAosdYNjkls6mcUUjS{+Y')fP>t%YEyxI ǩחTp`Fvn+q-`P@.Ua~ƙ9um_'a݊9E"fB&\#CPozKxC8>1oT|J戯]a Ły4Hyv\6>-Ap3gfE_yacC^'T[Ğ_eR:'}z<|~zjX*IYXki=4Kߣ<'Osj6-ٮɪRs܏ld{AƲey)n{m $czk58v«eS!tͻȿϔ6؉B]>[V4uk-m{MAVpڸŽY[!Wc)Ikk[9izX\5pk,KnXA,ӠOCahU>+*[yB= |W'քy@ }(GǢ|?ڌꭒgwGT\WoG%^|JCDHzA3sY9v=xHl*]3~c:ZO!.)u#Ag{YŖ[X[o:MX}y̎qo{j3?8A=qb̏?mh] k]">,axB3Q] uֆdWzj8%#,U?& LxR̐>6[(>'it>r+Cy="OhW)Cƺmӆ>-OiQsjq-JXr\ ,XnM< +iƔ~c3T٭GJDkK!.n\y;,;qkghjyէOT=~$ 7V3tbtfyOH;Pt*~Xۀ/uv-6*עK0}[S؉.*L7 Gxln;WDf[؝5k&׻ze 7ՁC18{GtUѰh nUcFk ѳJc6[iʡ;cBuG܉CQ<0G2e,1mIYyb #2IӦM xHc K"o@ vx~)]?/@9r ; 2W?3 eMߝJ%dm0IaOg1_>RWʭ#ƾ d<(& ^u-ϲS:uɓv.1@Ls}چF0jwf^-:U?Ƭ3m] W.;)ޡWI(3x*<ϋDAG։m$XĒz9s.Ӻu2؟@<ȢvD'vCLXpl+^ v0He=Bi)4zl1frj&SO-PxFIC MTWq`l -fdkf] :9, ,/RYe"і֥~|A^%;W㗋ޚg(Ҝm `Oo%w4i1)ZHCҾXHtsO9M=p o>6)#+73> /Kl.o p>켘q'),pcc?ׅDOwx q`/oP=+C yĽ֫鮏!tQy1%.(#$O9N[s:&d 'Ɵ9c OvxGžwc=qgü7ڰn Y3x0;sGupEx_'ź0< Wgx\ĞkGl^#v92(OR]7;__fAno_]hfAyv ^I\nf1 oQ鴏ʝv{Ӧ2Se:o`z EmO˲]xlئn\@#>xK0}ɘ>c^&THk3ISsϸЖ:nG=bd]ygnHb#5챁Kl*FpٓqƋrɞ";s`'rC iq h<{uOka=:#zZ\;O1.Ziv@זxmǖCL;Ӹv]ccŞ~k-7-o՚AeiS2gaVF.Z +Y3:'S ^>w)n`RW@i|<&m?I9t^?;>`Yr5 :(ܥO_>Re࡮!E!g E;^UXMeOm{3?o[{t{.;U7py؞.IL(mAtA99`]BgQzLGbe˾C<~rЫE.`,r-4x!#C2،ۂ\->M{\`;r.NoBIL ߣyٓUpzT|xUoS[=A[1<(#M(6aoa+㜏V>'،Bˡc ~ NWԡ ^~nNs9j9~;vgZqoO2bhߓpN~ h纖xN=}wڰMv)m >"& Z:i?)`~F&ZL5^|Ëݗ㮞']|/;4;!nճw$89+8>4{|.Cq6Oj=RNR2]n{Ld@G>2Fuw>xC]ؚ!X*n'}X`[@~tj}Iy(wuoG)! !kHFȢ dvItrgTpoRH?~#b|BY"rh]fiPzƟ`mZ>}9à U.xP[elwL@ݼ'HW<"dׂ_cnqx Rƙ:u1>xHS֡E(4M'v9OK`\h}ց *@L7C)5+>dJ#vW+HOW/r/357wH(yLN7|R`l4oXzu\תߔ^u::2%e+9ioft-}sпe14`[yBe nO-O /㡅7yzZXzNQJU!ʚ濫W -Lp̞$wU4 ,ӓz%$(e/.|PEYvYa}kc':A s*1yܼhG69a7E[)jUI1Ǯ3!?f9sO EQ%je|3^+dW@6O>~aj;seݡ.U^#}MǶh͎9ŋ-O+zJW"׾/mx]EB FvКAڕu/5YO-݌9Z$H iv_3>7?'> +94LmփV>wti$?}V8RJ/s L>O8B|{y⫒Ng3| iZ1t>~_*t[4.m<I`r)xgRtȤZ=Me5ՙ63Ltf\N\_Z '\^F~VtjJJ+Lm;^a3|@ ߾VsӜ<x/_YN髊ue.m=_jmL/-wީ-G)A‡޿m3|L 3m#{w-SSFwl-W ~/ZKlp%ѭ-J=[h;_!SSJ&?6l:qZ<+m:0s x8iU~T̻m1[~pIqZCv}AhϨ(%<] y|V8O=l[:4Hfx8 [/8)B4-cDe=#~P.)Ku.:/Ws٨{X'(,(`GBEA].V(~b1ݿ)4sPT?CE}[K{7|Zre޲D{-_*;$_#%F~fFhĔ4ևv-g'캲G^$Fg0],H1j]W6 M9WIQ@F1[AEtӺruϙ {k֕޲l#Meka4ue8_ʝRhυ7/R*)ax6^7 ~&LGzZ:ҘS&2xz@_gd%Κk~ŬՌ{&g;>#Sh'V5{T bߖm] ްHeexgLW8f.댄rr14l2ѽR.2 +u9 uu(#ψpWQ1uO߭ U rZnc]lњ}?q>>hlj<_vg]=CN9BOW}zFveLs'+7^gg9z׬b符ߏ/탾L<}D1Ǻ2^۹GW4 _smmXQ #7;[yC9cfO%uuR[Eg#1gׁFrF;)/yx)/bCn}#vm9k~ȥyL̶֜AIk)c(ޜgNH(,,55 ÓÄÊ 658.012.011.56 Â.Ì. ËÅÂÛÊÈÍ, Ì.Â. ÅÂËÀÍÎÂ, ÌÓÕÀÉÐÀÒ ÌÎÕÀÌÌÀÄ ÊÎÍÖÅÏÖÈß ÏÎÑÒÐÎÅÍÈß CASE-ÑÈÑÒÅÌÛ ÐÀÇÐÀÁÎÒÊÈ ÈÍÔÎÐÌÀÖÈÎÍÍÛÕ ÓÏÐÀÂËßÞÙÈÕ ÑÈÑÒÅÌ Ïðåäëàãàåòñÿ íîâûé ïîäõîä ê îðãàíèçàöèè è ïîñòðîåíèþ CASE-ñðåäñòâ ðàçðàáîòêè èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì. Ïðè ïðîåêòèðîâàíèè îáåñ- ïå÷èâàþùåé ÷àñòè òàêèõ ñèñòåì ïðåäëàãàåòñÿ èñïîëüçîâàòü åäèíóþ èíòåãðè- ðîâàííóþ CASE-ñèñòåìó, âêëþ÷àÿ ñîîòâåòñòâóþùèé ýëåìåíò â êà÷åñòâå åå àëãîðèòìà.  íàñòîÿùåå âðåìÿ áîëüøèíñòâî ðàáîò ïî àâòîìàòèçàöèè ïðîåêòèðîâàíèÿ èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì (ÈÓÑ) ñîñðåäîòî÷åíî â îáëàñòè ñîçäàíèÿ ñïåöèàëüíûõ CASE-ñðåäñòâ. Òàêèå ñðåäñòâà ïðèçâàíû îáåñïå÷èòü àâòîìàòèçà- öèþ ðàáîò ïî àíàëèçó îáúåêòà àâòîìàòèçàöèè, ðàçðàáîòêå ôóíêöèîíàëüíîé ñòðóêòóðû ïðîåêòèðóåìîé ÈÓÑ, à òàêæå ðàáîò ïî ñèíòåçó ðàçëè÷íûõ âèäîâ îáåñïå÷åíèé. Ïðè ýòîì â ñèëó îñòðîé ïîòðåáíîñòè â ïîäîáíûõ ñðåäñòâàõ îñíîâíîå âíèìàíèå ðàçðàáîò÷èêîâ óäåëÿåòñÿ ïðîáëåìå ñîçäàíèÿ ýôåêòèâíûõ ñðåäñòâ àâòîìàòèçàöèè ðàñïðåäåëåííîé áàçû äàííûõ (ÐÁÄ) ÈÓÑ è ïðîãðàììíîãî îáåñïå- ÷åíèÿ. Îäíàêî ïðàêòè÷åñêàÿ íåîáõîäèìîñòü è ñòðåìëåíèå ïðèäåðæèâàòüñÿ óæå îòðàáîòàííûõ òåõíîëîãèé èçíà÷àëüíî îáóñëàâëèâàþò ñëîæíîñòü ñòûêîâêè îò- äåëüíûõ CASE-ñðåäñòâ â åäèíóþ òåõíîëîãè÷åñêóþ ëèíèþ ðàçðàáîòêè, ðåàëèçà- öèè è âíåäðåíèÿ ÈÓÑ. Áîëüøèíñòâî ðàçðàáîòîê â äàííîé îáëàñòè ïðåäñòàâëåíû íàáîðîì ïðèëîæåíèé, êàæäîå èç êîòîðûõ ðåàëèçóåò åäèíè÷íîå CASE-ñðåäñòâî. Ñâÿçü òàêèõ ïðèëîæåíèé äðóã ñ äðóãîì îñóùåñòâëÿåòñÿ, ïðåèìóùåñòâåííî, ÷åðåç âíåøíèå ôàéëû ñïåöèàëüíûõ ôîðìàòîâ [1, 2]. Èñõîäÿ èç ýòîãî, àâòîðàìè ñòàòüè ïðåäëàãàåòñÿ ñêâîçíîé ïîäõîä ê ïîñòðîåíèþ CASE-ñèñòåìû ðàçðàáîòêè èíôîðìàöèîííûõ ñèñòåì. Îñíîâíàÿ êîíöåïöèÿ äàííî- ãî ïîäõîäà çàêëþ÷àåòñÿ â èäåå ñîõðàííîñòè ñòðóêòóðû ïðîåêòèðóåìîé ÈÓÑ íà ðàçëè÷íûõ ýòàïàõ ïðîåêòèðîâàíèÿ. Ïîä ñòðóêòóðîé ÈÓÑ ïîíèìàåòñÿ âçàèìî- ñâÿçü ïðîöåññîâ îáðàáîòêè èíôîðìàöèè, âíåøíèõ ïî îòíîøåíèþ ê ñèñòåìå ñóùíîñòåé è õðàíèëèù äàííûõ, â ñèëüíîé ñòåïåíè îáóñëîâëåííàÿ ïîñëåäîâà- òåëüíîñòüþ ïðîöåññîâ õîçÿéñòâåííîé äåÿòåëüíîñòè îáúåêòà àâòîìàòèçàöèè. Ïîä ñîõðàííîñòüþ ïîíèìàåòñÿ òîæäåñòâåííîñòü ïðåäñòàâëåíèé ñòðóêòóðû ñèñòåìû íà ýòàïàõ ïðîåêòèðîâàíèÿ ôóíêöèîíàëüíîé ñòðóêòóðû ñèñòåìû, ðàçðàáîòêè âèäîâ îáåñïå÷åíèé è âíåäðåíèÿ ñîçäàííîé ÈÓÑ íà îáúåêò.  ñîîòâåòñòâèè ñ ýòèì ïîäõîäîì ñîâîêóïíîñòü ñðåäñòâ ñîçäàíèÿ ÈÓÑ ìîæíî ðàññìàòðèâàòü êàê åäèíóþ CASE-ñèñòåìó, êîòîðàÿ ðàçðàáàòûâàåòñÿ ñ ó÷åòîì îñîáåííîñòåé îñíîâíîãî òåõ- íîëîãè÷åñêîãî ïðîöåññà ïðîåêòèðîâàíèÿ ÈÓÑ.  ÷àñòíîñòè, äàííàÿ CASE-ñèñòå- ìà äîëæíà ïðåäóñìàòðèâàòü ïðîöåññû ïðÿìîãî è îáðàòíîãî ïðîåêòèðîâàíèÿ âèäîâ îáåñïå÷åíèé è ôóíêöèîíàëüíîé ñòðóêòóðû ÈÓÑ, à òàêæå îáåñïå÷èâàòü ïðîâåðêó óñëîâèé ñîõðàííîñòè ñòðóêòóðû ïðîåêòèðóåìîé ÈÓÑ íà ðàçëè÷íûõ ýòàïàõ ïðîåêòèðîâàíèÿ. Ðàññìîòðèì îñíîâíûå îñîáåííîñòè òàêîé CASE-ñèñòåìû íà ïðèìåðå ïðîöåññîâ ïîñòðîåíèÿ ÐÁÄ ÈÓÑ. 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Êàê ïîêàçàíî â [3], ðàññìàòðèâàåìûå êàòåãîðèè ÿâëÿþòñÿ êàòåãîðèÿìè ñòðóê- òóðèðîâàííûõ ìíîæåñòâ. Èñïîëüçîâàíèå ïðåäëàãàåìîé CASE-ñèñòåìû ïîçâîëÿåò ïðåäñòàâèòü ïðîöåññû ïðîåêòèðîâàíèÿ ÐÁÄ ÈÓÑ â ñîîòâåòñòâèè ñ ìîäåëüþ (1) â âèäå ñõåìû, èçîáðà- æåííîé íà ðèñóíêå. w P M w L M w  w L P M M Ф w P M P Ф w L L T M Ф w P w L P Ф w L w  L Ф w K L T T Ф w L T w K T w  L M Ф w  K T Ф w   Ф w  w L M L Ф Ïðîöåññ ïðîåêòèðîâàíèÿ ÐÁÄ ÈÓÑ Íà ðèñóíêå ïðèíÿòû ñëåäóþùèå îáîçíà÷åíèÿ:  – êàòåãîðèÿ òðåáîâàíèé ïîëüçîâàòåëåé ê ÈÓÑ;   Ф – ôóíêòîð îòîáðàæåíèÿ êàòåãîðèè ïàðàìåòðîâ ïðåä- ìåòíîé îáëàñòè â êàòåãîðèþ òðåáîâàíèé ïîëüçîâàòåëåé ê ÈÓÑ;  L M Ф – ôóíêòîð îòîáðàæåíèÿ êàòåãîðèè òðåáîâàíèé ïîëüçîâàòåëåé ê ÈÓÑ â êàòåãîðèþ ìîäåëåé äàííûõ, ïðèìåíÿåìûõ äëÿ ëîãè÷åñêîãî ïðîåêòèðîâàíèÿ ÐÁÄ ÈÓÑ â öåëîì; L – êàòåãîðèÿ ëîãè÷åñêèõ ìîäåëåé ÐÁÄ ÈÓÑ;  L Ф – ôóíêòîð îòîáðàæåíèÿ êàòåãîðèè ïàðàìåòðîâ ïðåäìåòíîé îáëàñòè â êàòåãîðèþ ëîãè÷åñêèõ ìîäåëåé ÐÁÄ ÈÓÑ; L M L Ф – ôóíêòîð îòîáðàæåíèÿ êàòåãîðèè ëîãè÷åñêèõ ìîäåëåé ÐÁÄ â êàòåãîðèþ ìîäåëåé äàííûõ, ïðèìåíÿåìûõ äëÿ ëîãè÷åñêîãî ïðîåêòèðîâàíèÿ ÐÁÄ ÈÓÑ â öåëîì; P – êàòåãîðèÿ ôèçè÷åñêèõ ìîäåëåé ÐÁÄ ÈÓÑ; L P Ф – ôóíêòîð îòîáðàæåíèÿ êàòåãîðèè ëîãè÷åñêèõ ìîäåëåé ÐÁÄ ÈÓÑ â êàòåãîðèþ ôèçè÷åñêèõ ìîäåëåé ÐÁÄ ÈÓÑ; P M P Ф - ôóíêòîð îòîáðàæåíèÿ êàòåãîðèè ôèçè÷åñêèõ ìîäåëåé ÐÁÄ ÈÓÑ â êàòåãîðèþ ìîäåëåé äàííûõ, ïðèìåíÿåìûõ äëÿ ôèçè÷åñêîãî ïðîåêòèðîâàíèÿ ÐÁÄ ÈÓÑ. x#xYlTeϝ.,ݦso{K a EPM4Abu@HC/c 4"Hb0( [Y,B*a+Ҋci߹LfHyb"I,0Dύ<+W`=ʔ1]M{k=+wC7W33(%U㤤F1̺bu'.:ؒD+ 1+_le6ÿϙ& r5$.w{iUf,ղוyl-Eߕi˾Ld ȬNg'MŪ{cAa4a3E>Ybs^ Q4tFi^n'yT1Q"}vcxXRHLEu(CNr5rc9$v/g7I{|L5O]Al?ǣe1ɇEǷmv@uͯ,{Czk]rݜ0}5]'Kg˩9u<4)gr`8igSeo<{c0CKCXf46T.`;S>]t>83mrb˷|_v@FƂVlyBØE.{o{6'?;?ՏwG<=6w9GyHvi~90-v_G^cQ Zh ;Aerd5쁮ue3*m=qޗU@02W vw ZeQȀ]^kTI'_%_d6ߘ7{gxW9:MqJn9|r8Żwۥ:x#k8؉c':28AHưbΚ$Ue FVK0J%:z56ɳH;Ӆ/w|44x5P>.|iT`;qTgeVWK )"܏k*}JnVLbO6r6;u|Zɓ_6~~)t$ёv)t$1bUsRe~N?'t^b/# .hQ.|R.JRdg/ |abľ_MY?V? 8[&y(m m)rg([f]r(n2.7W&4m7|P@Moa:\Cƛl+ $67h׾߈Lfz /PJAo\yCg(΃fN*K4?M~_*¹k_p1ɝ&J6k^G oÿoKf}:& C1虵2uF= M'}ד{ԤLz4A |e?k {] ޴2x&6ϓB>LFUCw5: gC ^6\)ΖDՓ(Fz&O-Ki~;nݑ{ e qyt+F:zݛy[ɺyGooGYfaϡ]`G`uNΦϹ|-χY>`΅˖ ,_2WaS>Ua\k-s墅D.-8{w'>~^(h/\lsp{O@ 7tţ9Xa֣+|G˥#gw z̷t=+_(Q D2eeC(Q DxT3^߭Microsoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:25  h` >kX`(1628/n1r0{x UynX!$`HAPE) 8X$Z֎HciՎv֏ȠE8i%$f , )A{ݻfOss<9<9 !}!;{~;^Bmg^%?3غ gpG OppUs9]mP(Y"y!:h={ r~TUSAE*^aMϠbfxv>8ʣ;\n܈\MNO8p}d=O)gH|~_Yaa&yy6-R%Ү_<բ3Z :-88\{^j]6q`K2o?M|maaKH>:}yD! /J7eNăo<B{Ø( LGupjކsI8Oegp8?2}ꆧ^yurL#|#>pܐ*=_W1/|ޫkD.}+9J^MCCߓ:T3|/j\ŧmu.EMoOwupXg2[&h0$xSZ) L.gZ ݋㖹6W?C'x)G>t4m;<7,w<5/=ƁJqA^7u{2,K) 71OOԆ~[iV՘Ly̺'ŗ86ਛ6^%> )LI0}ø?$FaqNR>>\ 'fQ;0l.7)ux^-*i_oʰeVS~fm\9bGFo<)N~[՗a{`͕=ypEhgN3yv}pמXO櫷god>istQ t= E'_?i#+-'XnjrԓWR1);$G;Dϓ:pWQ.@u *.r 7䧺֭Ǫk֑*Nuۺ<>,XDOE~$kCI<^ uz> {J+crE=֟s şudmծS%s;OԳ \Maھl /1f{|yOeeHmg6<Ṽ/΃1JT΃h3jsbn#Dl=8kp$ƨA՜:w~:WlmN\͉ /v_ݘi3)WH|oω/<㩬xs"ʊs"ỷGӇ9F%F,3\v'wg&G*s/qN{ag^e~} qyBxLߧG^p~3%w >+{Gw`ř |\QB>z x((Bk{)'pIEqʚ3.͸{\>M<޳si\/QxOt+ƻNS뾚Fk\9=mS((/)]QJ;Vs&<)X/T KfXWy$Ҕ;O)Os\/=e%w>@|@/Ng;ҭqM;hkT1N~q 9KrԑT|syKy ONSB*돔?ZzͮvZ}C-/{cg\M@mEgnK|d~^;Jbzӫk*yUUUtm]SucX[Ǣ_X뾢cj@cE^ұs 2t,k ̞tlk?{]Ƕ{wD4F@T9[kWbuӎv:3@b+XбD.}5nܪd'}?̲o;HOlLjJfOob;ql4lp`8pm NAC| #GV*_kGViS#CƲ;[n`68}>.x.cN)G lxv xt"m`K;AڰB-;6wc\&0xLs ߰G;mW򆧌!+|x6Qm'T߰#7)+傭/|34!3[%cdMPMQ0j~R:b$ Rp*?PZ:yF:_O>04/ei)ce ֕u3YvgG}_ig Gn{nOopsq㚻흘+?*&U?v?ZQ8ti 8Z3UGp6Rq#/UrQIY8I3Nmv'W&mϏ*oҪQyeZq's-oeһg*šXM.ymZzid~qMnPrjrqS7&p]Z־4ʐ>`eugד}scx}B RT7x3HWE8㢫|!do=dz[ޒ1BÖ81}a>OIy2E4ȅil^q0V%@2 9[&gƹ<>0)3k:w(e 46uQ9ssg _f9>Xn>*y֡ej z2/9X6Sk2E粆8u:,u8?">7(* ٭7*qqWJ:jonoV>7Lّco4';#>շl]CLYwyM'B'`]MZ%2n;uZW+<.ž'/5p7]њ3l#qɳ7X6tˋDU?\`h+w9+XdłxVw 9 c'k`VI}_c/o/)  GvB ~tW&gzϠnɻd)|⅃?[aýXpgTg w +NqN OC|T=Wy,}z3x'=WA<㣫{r4!%>RM9t0}aCOSu<<NIN:[zYNhk(K8kLݖڥg"'PS w5UcUt uOuڐ-yLOηWU ݟȞܿJx͏C}c79~OwdĻR;s 8r_}Ÿu|c~^˾q;Lq_Nr#r>KhK%VE0`ywa1qeY<0n+q 5 |6/Z#ZV}Ly̝c:n?kKi|x[>9]^_Ι"|1|-[u?2fؤUræ41-|g31\J<#nn9oIGOB^܇yH:'m?e "9`RLg?VF.,7+ VF՗_>7⭚5B٩)Vw[|.])Ke㠃0>JioS42/L_uW/D 8ʻp8- e5L~Dig V~FK7%jc̣JgmǬ[څ}f x1X2 yG0N7'PzR`ָ#lq/t5m.qFp~F9r W}?Kd`Ri觪Fy>/}m5h^uO^O?gż5yJUuoT^ɜ}z:!eϹh[aj) Z3Jܱ6[/ȃFwܴvS6L"cxhg=AǏP@>|Hہ3ODb_|k ˛WoqEPiS+"/l]րrGwXx3~2Փ;؏89_q >Z K~Jg#['sLi.C+zSq: ?ÁX6ovmr}}JOcMM`غcغcdt竭ѽ@R+W0\<FT37X*҂tȄ@1O]<ذN#q|py^Z?ԅ^!4-{{TemyxGO&~V<n_)xg2jnңUČ["nOq==Ts3 q#44]6O2EN7~wgi{v<_b] cndzp=tv8+w~b7~gm:g:׵3BgnͳKDut?갢3Ny=ucI/{}l;8T}O{}oD.}lOܟm'o\{9]B]4Uu*k6ƗZxpN۹7{nއC#twzWӳ~3):@N]Ӓb3V_*D|˾S=k%XJ~oa#/;W7}m~U,ZRq)oh"u#=e"M NC'h3$G%Tت\/I#n]`nG*i?갼 }x{2ޝ|G(U5Nųe) hCecf;ܘ8}pt'AOI-A3Ixw0ಟk7&) n nBY鶝n//{T$wȥy~et^О{Ϙ Y/Fur~Wq 57V^+tO_V|}l1mS#;kD}|+^ ٧p+k߳ٳ erB.47ԟߟݛ+^/xQ[w֋|߲Ey`Ⱦ~$Bȥ`*@;Z%kDN,'^yͅ:<1{cm{vu鹀z*~5{vdmvwyeˇw~g*m\o:\:_}SjW-ԗTOzaZ1o6~jFEmWnXiɵ~ɲ~XܰpsA_4k?hZr+} 37z1{acWGNEp0uq%9tPCkhp":Ekq7E[N]R^S К8yxMy0N?G}gc}<$8N6#=L~tMA{f<*auv{ykݚ=_x);%6`g_cgGW=dz[ty?:7;g{.=o|H}/貼 1?2>σiJRW~ L·|Ŀ{L?JuSoI|ҠnHk|hڤNeR'awZ/0%[<tG$CqHƫW˫(zj݌4ݰhjT{bnךUz3F1gMz ~nӗ0Ƈ4"c1%<}e W~땛HkoKr7v2)/ p?mH~لOfl< yWnځ݉6qn=-a=C7ˁ.gc?mdD.}|tTX0#-mNbkhg9>W9h޶ٲҽ2mTIl2caoh8>nT5XkxeH~uwiPm75hnlzv1BW""!e>n1@>sqHKl7\2aO_'' &*I+VyuړqFԾԖg_D,~ڼVaL_bC0nqXY:-s=џ0{V2a|㋰0&̓4/07}P?9,SQ>_1o.3+3|Vcd| |IP k|嵃|2n{z+5Ao|tHwr+%wI{|WWa].fXO|]I׵3eR{HN7mn7۠3]zjюuL/.}Wnw;ioݖrb>bZSzz(cwIZ'Ho}@~q ~=/rREYMؗb7\~F~N&X}jqk|z,j7>o[n `$&Ƴ.'([Jv~:_‹式'{{a]q7 ȥ۔ z.rrI'=Z,Xƭ[ ߁l=gqŽq+s˲e.ױ)@G=zq1N:msǑv9 y|kf/buP}Jɨ_؛gB>uw]Bš_]GtxO{i{yC`W$,,+57 Íà ðèñóíêå ñïëîøíûìè ëèíèÿìè ïîêàçàíû ïðîöåññû ïðÿìîãî ïðîåêòèðîâàíèÿ ÐÁÄ ÈÓÑ, îñíîâàííûå íà èññëåäîâàíèè ïðåäìåòíîé îáëàñòè è ôîðìèðîâàíèè îáùåñèñòåìíîé ëîãè÷åñêîé è ôèçè÷åñêîé ìîäåëè ÐÁÄ èç åå ëîêàëüíûõ êîíöåï- òóàëüíûõ ìîäåëåé. Ïóíêòèðíûìè ëèíèÿìè ïîêàçàíû äðóãèå âîçìîæíûå âàðèàí- òû ðåàëèçàöèè ïðîåêòèðîâàíèÿ ÐÁÄ, à èìåííî: “ ñâåðõó âíèç ” (ïðîåêòèðîâàíèå îñóùåñòâëÿåòñÿ íà îáùåñèñòåìíîì óðîâíå â âèäå ñîçäàíèÿ è êîððåêòèðîâêè êàòåãîðíûõ ìîäåëåé  ,  , L M è P M ñ ïîñëåäóþùåé äåòàëèçàöèåé) è “ íàïðÿ- ìóþ ” (ïðîåêòèðîâàíèå îñóùåñòâëÿåòñÿ íà îáùåñèñòåìíîì óðîâíå ïóòåì ïðÿìîé ðåàëèçàöèè êàòåãîðíûõ ìîäåëåé  , L è P ). Âûáîð êîíêðåòíîãî âàðèàíòà â îáùåì ñëó÷àå ÿâëÿåòñÿ ïðåðîãàòèâîé ïðîåêòèðîâùèêà, êîòîðûé ïðèíèìàåò ðåøåíèå íà îñíîâàíèè ðåçóëüòàòîâ èññëåäîâàíèÿ îáúåêòà àâòîìàòèçàöèè. Èñõîäÿ èç äàííîãî ïðåäñòàâëåíèÿ ñòàíîâèòñÿ âîçìîæíûì ðàçäåëèòü ïðîöåññû ïðîåêòèðîâàíèÿ ÐÁÄ ÈÓÑ íà ïðîöåññû ñèíòåçà (êîððåêòèðîâêè) êàòåãîðíûõ ìîäåëåé è ïðîöåññû ðåàëèçàöèè ôóíêòîðîâ, îáåñïå÷èâàþùèõ ïðåîáðàçîâàíèå êàòåãîðíûõ ìîäåëåé äðóã â äðóãà è ïîääåðæèâàþùèõ ñîõðàííîñòü ñòðóêòóðû ñîçäàâàåìîé ÈÓÑ. Àíàëèçèðóÿ ôóíêòîðû L P L L К L К M M T M Т Т Т Ф Ф Ф Ф , , ,  , îáóñëàâëèâàþùèå ñîõðàííîñòü ñòðóêòóðû ïðîåêòèðóåìîé ñèñòåìû â ïðîöåññå ðàçðàáîòêè ÐÁÄ ÈÓÑ, ìîæíî ñäåëàòü ñëåäóþùèå âûâîäû. Âî-ïåðâûõ, äàííûå ôóíêòîðû îïðåäåëåíû íà êàòåãîðèÿõ, èìåþùèõ åäèíóþ ïðèðîäó. Êàê áûëî îòìå÷åíî âûøå, êàæäàÿ èç êàòåãîðèé ÿâëÿåòñÿ êàòåãîðèåé ñòðóêòóðèðîâàííûõ ìíîæåñòâ. Ïðè ýòîì îòíîøåíèÿ îáúåêòîâ, ìîðôèçìîâ è îòîáðàæåíèé äàííûõ êàòåãîðèé â îáùåì ñëó÷àå îïðåäåëÿþòñÿ êîììóòàòèâíûìè äèàãðàììàìè è ðàâåíñòâàìè êîìïîçèöèé ìîðôèçìîâ è îòîáðàæåíèé [3], óñòàíîâ- ëåííûìè â ïðîöåññå ôîðìèðîâàíèÿ êàòåãîðèé. Èñõîäÿ èç íàçíà÷åíèÿ äàííûõ êàòåãîðèé, ìîæíî óòâåðæäàòü, ÷òî ýòè êîììóòàòèâíûå äèàãðàììû è ðàâåíñòâà îïðåäåëÿþò ñòðóêòóðó ñîçäàâàåìîé ñèñòåìû íà ðàçëè÷íûõ ýòàïàõ ïðîåêòèðîâà- íèÿ ÈÓÑ. Âî-âòîðûõ, íåîáõîäèìîñòü â ïðîöåññå ïðîåêòèðîâàíèÿ ïðèäåðæèâàòüñÿ çà- äàííîé ñòðóêòóðû ñèñòåìû (ôóíêöèîíàëüíîé, îðãàíèçàöèîííîé, èíôîðìàöèîí- íîé è ò.ä.) âûçûâàåò, â ñâîþ î÷åðåäü, íåîáõîäèìîñòü ñîõðàíåíèÿ íàïðàâëåíèÿ îòîáðàæåíèé è ìîðôèçìîâ, ðåàëèçîâàííûõ â êàòåãîðèè – íà÷àëå ôóíêòîðà, ïðè ôîðìèðîâàíèè êàòåãîðèè – êîíöà ôóíêòîðà äëÿ êàæäîãî èç ðàññìàòðèâàåìûõ ôóíêòîðîâ. Äàííîå óòâåðæäåíèå ïîçâîëÿåò îïðåäåëèòü L P L L К L К M M T M Т Т Т Ф Ф Ф Ф , , ,  êàê êîâàðèàíòíûå ôóíêòîðû [4]. Èñõîäÿ èç ýòèõ âûâîäîâ, â äàëüíåéøåì èõ ìîæíî ðàññìàòðèâàòü êàê ÷àñòíûå ñëó÷àè ðåàëèçàöèè îáîáùåííîãî êîâàðèàíòíîãî ôóíêòîðà В Е К К Ф , îïðåäåëÿåìîãî íà êàòåãîðèÿõ В К (êàòåãîðèÿ – íà÷àëî ôóíêòîðà) è Е К (êàòåãîðèÿ – êîíåö ôóíêòî- ðà). Äàííûé ïîäõîä ïîçâîëÿåò ðàññìàòðèâàòü ïðîöåññû ðåàëèçàöèè ôóíêòîðîâ â âèäå îáîáùåííîãî àëãîðèòìà, èìåþùåãî ñëåäóþùèé âèä. Øàã 1. Îïðåäåëåíèå ðåæèìà ðåàëèçàöèè ïðîåêòà ðàçðàáîòêè ñòðóêòóðû èíôîðìàöèîííîãî îáåñïå÷åíèÿ. Åñëè âûáðàí ðó÷íîé ðåæèì, òî ïåðåéòè ê øàãó 3.  ïðîòèâíîì ñëó÷àå ïåðåéòè ê øàãó 2. Øàã 2. Îïðåäåëåíèå ïåðâîãî íåðåàëèçîâàííîãî ôóíêòîðà èç ïîñëåäîâàòåëüíî- ñòè L P L L К L К M M T M Т Т Т Ф Ф Ф Ф , , ,  . Çàòåì ïåðåéòè ê øàãó 4. Øàã 3. Îïðåäåëåíèå ïðîåêòèðîâùèêîì ðåàëèçóåìîãî ôóíêòîðà èç ïîñëåäîâà- òåëüíîñòè L P L L К L К M M T M Т Т Т Ф Ф Ф Ф , , ,  . Øàã 4. Óñòàíîâêà âçàèìíî-îäíîçíà÷íûõ ñîîòâåòñòâèé ìåæäó òèïîâûìè êàòå- ãîðèÿìè В К , Е К è êàòåãîðèÿìè, ó÷àñòâóþùèìè â ðåàëèçàöèè çàäàííîãî ôóíêòî- ðà. G0xLUeǟEpB\q9u\S+Br )m.ҖڤZ?4*%$t8Zʹ{On[u`}}=q"Zd&Dfɉ"k]t7YAdRlg/r %W68Kk>Cl !R 5ZdK7'A2FI٥L.;ve|xK'I2ˬinZ>_yYH J4d/ ASr9=yh#r=yɲGϐ-6_{eޞNKB7Kyq+W&G.1=S΂=tTC6P2d%n k w"a53)Fӥe>-݊ڭYYY[vo1XDKfMe ceUu-7sw6s7t<.N!~U;C`@j7̐j#cq6г'Eުn]&Fuךֱk9ֶ?5X;/%E͝? 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Óñòàíîâêà ñîîòâåòñòâèÿ ìåæäó òèïîâûì ôóíêòîðîì В Е К К Ф è ðåàëèçóå- ìûì ôóíêòîðîì. Øàã 6. Îïðåäåëåíèå óðîâíÿ ïðåäñòàâëåíèÿ êàòåãîðèé В К è Е К . Åñëè âûáðàí óðîâåíü îáúåêòîâ, òî ïåðåéòè ê øàãó 7. Åñëè âûáðàí óðîâåíü ïîäîáúåêòîâ, òî ïåðåéòè ê øàãó 13. Åñëè âûáðàí óðîâåíü ýëåìåíòîâ, òî ïåðåéòè ê øàãó 20. Øàã 7. Ââîäÿòñÿ ýëåìåíòû ìíîæåñòâà 1 В êàòåãîðèè В К è ìíîæåñòâà 1 Е êàòåãî- ðèè Е К . Øàã 8. Ââîäÿòñÿ ýëåìåíòû ìíîæåñòâà 2 В êàòåãîðèè В К è ìíîæåñòâà 2 Е êàòåãî- ðèè Е К . Øàã 9.Äëÿ ââåäåííûõ ýëåìåíòîâ ìíîæåñòâ 1 В è 2 В êàòåãîðèè В К îïðåäåëÿåòñÿ îòîáðàæåíèå 1 2 B B F . Øàã 10. Äëÿ ââåäåííûõ ýëåìåíòîâ ìíîæåñòâ 1 Е è 2 Е êàòåãîðèè Е К îïðåäåëÿ- åòñÿ îòîáðàæåíèå 1 2 E E F . Øàã 11. Äëÿ ýëåìåíòîâ ìíîæåñòâà 1 В êàòåãîðèè В К ââîäèòñÿ ìîðôèçì 1 B f . Øàã 12. Äëÿ ýëåìåíòîâ ìíîæåñòâà 1 Е êàòåãîðèè Е К ââîäèòñÿ ìîðôèçì 1 Е f . Çàòåì ïåðåéòè ê øàãó 15. Øàã 13. Âûïîëíÿþòñÿ ïðîöåäóðû, àíàëîãè÷íûå ïðîöåäóðàì øàãà 8 äëÿ ýëå- ìåíòà ìíîæåñòâà 2 В êàòåãîðèè В К . Øàã 14. Âûïîëíÿþòñÿ ïðîöåäóðû, àíàëîãè÷íûå ïðîöåäóðàì øàãà 8 äëÿ ýëå- ìåíòà ìíîæåñòâà 2 Е êàòåãîðèè Е К . Øàã 15. Ââîäÿòñÿ ýëåìåíòû ìíîæåñòâà 3 В êàòåãîðèè В К è ìíîæåñòâà 3 Е êàòå- ãîðèè Е К . Øàã 16. Ïî àíàëîãèè ñ øàãîì 9 îïðåäåëÿåòñÿ îòîáðàæåíèå 2 3 B B F . Øàã 17. Ïî àíàëîãèè ñ øàãîì 10 îïðåäåëÿåòñÿ îòîáðàæåíèå 2 3 E E F . Øàã 18. Äëÿ ýëåìåíòîâ ìíîæåñòâà 2 В ââîäèòñÿ ìîðôèçì 2 B f . Øàã 19. Äëÿ ýëåìåíòîâ ìíîæåñòâà 2 Е ââîäèòñÿ ìîðôèçì 2 Е f . Çàòåì ïåðåéòè ê øàãó 22. Øàã 20. Âûïîëíÿþòñÿ ïðîöåäóðû, àíàëîãè÷íûå ïðîöåäóðàì øàãà 8 äëÿ ìíî- æåñòâà 3 В êàòåãîðèè В К . Øàã 21. Âûïîëíÿþòñÿ ïðîöåäóðû, àíàëîãè÷íûå ïðîöåäóðàì øàãà 8 äëÿ ìíî- æåñòâà 3 Е êàòåãîðèè Е К . Øàã 22. Äëÿ ýëåìåíòîâ ìíîæåñòâà 3 В ââîäèòñÿ ìîðôèçì 3 B f . Øàã 23. Äëÿ ýëåìåíòîâ ìíîæåñòâà 3 Е ââîäèòñÿ ìîðôèçì 3 Е f . Øàã 24. Ïî àíàëîãèè ñ øàãîì 6 îïðåäåëÿåòñÿ ñîîòâåòñòâóþùèé óðîâåíü îáúåêòîâ. Åñëè âûáðàí óðîâåíü îáúåêòîâ, òî ïåðåõîäèì ê øàãó 25. Åñëè âûáðàí óðîâåíü ïîäîáúåêòîâ, òî ïåðåõîäèì ê øàãó 27. Åñëè âûáðàí óðîâåíü ýëåìåíòîâ, òî ïåðåéòè ê øàãó 29. Øàã 25. Óñòàíàâëèâàåòñÿ ñîîòâåòñòâèå âåðõíåé ÷àñòè êîììóòàòèâíûõ äèàã- ðàìì è ðàâåíñòâ êàòåãîðèé В К è Е К . Åñëè ýòè óñëîâèÿ âûïîëíÿþòñÿ, òî ïåðåéòè ê øàãó 27. &xKlUBڙajy VZ^ q a HŽH\%4D! 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Óñòàíàâëèâàþòñÿ è êîððåêòèðóþòñÿ íàðóøåíèÿ îòîáðàæåíèé 1 2 B B F , 1 2 E E F . Øàã 27. Ïî àíàëîãèè ñ øàãîì 25 óñòàíàâëèâàåòñÿ ñîîòâåòñòâèå íèæíåé ÷àñòè êîììóòàòèâíûõ äèàãðàìì è ðàâåíñòâ êàòåãîðèé В К è Е К . Åñëè ýòè óñëîâèÿ âûïîëíÿþòñÿ, òî ïåðåéòè ê øàãó 29. Øàã 28. Óñòàíàâëèâàþòñÿ è êîððåêòèðóþòñÿ íàðóøåíèÿ îòîáðàæåíèé 2 3 B B F , 2 3 E E F . Øàã 29. Êîððåêòèðîâêà ýëåìåíòîâ êàòåãîðèé В К è Е К . Øàã 30. Íàïîëíåíèå òèïîâîãî ôóíêòîðà В Е К К Ф . Øàã 31. Êîïèðîâàíèå ïîëó÷åííûõ êàòåãîðèé В К è Е К â ñîîòâåòñòâóþùèå êàòåãîðèè, îïðåäåëåííûå íà øàãå 4. Øàã 32. Êîïèðîâàíèå ïîëó÷åííîãî ôóíêòîðà В Е К К Ф â ñîîòâåòñòâóþùèé ôóíê- òîð, îïðåäåëåííûé íà øàãå 5. Øàã 33. Îïðåäåëèòü ðåæèì ðåàëèçàöèè ïðîåêòà. Åñëè óñòàíîâëåí àâòîìàòèçè- ðîâàííûé ðåæèì è íå âñå ôóíêòîðû ðåàëèçîâàíû, òî ïåðåéòè ê øàãó 2. Åñëè âûáðàí ðó÷íîé ðåæèì è âûðàæåíî æåëàíèå ïðîäîëæèòü ðàáîòó, òî ïåðåéòè ê øàãó 3.  ïðîòèâíîì ñëó÷àå çàâåðøèòü âûïîëíåíèå àëãîðèòìà. Èñïîëüçîâàíèå ïðåäëàãàåìîãî àëãîðèòìà â ïðîöåññàõ ïðîåêòèðîâàíèÿ ÈÓÑ ïîçâîëÿåò âûäâèíóòü òðåáîâàíèÿ ê ðåàëèçàöèè CASE-ñèñòåìû ðàçðàáîòêè ÈÓÑ â âèäå îáùåãî ïðîãðàììíîãî êîìïëåêñà, â êîòîðîì ìîæíî âûäåëèòü äâà îñíîâíûõ ïðîãðàììíûõ ìîäóëÿ - ìîäóëü ãåíåðàöèè è êîððåêòèðîâêè êàòåãîðíûõ ìîäåëåé ÈÓÑ è åå âèäîâ îáåñïå÷åíèé è ìîäóëü ðåàëèçàöèè ôóíêòîðîâ, îïðåäåëÿþùèõ óñëîâèÿ ïåðåõîäà ìåæäó ðàçëè÷íûìè ýòàïàìè ïðîåêòèðîâàíèÿ ÈÓÑ. Ïðè ýòîì íàñòðîéêà íà êîíêðåòíûé ýòàï ïðîåêòèðîâàíèÿ ÈÓÑ äîëæíà îñóùåñòâëÿòüñÿ ïóòåì ïîäêëþ÷åíèÿ áàç çíàíèé, â êîòîðûõ îïðåäåëåíû îñíîâíûå ýëåìåíòû è ïðàâèëà èñïîëüçóåìûõ òåõíîëîãèé ïðîåêòèðîâàíèÿ. Òàêîé ïîäõîä [5] ïîçâîëÿåò íàèëó÷øèì îáðàçîì ó÷èòûâàòü âñå áîãàòñòâî âîçìîæíîñòåé ðåàëèçàöèè ïðîåêò- íûõ ðåøåíèé ÈÓÑ, íàêîïëåííîå ê íàñòîÿùåìó ìîìåíòó. Ñïèñîê ëèòåðàòóðû: 1. Âåíäðîâ À.Ì. CASE-òåõíîëîãèè. Ñîâðåìåííûå ìåòîäû è ñðåäñòâà ïðîåêòèðîâàíèÿ èíôîðìàöèîííûõ ñèñòåì. Ì.: Ôèíàíñû è ñòàòèñòèêà, 1998. 176ñ. 2. Ìàêëàêîâ Ñ.Â. BPWin è ERWin. CASE-ñðåäñòâà ðàçðàáîòêè èíôîðìàöèîííûõ ñèñòåì. Ì.: ÄÈÀËÎÃ-ÌÈÔÈ, 1999. 256 ñ. 3. Ìóõàéðàò Ìîõàììàä, Ëåâûêèí Â.Ì., Áîðèñåíêî Â.Ï., Áîðèñåíêî Ò.È. Òåîðåòèêî-êàòåãîðíîå ìîäåëèðîâàíèå ïðîöåññîâ àâòîìàòèçèðîâàííîãî ïðîåêòèðîâàíèÿ ðàñïðåäåëåííûõ áàç äàííûõ êîðïîðàòèâíûõ èíôîðìàöèîííûõ óïðàâëÿ- þùèõ ñèñòåì // ÀÑÓ è ïðèáîðû àâòîìàòèêè, 2000. Âûï. 111. Ñ. 156-162. 4. Öàëåíêî Ì.Ø., Øóëüãåéôåð Å.Ã. Îñíîâû òåîðèè êàòåãîðèé. Ì.: Íàóêà, 1974. 256 ñ. 5. Ëåâûêèí Â.Ì., Ñêëÿðîâ À.ß., Åâëàíîâ Ì.Â. Ãåííûé ïîäõîä ê ïðîåêòèðîâàíèþ ñëîæíûõ èíôîðìàöèîííûõ ñèñòåì / Òåçèñû äîêëàäîâ Ìåæäóíàðîäíîé êîíôåðåíöèè “ Òåîðèÿ è òåõíèêà ïåðåäà÷è, ïðèåìà è îáðàáîòêè èíôîðìàöèè ” . Õàðüêîâ: ÕÒÓÐÝ, 2000. Ñ. 12-14. Ïîñòóïèëà â ðåäêîëëåãèþ 30.01.2001 Ëåâûêèí Âèêòîð Ìàêàðîâè÷, ä-ð òåõí. íàóê, äèðåêòîð èíñòèòóòà ÊÈÒ ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ìåòîäîëîãèè è òåõíîëîãèè ïðîåêòèðîâàíèÿ êðóïíîìàñø- òàáíûõ ÈÓÑ. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, óë. ×è÷èáàáèíà, 24, êâ.85, òåë. 43-63-68. Åâëàíîâ Ìàêñèì Âèêòîðîâè÷, êàíä. òåõí. íàóê, ñòàðøèé ïðåïîäàâàòåëü êàôåä- ðû èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ïðî- áëåìû èíòåëëåêòóàëèçàöèè ïðîåêòèðîâàíèÿ è ýêñïëóàòàöèè èíôîðìàöèîííûõ óïðàâëÿþùèõ ñèñòåì. Àäðåñ: Óêðàèíà, 61005, Õàðüêîâ, ïë. Âîññòàíèÿ, 1, êâ. 122, òåë. 40-94-51 (ðàá.). Ìóõàéðàò Ìîõàììàä , àñïèðàíò ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ïðîåêòèðîâàíèå èíòåãðèðîâàííûõ èíòåëëåêòóàëüíûõ èíôîðìàöèîííî-óïðàâëÿþùèõ ñèñòåì. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. Ïîáåäû, 75, êâ. 394, òåë. 36-74-39. 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ÄÆÀÕÈÐÓË ÀÂÒÎÌÀÒÍÛÅ ÌÎÄÅËÈ ÈÑÏÐÀÂÍÎÃÎ ÏÎÂÅÄÅÍÈß ÖÈÔÐÎÂÛÕ ÓÑÒÐÎÉÑÒ Ïðåäëàãàþòñÿ ìîäåëü è àëãîðèòì ìîäåëèðîâàíèÿ èñïðàâíîãî ïîâåäåíèÿ öèôðîâûõ óñòðîéñòâ, îðèåíòèðîâàííûé íà ðåàëèçàöèþ òðîè÷íîãî ñèíõðîííîãî ñîáûòèéíîãî èòåðàòèâíîãî àíàëèçà ïðîåêòèðóåìûõ äèñêðåòíûõ îáúåêòîâ. Ìî- äåëü ìîæåò áûòü òàêæå èñïîëüçîâàíà äëÿ àíàëèçà íåèñïðàâíîñòåé. 1. Ââåäåíèå Ìîäåëü ïðåäñòàâëÿåò ñîáîé ñòðóêòóðó âçàèìîñâÿçàííûõ ôóíêöèîíàëüíûõ ýëåìåíòîâ, îïèñàííûõ êóáè÷åñêèìè ïîêðûòèÿìè â ìíîãîçíà÷íîì àëôàâèòå [1,2]: A 2 ={Q=00,E=01,H=10,J=11,O={Q,H},I={E,J},A={Q,E}, B={H,J},S={Q,J},P={E,H},C={E,H,J},F={Q,H,J},L={Q,E,J}, V={Q,E,H},Y={Q,E,H,J}, A 1 ={0,1,X={0,1}},  (U)}. Îíà ïðåäíàçíà÷åíà äëÿ ðåøåíèÿ ñëåäóþùèõ çàäà÷: 1) ðåàëèçàöèÿ ïðîöåäóðû ïðÿìîé èìïëèêàöèè – èñïðàâíîãî ìîäåëèðîâàíèÿ íåâõîäíûõ ëèíèé ïðè çàäàííûõ óñëîâèÿõ â òðîè÷íîì àëôàâèòå íà âõîäàõ öèôðîâîãî îáúåêòà; 2) âûïîëíåíèå ïðîöåäóðû îáðàòíîé èìïëèêàöèè íà îñíîâå ïðèìåíåíèÿ Ï- àëãîðèòìà â öåëÿõ îïðåäåëåíèÿ âõîäíûõ óñëîâèé, óäîâëåòâîðÿþùèõ çàäàííîìó ñîñòîÿíèþ âûõîäíûõ (íåâõîäíûõ) ïåðåìåííûõ; 3) ìîäåëèðîâàíèå îäèíî÷íûõ êîíñòàíòíûõ íåèñïðàâíîñòåé, çàäàâàåìûõ êîîð- äèíàòàìè êóáè÷åñêèõ ïîêðûòèé ïðèìèòèâíûõ ýëåìåíòîâ (ÏÝ) öèôðîâîé ñòðóê- òóðû. 2. Ïðÿìîé àíàëèç êóáè÷åñêîãî ïîêðûòèÿ Ïðîöåäóðà âûïîëíåíèÿ ïðÿìîé èìïëèêàöèè íà àâòîìàòíîé ìîäåëè ïåðåìåí- íûõ ] Y , X [ f Y ) 1 t ( ) t , 1 t ( t    , ãäå X, Y – âåêòîðû âõîäíûõ è íåâõîäíûõ àâòîìàòíûõ ïåðåìåííûõ, îïðåäåëÿåòñÿ âûðàæåíèåì t ) 1 t ( ) t , 1 t ( Y ] Y , X [    è çàâèñèò îò ñïîñîáà îïèñàíèÿ ïîâåäåíèÿ ÏÝ. Åñëè ýòî àíàëèòè÷åñêàÿ çàïèñü, â òîì ÷èñëå è íà àëãîðèòìè÷åñêèõ ÿçûêàõ, òî äëÿ îïðåäåëåíèÿ âûõîäíîé ðåàêöèè ïðèìèòèâà íà âõîäíîå ñëîâî íåîáõîäèìî èìåòü óíèâåðñàëüíûå èëè ñïåöèàëüíûå ðåøàòåëè – òðàíñëÿòîðû èëè êîìïèëÿòîðû, äîðîãîñòîÿùèå, íî èìåþùèå âûñîêîå áûñòðîäåéñòâèå. Íåäîñòàòîê àíàëèòè÷åñêèõ ìîäåëåé – èõ âûñîêàÿ ñòîèìîñòü, îïðåäåëÿåìàÿ ñëîæíîñòüþ íàïèñàíèÿ è îòëàä- êè ôàêòè÷åñêèõ ïðîãðàìì ìîäåëèðîâàíèÿ ïðèìèòèâîâ. Êðîìå òîãî, òàêèå ìîäåëè íå ïîäëåæàò àâòîìàòè÷åñêîìó àíàëèçó èëè ñèíòåçó â öåëÿõ ïðîåêòèðîâàíèÿ îáùèõ ñòðóêòóð äàííûõ óñòðîéñòâà èëè äåêîìïîçèöèè ïîñëåäíåãî íà ñîñòàâíûå ÷àñòè, à òàêæå èõ íåëüçÿ èñïîëüçîâàòü äëÿ ðåøåíèÿ äðóãèõ çàäà÷ òåõíè÷åñêîé äèàãíîñòèêè. Ãðàôîâîå ïðåäñòàâëåíèå ïîâåäåíèÿ ïðèìèòèâà ìîæåò áûòü îôîðì- ëåíî â àíàëèòè÷åñêóþ çàïèñü, è òîãäà äëÿ íåå áóäóò õàðàêòåðíû âñå òå ïðåèìó- ùåñòâà è íåäîñòàòêè, êîòîðûå íàçâàíû âûøå. 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Àâòîìàò îïèñàíèÿ ôóíêöèé ïðèìèòèâîâ Ïðîåêòèðîâàíèå ïðîöåäóð è àëãîðèòìîâ àíàëèçà èñïðàâíîãî ïîâåäåíèÿ ÖÓ íà îñíîâå èñïîëüçîâàíèÿ äâóõòàêòíîãî êóáè÷åñêîãî èñ÷èñëåíèÿ ïðåäïîëàãàåò èññëå- äîâàíèå ôóíêöèîíàëüíûõ îñîáåííîñòåé ñîñòàâëÿþùèõ êîìïîíåíòîâ. Êëàññèôè- êàöèÿ ðàçíîîáðàçèÿ ïðèìèòèâîâ è èõ ñòðóêòóð îïðåäåëÿåòñÿ ñëåäóþùåé ñîâî- êóïíîñòüþ êà÷åñòâåííûõ õàðàêòåðèñòèê, êîòîðûå ñëåäóåò ó÷èòûâàòü ïðè ñîçäà- íèè ñèñòåìû ìîäåëèðîâàíèÿ. 1) Ìíîãîâûõîäîâîé êîìáèíàöèîííûé èëè ïîñëåäîâàòåëüíîñòíûé ýëåìåíò, â êîòîðîì êàæäûé âûõîä ôóíêöèîíàëüíî çàâèñèì îò âñåõ âõîäîâ. Äëÿ òàêîãî ïðèìèòèâà îïðåäåëÿåòñÿ ïîëíîå ÊÏ, çàäàþùåå âñå âîçìîæíûå ïåðåõîäû íà ïðîñòðàíñòâå âõîäíûõ ñîñòîÿíèé. Ïðèìåðàìè òàêèõ ÏÝ ìîãóò ñëóæèòü ëîãè÷åñ- êèå ýëåìåíòû, ñóììàòîðû, êîììóòàòîðû, äåøèôðàòîðû, ïðåîáðàçîâàòåëè êîäîâ, òðèããåðû, ñ÷åò÷èêè, óïðàâëÿþùèå êîíå÷íûå àâòîìàòû. 2) Ìíîãîâûõîäîâîé ýëåìåíò, ïðåäñòàâëåííûé ÊÏ, â êîòîðîì ñîñòîÿíèå âûõîä- íîé ïåðåìåííîé îïðåäåëÿåòñÿ ïîäìíîæåñòâîì êóáîâ íà îãðàíè÷åííîì ìíîæåñòâå ñóùåñòâåííûõ äëÿ äàííîãî âûõîäà ëèíèé. Çíà÷åíèÿ äðóãèõ âûõîäîâ íà óïîìÿíó- òûõ êóáàõ ïîêðûòèÿ ìîãóò íå îïðåäåëÿòüñÿ áëàãîäàðÿ íàëè÷èþ íà íèõ ñèìâîëîâ Z. Ïðèìåðû òàêèõ ïðèìèòèâîâ – ìèêðîñõåìû, ñîñòàâëåííûå èç íåñêîëüêèõ, íåñâÿçàííûõ ìåæäó ñîáîé ëîãè÷åñêèõ, êîìáèíàöèîííûõ èëè ïîñëåäîâàòåëüíîñò- íûõ ýëåìåíòîâ; ìíîãîôóíêöèîíàëüíûå ðåãèñòðû, ãäå îòäåëüíûå îïåðàöèè íå òðåáóþò ó÷àñòèÿ âñåõ ïåðåìåííûõ ïðè èõ îïèñàíèè. 3) Ìíîãîâûõîäîâîé ÏÝ, èìåþùèé äâóíàïðàâëåííûå ëèíèè, êîòîðûå äîëæíû áûòü êàê âõîäàìè, òàê è âûõîäàìè ïðè îïèñàíèè ÊÏ ïðèìèòèâà. Ïðè ïðîåêòèðî- âàíèè ñòðóêòóð äàííûõ ÖÓ òàêèå ïåðåìåííûå äîëæíû áûòü îòíåñåíû êî âõîäàì. 4) Ìíîãîâûõîäîâîé ïðèìèòèâ, èìåþùèé íåïîëíîå ïîêðûòèå, êîòîðîå ôîðìè- ðóåò îòäåëüíûå ôóíêöèè ÏÝ íà âåêòîðå ñóùåñòâåííûõ ïåðåìåííûõ. 5) Ñòðóêòóðà ýëåìåíòîâ, èìåþùèõ ïîëíûå ÊÏ, íàãðóæåííûå íà âûõîäû îäíîãî ïîòåíöèàëà – ìîíòàæíàÿ ëîãèêà È (ÈËÈ). 6) Ñîâîêóïíîñòü ýëåìåíòîâ ñ íåïîëíûìè ÊÏ (êîòîðûå ôîðìèðóþò îòäåëüíûå îïåðàöèè ôóíêöèîíàëüíîãî ýëåìåíòà), èìåþùèõ âûõîäû îäíîãî ïîòåíöèàëà – îáúåäèíåíèå âûõîäîâ äëÿ îïðåäåëåíèÿ èõ çíà÷åíèé ïîñðåäñòâîì àíàëèçà âñåõ íàãðóæåííûõ íà íèõ ïðèìèòèâîâ. 7) Ôóíêöèîíàëû, ðåàëèçóþùèå àðèôìåòè÷åñêèå îïåðàöèè ïðè èñïîëüçîâàíèè â êà÷åñòâå âõîäîâ è âûõîäîâ îäíèõ è òåõ æå ëèíèé. 8) ÏÝ, èìåþùèå íà âõîäàõ è âûõîäàõ ìíîãîðàçðÿäíûå øèíû è óïðàâëÿþùèå ïåðåäà÷åé èíôîðìàöèè îò A ê B, è íàîáîðîò. Òðèããåðû è ÊÏ ïðåäñòàâëåíû íà ðèñóíêå. C C D D V V T T 1 2 3 4 5 . 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KdwKF_Kò{(]7`loשSf,dN, O )Rz_&sֽZf.X+2W=ӕtv{ ٖ|8Ğ=^CKE1bfNJu{ŁSy)|bj[kmQr傼Q䍷ybEu1f+8m<]?kRҦs;~8x_m&O[;v;Xgt}mm>'y'8vDz:B>-U;vR?~̉zSⷤ%_/cM@+K—s2ctר -=,!UE\jؾ$*~'kUtQ.GOUtkbwLH׹=R~v&WDk{)?+S5anUѽ?e)|o~W&Q6qnUvPw߻$*+J5J~W KA+N u3k\0}]{ R.;-+KR6;ZtK0f{n\Q*~}~ : qg&{?=U9i?PCjp!Ӯ~wzVg\M]n/Y'.9^'K'#]'XqB+GxC+czUrӂ^תq}k XUtguڦa 9櫿Uz_U (X ^sϸFݜyO8Þ3"8_\Ӵ/݂Mh pg*h[ nJj,1pwǬ863cit>1،책 P.<G9/GgOؼ\; U򯏒筍>xE[QN-1Eu꘮}V3abc32lX={\7axʹ<λ.'oqOtT.Ha߅-H߆˿V¿˔4ɿU2WIVkl&jX6-HGz ,CoN˂CWXlGz"v[mvm54x`70 íà âõîäíîé êîîðäèíàòå èëè >1 – íà âíóòðåííåé èëè âûõîäíîé ñëóæèò óñëîâèåì äëÿ îáðàáîòêè ïî ñêâîçíîìó (áåçóñëîâíîìó) àëãîðèòìó âñåõ ýëåìåíòîâ, ñâÿçàííûõ ñ îòìå÷åííûìè ëèíèÿìè, ÷òîáû ïîëó÷èòü íà íèõ àäåêâàòíîå ðåàëüíî- ìó ïîâåäåíèþ ðåøåíèå, ïîñêîëüêó òîëüêî âñå ïðèìèòèâû, íàãðóæåííûå íà îáúåäèíåííûå âûõîäû, ñîçäàþò ïîëíóþ êàðòèíó èõ ñîñòîÿíèé. 3. Êîîðäèíàòíûå îïåðàöèè êîíêàòåíàöèè, ïåðåñå÷åíèÿ, îáúåäèíåíèÿ [1] îïðå- äåëÿþò òåõíîëîãèþ àíàëèçà ÊÏ ïðèìèòèâîâ, ñî÷åòàþùóþ ñâîéñòâà ïðîñòîòû ìåòîäà è ìàêñèìàëüíûõ ôóíêöèîíàëüíûõ âîçìîæíîñòåé, êîòîðûå ìîæíî âûæàòü èç ñèíõðîííîãî ìåòîäà ìîäåëèðîâàíèÿ â ïÿòèçíà÷íîì àëôàâèòå {0,1,X,Z,U}. Îïåðàöèÿ êîíêàòåíàöèè ïðåäíàçíà÷åíà äëÿ ïîëó÷åíèÿ äâóõòàêòíîãî ñèìâîëà êîäèðîâàíèÿ ñîñòîÿíèÿ ëèíèè â ôðåéìàõ (t-1,t) èëè íà ïîëÿõ (M0,M1) ñ öåëüþ âûïîëíèòü ïîñëåäóþùåå ïåðåñå÷åíèå äâóõòàêòíûõ êóáîâ ïîêðûòèé ñ àíàëîãè÷- íûìè ñîñòîÿíèÿìè êîîðäèíàò óïîìÿíóòûõ ïîëåé âåêòîðîâ ìîäåëèðîâàíèÿ. Îïå- ðàöèÿ ïåðåñå÷åíèÿ ôîðìèðóåò ðåçóëüòàò ïåðåñå÷åíèÿ êóáà ÊÏ ñ èñõîäíûìè äëÿ ðàññìàòðèâàåìîãî ÏÝ çíà÷åíèÿìè ñîîòâåòñòâóþùèõ âõîäíûõ, âûõîäíûõ ëèíèé, ïîëó÷åííûõ êîíêàòåíàöèåé ñîñòîÿíèé óïîìÿíóòûõ ïåðåìåííûõ, çàäàííûõ ïîëÿ- ìè M0,M1. Äëÿ ïîâûøåíèÿ áûñòðîäåéñòâèÿ àíàëèçà ÊÏ îïåðàöèÿ ïåðåñå÷åíèÿ ôîðìèðóåò ðåçóëüòàò â âèäå ñîñòîÿíèÿ ëèíèè â ìîìåíò t+1. Ìîäåëü ïðîöåññà ôîðìèðîâàíèÿ ñîñòîÿíèé âûõîäîâ îïðåäåëÿåòñÿ èìïëèêàöè- åé ñëåäóþùèõ ïðîöåäóð: 2 M ) 1 E ( ) 1 E , 0 E ( # E C E 1 M * 0 M        , êîòîðàÿ ìîæåò áûòü ïðåäñòàâëåíà â ôîðìå ïîñëåäîâàòåëüíîãî ïðèìåíåíèÿ ÷åòû- ðåõ ôóíêöèîíàëîâ: ))) 1 M * 0 M ( C ( (# 2 M n 1 i     . Âûïîëíåíèå *-îïåðàöèè ôîðìèðóåò ñèìâîë äâóõòàêòíîãî àëôàâèòà, â äàííîì ñëó÷àå E, êîòîðûé ìîæåò áûòü ðàçëîæåí ê âèäó äâóõ îäíîòàêòíûõ, à äàëåå #- îïåðàöèÿ âû÷èñëÿåò îäíîòàêòíóþ ñîñòàâëÿþùóþ â ìîìåíò t, êîòîðàÿ ïåðåíîñèò- ñÿ  -îïåðàöèåé âî ôðåéì t+1. Áèíàðíàÿ îïåðàöèÿ ïåðåñå÷åíèÿ çàìåíÿåò ñîáîé ïîñëåäîâàòåëüíîñòü äåéñòâèé, ñâÿçàííóþ ñ îáúåäèíåíèåì íåïóñòûõ ðåçóëüòàòîâ ïåðåñå÷åíèé ) C E ( C , E ) C E ( C m 1 j ij j ij j i n 1 i          . Åñòåñòâåííî,  -îïåðàöèÿ, ïðåäíàçíà÷åííàÿ äëÿ îáúåäèíåíèÿ íåïðîòèâîðå÷è- âûõ ðåçóëüòàòîâ ïåðåñå÷åíèé âåêòîðîâ ìîäåëèðîâàíèÿ è êóáîâ ïîêðûòèÿ, îïðå- äåëåíà íà ñèìâîëàõ îäíîòàêòíîãî àëôàâèòà, ÷òî äåëàåò åå êîìïàêòíîé. Ðåçóëüòè- ðóþùèå çíà÷åíèÿ â íåé ïðåäñòàâëåíû ïÿòüþ ñèìâîëàìè, êîòîðûå èäåíòèôèöè- ,x}LUċzA./ˋ \a1tQ&j &LVL(M֦W,y%YBϹGss/s"c"wHCEV9pN[AdܲS5"'=};ۥj Tܙ0_#3Ѭk-6see6EB>3Ld^}kV=\o>qI5PlF)y|׬S_=PϣuqM(?Q=uA'Kѵd e)kQ 1Tu%ث'=|ER_ ~o"7o7\9Z˗p B,Jfy^ OK`7`ڗ B]!N`~awo{Ve&5`.J|]@<_iԚ+/)=(GJ9cj @&Z' <>`\ ԸL^7N$`%ZNc筬e?J=!? ?n0Ddyځ}ZOFECjڥ7D6P“ Ӯ ~<õx!o.{{ \&tU @3w1JwjNeOé?>>ScGoUN0KIW! {9 HkNGNYE8hfӅ]]Dlu 䱾 xN-*e7zx{xnmةW}O˽n4Vu]pg c_[X+=1tN|/8"<}q/VߟZj?}"PYZedAݏ924vrV[͹h`.P _ܛսz9U zwb=3?KӰ v 'S߷VklѬH{<,V49wc3mlc5wy{w;OE}}]ͩ[嵊w>#_O~1ce[o&_ѓ\Fr~|ݍOwiݍ7汪*O~VyF]{}Ws*1UߘYSߘ6 uVT}= hOc+`+`+`+`+`+`+`+`+`+`+[z3{@ EMicrosoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:27  m '(162R/1@{ kxŝ}]Gyځ@!uxa+J)q8V 2UTQ PN!"J*"D *B*H @?ZTHJqۺjޘ5k)s>{瞽g?zٙywޙy{34G94oKڳitcφ49fpÞ74L3xOQpOKW4QꗆOqmhIj_>/M׹MsTJ<;O3uxͣ活+-e͋4|m4纤$&N$3/LK d8rM_\2Q2cZ;d\ ayY/o+}Bwmxfߝalj㗗4׾ϴC{2߰cߟ2ηo-.h7o"{_;7{?\o-$|ŵ,N>_ov>rmw͔QkNƅ 19[6%gٲ"ou]Zu葹=5MIw"^s\ ͫZ[^R=֐wq0-!X>6LmM$&޼c9,Uamw9ގ &vQܝ6L>6>kmٞmv_6Mrl6mׁwmMFI޵MpNXmw9y44W6W4/z2h6 ,syy3Ih0smi>#bB|^F\OTOC5P@5loiR>tٖƐ.IznRd&ANO6$ pa2~4ыhKf&N6%8i 0|[:,%& 6ݩZcE7SWKu[@N>kbmKM829uI)cO qP-9p_̔YN'60볁CkG#Ajķ(FC,YKfJ1j# ]0G\)28uru%NGԑtЃ}Ў='9c }ЯIS[PpN_O, |1Ɓhd`1+ `!p=(>k9=qGFk B8Fp+όZV&BGND]ZzeON 49.r|5 0蠑7u;^j?,xwn_\^>?ѾD'[-^ 4Ǘ~Kc-D މG[e[ڹ^y*sX:Ёxr #m_,i N+#–}GZy?ƥC>! z#ζ8:ct?6E M08&^hMm= k5{h/ET|xJNChQv4smoȓy:_ra{ ?hLj#tW0ڢ/'vI;:mm ZiC}هcO;xtM&XwᲮZ $* [LJ`/ߡ{,aP9VVvӁT55*?ZFΟ{@VL@ zcb?Wg䴩tLo/xъ1-l!vp].ZEeu9x:+ƑHdue?+ QNK<-u'k҆~lO?z4xٖ2xچ0K([-|/ot(*in`ݝTWKG&:5Z+g}ln 6 jj.3ƨ ::?蠗OMo e”50ٱ?$d܍?ȆGFl~[{k"||Ƈ=șK>yI֦̔CFmN:a58xb࠳MIM:u @ OYuѱ߷tю{{chm{-zFQ=F5+ljxgXw&s.xn~j<쩸#+;- p#FX3rrLp#zS)?eIkZ쒾ن{M+x>h/pƷz޿خЮwv%?i=5s/d?-Fޔ-Y]_=boWrmYdȇGb zVQ脺|je #rf 8ɽQim:2cゖ=st|u&'g$&T{RGCS9 w< bKƓgqNDP`g8/a;Xe=lͻ+_Ed"AÒ'qEҢh#WQѷNbͥ_xQan'?k #;x9+F[E sFVYʹD ;Z2{Tj)e%!P])bWOԑ=uȐlI^KR:mu?A'O9I꿞Qׁ!0Rں_F[|m٧mk0jmCoٱCWy_/)7Gχ><%|*8\OIN}\C \3m8'0K<ő$t?nHPv}`}?^fj-:\͇o{$MsDt{j^Ā3rQv>CXJ+2/JY(7+ۓKy$2ptH~L섾ɟ> -eڀl8sx1&;)ES{]`8p~}@<9}p7D/D"֬=C;X^fޜݘqy rla0e0~B`5!q"IR9(OcW' 4i}0On-p@Ցmg Ƚ78I4$}`z>M󵎾_gYf_%j&"gբ5;[_a̝+Ns=re,-mnZlñ8i:~%I;6ב9>L> ZF7 Y3ܩ0'HaJʾ/c7҅Rd3᭖|kg{kL яrWD0u_󔎜C~G`c/Ҩ[sSvgf^/?^?S|f`khgwdMᾫ~F͟niʛ"ֻݖ9 eܕ0d}ORF@_HK/=S47Ǿ["'tܡ1~3=6k .7Mo<1"Yycd-q <3}² 3)Yȁy+' nmOz궑pu"_ e8U V?{]#}3Ew;\p+ڲk$pi{ r[P|;|}_8I:=kn 8q?##L=ul<6r,t~y:I5).:eckӟ&Kڞ9pڐ {L{|`;B;7 0F<G?l=gZt.crf>r@A^ *[s%I oC' :&W0w^ _#m~W9>~85}߿>ܕsc}z7:Ʈuw=Υ;_ǾI:yk9a2vμ]סxh<bgpag0~b<|iգsG&+[!7ij^l{sI?i'ߚXXﮙbuӚ殎~,};wVƙg)w418vs谁ͱlcwvlvT<{rQ׵{ě+#~}I ==2@.lשiTCoЩ'ru>(Cg;#1rm9߶uͣ_?m\Вھ%<Fɖ?> ߮HoNԿ]=+>|߮^}rԿ]Dڟwo߮D}]5~oα9ŗ?+B;[yvklrwRN ~\`eDZcw<=U9H />'p~9&+fwyg+WU{;deSnYkK+or?Ǿ/y=.ʯm!mN}gFuW m烛vSo~q6={벯#,Ó-cc rEUg);:8 sѦcqٞ9|iO?⡯hg[⠅q0eM|+ ́Ѿ67͸%*p,z㾖]aj;sIgey1^&0b4̅lIrI?wvon{÷oķ.{f}߶ɹ Ǝ5V`୛#[mGhW}ږTY`~oH_>)CC.攱s{l=خN?pG935Zs1.l3ZlH|dG~W[9;w#zNmu;y^$luu_th=9c>jۡ;6!}?<^0 PUV玃Rxgv,T~ϔQΣߗiƢ|# s%{Qah^II'޼nΣy}vy(25|_3+ǵXxy$;z_=9lm V|]{^9pe&\ 9K>:x=I…_=z 5ww--֘h6R,ˮvIsj.oQ !Qd8[ _r1>yưF;=dANr֔ۆvȕ!(j9G-iC^t_:a]罹]202򋴼-ƍ= { x/|z{;fjl sq>*Ha\ڏlg{Z'!|;rvW\Pi)5r>rK|eTJoǒ/ookϓ%\;MܐQM̐xpU#<4S̸~0>Ʌ v9pޗ#.u/<Z{*ɷ{n^y/0L |M3>}j]}wFɲ7 Lщ#y# lY)w /HeK[A>@6%Κ+:ɱc̅~[1α=L0Չ{~Ͽ3Qtou\;97w)rqs$!sP߹8c;s}۝v{ޒ+eia6 2"ve}\gFCDI ~?~;Yh|D*}!?l"WlGtYLG봧xFZSq|q1~ƃ=R^=x5YlC| f,,-67 ðóþò: {0,1} – óñòîé÷èâîå äâîè÷íîå ñîñòîÿíèå; X – ïåðåõîä ëèíèè â íåîïðåäåëåí- íîå çíà÷åíèå; Z – îáîçíà÷åíèå âûñîêîãî èìïåäàíñà äëÿ ëèíèé, êîòîðûå ìîãóò èìåòü òðè óñòîé÷èâûõ ñîñòîÿíèÿ; U – íåîïðåäåëÿåìîå çíà÷åíèå ïåðåìåííîé, ñâÿçàííîå ñ îòñóòñòâèåì äëÿ ìîäåëèðóåìîãî âõîäíîãî íàáîðà ñèñòåìû îòíîøå- íèé, ôîðìèðóþùèõ ñîñòîÿíèå ëèíèè. Ïîÿâëåíèå ñèìâîëà U åñòü ñëåäñòâèå íåïîëíîãî ÊÏ èëè íàëè÷èÿ â ñõåìå íîìåðà ëèíèè, êîòîðûì íå îòìå÷åíà íè îäíà ïåðåìåííàÿ â ìíîæåñòâå ïðèìèòèâîâ îáúåêòà. ×òîáû ïîâûñèòü áûñòðîäåéñòâèå âûïîëíåíèÿ óïîìÿíóòûõ îïåðàöèé, ñèìâîëû äâóõòàêòíîãî àëôàâèòà êîäèðóþòñÿ îäíîáàéòíûìè äåñÿòè÷íûìè ÷èñëàìè (0–22). Îòëè÷èå òàáëè÷íî-êîäîâîé îðãàíèçàöèè âû÷èñëåíèÿ îïåðàöèé îò âàðèàíòà ïîñëåäîâàòåëüíîñòè óñëîâíûõ îïåðàòîðîâ çàêëþ÷àåòñÿ â ðåàëèçàöèè çà îäèí ïðîãðàììíûé òàêò ëþáîãî ïåðåñå÷åíèÿ, îáúåäèíåíèÿ, êîíêàòåíàöèè ïóòåì íà- õîæäåíèÿ ñîäåðæèìîãî ÿ÷åéêè n-ìåðíîãî ìàññèâà ïî åãî èíäåêñàì. Òàêèì îáðà- çîì, ïðîãðàììíûå ñðåäñòâà îïåðèðóþò êîäàìè ñèìâîëîâ, íî ïðè ââîäå è âûâîäå íåîáõîäèìî èìåòü ïðåîáðàçîâàòåëè “ ñèìâîë-êîä ” è “ êîä-ñèìâîë ” äëÿ óäîáñòâà âîñïðèÿòèÿ èíôîðìàöèè ïîëüçîâàòåëåì. 4. Áóôåðíûé âåêòîð ìîäåëèðîâàíèÿ ïðåäíàçíà÷åí äëÿ ôîðìèðîâàíèÿ ïî âûõîäàì îáúåäèíåíèÿ íåïóñòûõ ðåçóëüòàòîâ ïåðåñå÷åíèé êîíêàòåíàöèè çíà÷å- íèé âåêòîðîâ ìîäåëèðîâàíèÿ M0,M1 ñ êàæäûì êóáîì ïîêðûòèÿ ïî ëèíèÿì, ñîîòâåòñòâóþùèì îáðàáàòûâàåìîìó ÏÝ. Ðàññìîòðèì ñõåìó àíàëèçà êóáà ïðèìèòèâà è ôîðìèðîâàíèÿ âûõîäíûõ çíà÷å- íèé ýëåìåíòà â áóôåðíîì âåêòîðå ìîäåëèðîâàíèÿ VB. Êàæäàÿ ñòðîêà ÊÏ èìååò ìíîæåñòâî âõîäíûõ è íåâõîäíûõ (âíóòðåííèõ è âûõîäíûõ) êîîðäèíàò. ×òîáû îíà ó÷àñòâîâàëà â ôîðìèðîâàíèè ñîñòîÿíèÿ âûõî- äîâ, íåîáõîäèìà åå íåïðîòèâîðå÷èâîñòü ïî âõîäíûì, à òàêæå ïî íåâõîäíûì êîîðäèíàòàì â ìîìåíò t (âåêòîð M1), êîòîðûå îïðåäåëÿþò ïðåäûäóùåå ñîñòîÿíèå àâòîìàòà. Ïðîöåäóðà àíàëèçà êóáà ïî âñåì êîîðäèíàòàì: 1) Êîíêàòåíàöèÿ ñîñòîÿíèé î÷åðåäíîé âõîäíîé êîîðäèíàòû ÏÝ, âûáðàííûõ èç âåêòîðîâ ìîäåëèðîâàíèÿ. 2) Âûïîëíåíèå îïåðàöèè ïåðåñå÷åíèÿ ìåæäó ðåçóëüòàòîì êîíêàòåíàöèè è âõîäíîé êîîðäèíàòîé ðàññìàòðèâàåìîãî êóáà. 3) Åñëè ïåðåñå÷åíèå ïóñòî, âûïîëíÿåòñÿ ïåðåõîä ê àíàëèçó ñëåäóþùåãî êóáà (i=i+1).  ïðîòèâíîì ñëó÷àå ðàññìàòðèâàåòñÿ î÷åðåäíàÿ âõîäíàÿ êîîðäèíàòà (j=j+1) àíàëèçèðóåìîé ñòðîêè. 4) Åñëè ïî âñåì âõîäíûì êîîðäèíàòàì êóáà çàôèêñèðîâàíî íåïóñòîå ïåðåñå÷å- íèå, âûïîëíÿåòñÿ ïåðåõîä ê àíàëèçó íåâõîäíûõ êîîðäèíàò, äëÿ ÷åãî ðåàëèçóåòñÿ êîíêàòåíàöèÿ ñîñòîÿíèÿ î÷åðåäíîé íåâõîäíîé ëèíèè M1 j ñ ñèìâîëîì ïóñòîãî ìíîæåñòâà, êîòîðûé çäåñü ðàâåí X. 5) Ïåðåñå÷åíèå êîíêàòåíàöèè ñ î÷åðåäíîé íåâõîäíîé êîîðäèíàòîé àíàëèçèðó- åìîãî êóáà ïîêðûòèÿ. Ðåçóëüòàò íåïóñòîãî ïåðåñå÷åíèÿ çàíîñèòñÿ â ñîîòâåòñòâó- þùóþ ïîçèöèþ áóôåðà VB j . 6) Åñëè ðåçóëüòàò ïðåäûäóùåé îïåðàöèè ïóñò, îñóùåñòâëÿåòñÿ ïåðåõîä ê àíàëèçó î÷åðåäíîãî êóáà ïî âõîäíûì ëèíèÿì (i=i+1). Èíà÷å – àíàëèç íåâõîäíîé êîîðäèíàòû (j=j+1). 7) Åñëè ïî âñåì ñîñòîÿíèÿì íåâõîäíûõ ëèíèé çàôèêñèðîâàíî íåïóñòîå ïåðåñå- ÷åíèå, âûïîëíÿåòñÿ ïîêîîðäèíàòíîå îáúåäèíåíèå ïîëó÷åííûõ â áóôåðå çíà÷å- íèé âíóòðåííèõ è âûõîäíûõ ïåðåìåííûõ ÏÝ ñ ñîñòîÿíèÿìè ñîîòâåòñòâóþùèõ ëèíèé âåêòîðà ìîäåëèðîâàíèÿ M2 ñ çàïèñüþ ïîëó÷åííîãî ðåçóëüòàòà â óïîìÿíó- òûé âåêòîð. Èëëþñòðàöèåé âûïîëíåíèÿ ïðîöåäóðû àíàëèçà êóáîâ ïîêðûòèÿ ïðèìèòèâîâ (ñì. ðèñóíîê) ìîæåò ñëóæèòü ðåçóëüòàò ìîäåëèðîâàíèÿ îòäåëüíûõ âõîäíûõ íàáîðîâ, ïðåäñòàâëåííûõ â òàáëèöå.  ïðèìåðå ìîäåëèðîâàíèÿ âåêòîð M01 åñòü êîíêàòåíàöèÿ äâóõ ïðåäûäó- ùèõ ïî âñåì êîîðäèíàòàì; áóôåðíûå âåêòîðû Bi (VBi) ïîëó÷àþòñÿ â ðåçóëüòàòå ïåðåñå÷åíèÿ êóáà C i ñ âåêòîðîì M01 ïî ïðàâèëàì îïåðàöèè ïåðåñå÷åíèÿ; M12 *x{lTEt8DN0iV>S+}y]ly8u'>&cOl;xS3];7A~Iħ_/ħ|??_jd×^c1(vijJVTA#v~;TO'8=Q{8?:Pe*= v'0CvRD"8"*B"Y -qQQD.Bqny`4v|ld_JJcφWv8w~΂}wwU;X !ߧ -)x%1_rxGan g_`? ǁ-wu.s ^ *jaO)߁6c.Gg _kW֕R#y.pcMhT%JRϏ 8w<Ğz4@l.31r 3;Nx>\ sǦ)"K3yNGAÛ7=l[T)?ϠOkO5t_g; ] #;[ʺKY5rl^ayL7&ރ6bsT@>Z.Q1}I|w2̽}'geѳ3f ܅w9ȳS(#x< ~[ث؛T癰hw`!֪,Pp;o#Kw5`p%vx;5,>J^] j?J3qu~ϞrƖ^]"mg4|O޻-wD~[`n7So;$[zN8I%ڙjHljrulyS/'34ɵfOcjNrS99jNbtXI OXw\7[7vrmbҭ{L9fpj nL\3M:ħǜV6qjʩ\ϜKuUUUUUUUUUUUU_ƺ?WWWWWWWWWWEMicrosoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:27  (D  (162/3.1(bH{x ygɰ, H]!,h$@H+G: 8G>vuC 6q!琘ƴ Qqƍbd`w%$FBQwwJ))F3<<3IN_Q:\|Q`?٭4UiRRCIux"e'H3EŻrM_D Y40(?(3f%q^,PXl?qRܯw{ūB~٧-^qzX?bS|ze\M7]rѧ]WRAV>F__|)H˽XƤ}pb8$07MJ<=OJG=oO/J?:rT[|$Mm[y4o^&##~GV' ak19 }Eaݭ:*" +P]%ݫ6œT:KIYg%?W6w;xiLGN2ʹ9@}0u%rG6N 9 ?NQ;Ui@KhfXz2dJCE'hiVy˸zF2>^hrwNeW>I_#|Eo}!5x>á.0CcXV%,ցy`9ͤ~f=eïJ n4zrJ}wHݾMtGڦI.q[wy8b6" $#^»w.r7zD˕΀ R7`mrz訃iC{!w;BnK-:oB:uH3dv쎨;CGbcVbv'ň7euCe. iO˜1>C<1WtNQޥ6YWVi?]X}с2C)LJX0t_GFЦa왷jVўpvm"*׏=yfy‰r-7ƯpM/m\vwXz3&*TdTl%94 TTя_}fsw<1|w09}/Vǧ ,"|||?;6?f:ږf͜9ttUtTI?w ]Y'BLTWO8uz٢9\G7;wnaFCnVFQ8A0R^ 'ho40{:/>랦p=+9@P-]7~@-kcX/o0mmG "zKW`!lxA#> %>vZ!~J<7&smq}{Zv]zJ=nzi@uJk5oFg O /WݧFI]'u%/,5̇)-PO$轈6fS蛹CrxAUr/x>d=|1Ӏ% =h =1: vܻKY3Į3dř>O 4: ldIB?肽& d<ەܞ8hsИ^అϯ PgV!:=(^awFmh._V t aᎦ/ ]0vd'ge0x2)lC[(-H1r`O+BBuSJ-Lg~NR#Qq3xkl[p*;й} ,e33Kӎ:-eӸ tnm\?}B:)7Oa'^=aMS?02?|^;t`ҍ 0n˕˖/rdDOqYWЁsN8oz em :+l(tzN_X[7w'p^';-]6Qq#r`DoN=*#g0v@K9 GYw֕:3wbO 3I͵:U죂+埴><$ kNw :ڊ#YN"mMom]"7H3 i=ܭѩ}Xx>[ieӑ['n/t:RQ6/aY+jƉ_)+v!I1P&r3?V?ߗw`z{J=gd~iHؚ5$쓿Cw i~rv Nu$wx[Y9>e{zOlWmg;io6}て <C^63<0ޔdO ;c-7BJ~~f6*sݴ#&ڼ(/&do{Yc xV?3hK#}38zgop^B7AzN?8ͼtۼ(Ó:eۍDx2^y;p=6rn^0๾+~}a*l[į Xy_5Ofdz^*=&"SJO^߾޾5$ezH ymyЯ-{trয3a#ڛd74N)Ç -pʌsZQ?ӒC }(XiBw1e~^foO [+i+&k3ٗc b(+& <텝VC5@' +6Z"x Iu:Y# l/^BNU"_g^l;Ɠйi)3n:V947#jy<>{~0'T|]N^|Ws)]Mrc꟤w5U>ڻ|'W4I~Gw5yW]M-qΜKF1Ҝ`<W?_+kμh?*Q'Y3swՍYf]1 G|3!VyE أЎo=\+in2{|3dbވݦXN;6S}i^an Z78҆2HM>p|W.7d%vsoY;cߨقܺ<#+um_:yum k:͓/K196c6 v`u(\=Z-.בkr[sF\_SO֋uۑ9nЩ\)ky9OP7O'\'&L %&gN M;iG?v~®2eӮů 7ZLMOXmfzM>g8i6dX9Atb};^Ѓ2zteЧP?39d{I92OYiz|Ň UlWݢ7.ڿZwǂϴf;w*˾[i7rh{Y/9fy.[9/'߿:ozAur,  h-y+1dދ9K],_&ouJْ2o,z4*3vu|B_PR}N|1>'"ޔM;B>|tؾ苶V]ض֋hoz-v :hxc`8 ehFۏ0>|]썟`cg[A'r?V!քtگХ79Uy/b]+8錘;`Y֏cu(crohis8ȩ#Ǿ1c6 478voeƸW`S^8s'9UkP=rn瀬> {tLғ־ȇ|r]S Gj?v#nuvCUv;R8}%ֻ)=z &n[)q~;/^wozԱκB 5N8O㧌A/G޺_-x 0>闳 o^R+>g]˄{.||=1/+#ޙ`xG[8j|sLyL}_o|?;JJg3Ͷbo g(ȊW8d6 0|iȃT sqA7\߶Fp[{Dw(ݪ^K rKu2%Z|Oȩ3fAqh+"Ȉ_A6E2{~Oܒb~ 2ӾN5$M ~nRj[},/d ZP?<)#p툌CYY@bZOL־9u!Wm=#X`9E%QTfyC~ -};456m_>(̊RX~VA~hZ\5{ &?ck3>g0pA:C5}Q&ٗy\%`$̼n*bBO[enкꔁ:ꌓ8h=ρ!_,Kgwsq~u0g|N+` HcA#PĦ}ZڋOI[7:.Ri>m0E!|4ϡ)3hJV䴥#cO{xQѫ2&A\\媶#X.=!naCRdmbIoc2;-NL[cV$Y.|2 s7+0Y Yrݹ r;2xll[ yXr7px V&_jmom Mnp73C8ٜ#1z2c#}ZcblwW c] PB۠wNIL* 睑ϐYf[RsurSؙz0"/{oD?)Acw[0)/ZP: v&jh~$w{X~C6_L?'%^< nle{4f'3+݄[oS56tKEn3zƴCg]BGpM54ӊd=?''Q8 y簪A[Ͻq*/V_̽߯|Z&>Ƿ6ʪ+%yD:Kb y8#J1]|j/ 'X8n[nY{Z u񷻓ضkFVehCC[r <;6Ж:m|g w?~HSt{yn[][+aKx U^orf%}=:ߤc/xoRITy#rHp8ęT,t_^Mf]O/衱 (u}C_<ͳ{":Uwm~>I0WGyfH'E43+ި_dc#'> D8 }4=G Z%i9TPrur~A8VnzsnҷvJ|7KHE9# !9!3u)[3uN*]LY': Hϖۨ_H<'mQTkgy7JCqTE^%Ə<} }sEOhN /h/9<\7j_@r)Wm\"ؕ+I{Y0=eVCxwIvdp:NLlY& 5OU[|gc]'뗜: #KVyB'xriJ/{L1лyzn#OnÐ8_osߖ|ܧcu>Z8nL8﮲lVJyxvU1(,=<!>Xȋ.OAk7 tUUުʆYG=hs5V!k7NG+?o='חt/o zf~Ա"o7wGy]!|OƈGij[7~t:1$+caf71o ۚdQ~‘ng)&Pȇ/F M(+r둺n>nci' 􏏠wp/ a?azпP:~r{SW]/]T 7ZL4 -zhgVEiۢ _o-(m(43嘊+MW$[-gD,eߐtBOvB7W}\jfnB[{"n,O$G'tKN: k*]!- rtBut-XP,ƞX%9:C::USQG*{Gy]G5th}xCo=y>gƎon8z-okG]Ss5 ׈+^+83AIO[9'oeh⏬pFsF8hM]S4tք [ESkT?yғRށwOzg^zt͞y>>o|gWnoghڼ^|py' 1z͚po?&%'(5 ;fH\wܧLQ?;(+k.j!侉뾩LV?3vӠM͇=f/hX;oO=F7 o7߻oB˕i8:c yqaY:бWoKqiWܯ5%rrp kнy򫙚po7ǡxNV$>e<'w@w7!oݽO&}rMQwq7!G'>o7Uǡ(ּy=Z5`<˾G_s(߯W71VZ_}Ya&']K~4MBZ}7LX1|g;r}s2cI]/egxo,,68 ðàâåí âåêòîðó M1 ïî âõîäàì è ìíîæåñòâó M2 âû÷èñëåííûõ èñòèííûõ çíà÷åíèé – ïî âûõîäàì. Åñëè íà ëèíèþ íàãðóæåíî íåñêîëüêî âûõîäîâ ÏÝ, ðåçóëüòàò îïðåäåëÿåòñÿ îáúåäèíåíèåì ñîñòîÿíèé âûõîäíîé ïåðåìåííîé â âåêòîðå M2, ïîëó÷åííûõ ïðè àíàëèçå ñîîòâåòñòâóþùèõ ïîêðûòèé. Îáúåäè- íåíèå ðåçóëüòàòîâ ìîäåëèðîâàíèÿ äàåò: ) 1000 ( ) 1000 ( ) Z 100 ( 2 M 1 M 12 M      . Îïèñàííûå ïðîöåäóðû àíàëèçà ïðèìèòèâîâ è ñõåì îðèåíòèðîâàíû íà ìàêñèìàëüíîå ïðèáëèæå- íèå ïðîåêòèðóåìûõ ìîäåëåé ê ñõåìîòåõíè÷åñêèì îñîáåííîñòÿì ìèêðîñõåì è öèôðîâûõ îáúåêòîâ â öåëÿõ íàõîæäåíèÿ ðûíêà ïîëüçîâàòåëåé ïðîãðàìì- íûìè ñðåäñòâàìè ìîäåëèðîâàíèÿ â ñðåäå ðàçðàáîò÷èêîâ ðàäèîýëåêòðîííîé àïïà- ðàòóðû. Ïðè ìîäåëèðîâàíèè íåèñïðàâíîñòåé àëãîðèòì îðèåíòèðóåòñÿ íà íàáëþäàåìûå ëèíèè, êîòîðûå ìîãóò áûòü êàê âõîäíûìè, òàê è âíóòðåííèìè èëè âûõîäíûìè. Èäåíòèôèêàöèÿ íàáëþäàåìûõ ïåðåìåííûõ íåîáõîäèìà òàêæå äëÿ âûïîëíåíèÿ ïðîöåäóð ãåíåðàöèè òåñòîâ, îðãàíèçàöèè è ïðîâåäåíèÿ äèàãíîñòè÷åñêîãî ýêñïå- ðèìåíòà. Åñòåñòâåííî, ÷åì áîëüøå òàêèõ ëèíèé, òåì ïðîùå ïðîöåäóðû àíàëèçà ÖÓ, íî äîðîæå óñòðîéñòâî èç-çà óâåëè÷åíèÿ ÷èñëà âûâîäîâ íà âíåøíåì ðàçúåìå. 6. Âûâîäû Ïðåäëîæåíû êîíöåïòóàëüíûå è ôîðìàëüíûå ìîäåëè ïðèìèòèâíûõ ýëåìåíòîâ â âèäå U-àâòîìàòà ïðåäñòàâëåíèÿ êîìáèíàöèîííûõ è ïîñëåäîâàòåëüíîñòíûõ ñõåì, çàäàâàåìûõ êóáè÷åñêèìè ïîêðûòèÿìè â îäíî- è äâóõòàêòíîì òåîðåòèêî- ìíîæåñòâåííûõ àëôàâèòàõ, ïîçâîëÿþùèå àäåêâàòíî ðåøàòü çàäà÷è ïðÿìîé è îáðàòíîé èìïëèêàöèé â òðîè÷íîì àëôàâèòå ìîäåëèðîâàíèÿ ñîñòîÿíèé ëèíèé. Îïðåäåëåí òðåõòàêòíûé S-àâòîìàò ëîãè÷åñêîãî ñèíõðîííîãî ìîäåëèðîâàíèÿ öèôðîâûõ óñòðîéñòâ, èìåþùèõ êàê ãëîáàëüíûå îáðàòíûå ñâÿçè, òàê è ñèíõðîâ- õîäû äëÿ ïîñëåäîâàòåëüíîñòíûõ ïðèìèòèâîâ. Îí ïîçâîëÿåò èñêëþ÷èòü â ìîäåëè ïñåâäîâõîäíûå ïåðåìåííûå, ñâÿçàííûå ñ ðàçðûâîì îáðàòíûõ ñâÿçåé â öåëÿõ ïðèáëèæåíèÿ ìîäåëè ê ðåàëüíîé ñòðóêòóðå ôóíêöèîíàëüíîãî áëîêà. Ïðåäëîæåíû ôîðìàëüíûå ïðîöåäóðû îáðàáîòêè ÏÝ è ñèíõðîííûé ñîáûòèé- íûé, èòåðàòèâíûé àëãîðèòì ìîäåëèðîâàíèÿ èñïðàâíîãî ïîâåäåíèÿ ÖÓ íà îñíîâå àíàëèçà êóáè÷åñêèõ ïîêðûòèé, ïîçâîëÿþùèé îáðàáàòûâàòü òðîè÷íûå âõîäíûå òåñò-âåêòîðû. Îïèñàíû îñîáåííîñòè òåîðåòèêî-ìíîæåñòâåííîãî àíàëèçà òèïè÷íûõ ôóíêöèî- íàëüíûõ ïðèìèòèâîâ â öåëÿõ îïðåäåëåíèÿ ñîñòîÿíèé âûõîäîâ íà îñíîâå èñïîëü- çîâàíèÿ êóáè÷åñêèõ ïîêðûòèé è óñëîâèé íà âõîäíûõ êîîðäèíàòàõ. Ñïèñîê ëèòåðàòóðû : 1. Õàõàíîâ Â.È. Òåõíè÷åñêàÿ äèàãíîñòèêà ýëåìåíòîâ è óçëîâ ïåðñî- íàëüíûõ êîìïüþòåðîâ. Ê.: IÇÌÍ. 1997. 308 ñ. 2. Áîíäàðåíêî Ì.Ô., Êðèâóëÿ Ã.Ô., Ðÿáöåâ Â.Ã., Ôðàäêîâ Ñ.À., Õàõàíîâ Â.È. Ïðîåêòèðîâàíèå è äèàãíîñòèêà êîìïüþòåðíûõ ñèñòåì è ñåòåé. Ê.:ÍÌÖÂÎ. 2000. 306 ñ. 3. Breuer M.A., Friedman A.D. Diagnosis and reliable design of digital system. Woodlound wills, Computerscience press inc., 1976. 308p. 4. Àâòîìàòèçèðî- âàííîå ïðîåêòèðîâàíèå öèôðîâûõ óñòðîéñòâ / Ñ.Ñ.Áàäóëèí, Þ.Ì.Áàðíàóëîâ è äð./ Ïîä ðåä. Ñ.Ñ. Áàäóëèíà. Ì.: Ðàäèî è ñâÿçü, 1981. 240ñ. 5. Áàðàíîâ Ñ.È., Ìàéîðîâ Ñ.À., Ñàõàðîâ Þ.Ï., Ñåëþòèí Â.À. Àâòîìàòèçàöèÿ ïðîåêòèðîâàíèÿ öèôðîâûõ óñòðîéñòâ. Ë.: Ñóäîñòðî- åíèå, 1979. 264ñ. 6. Àâòîìàòèçàöèÿ äèàãíîñòèðîâàíèÿ ýëåêòðîííûõ óñòðîéñòâ / Þ.Â.Ìà- ëûøåíêî è äð./ Ïîä ðåä.Â.Ï.×èïóëèñà.Ì.: Ýíåðãîàòîìèçäàò, 1986. 216ñ. 7. Áåííåòòñ Ð.Ä. Ïðîåêòèðîâàíèå òåñòîïðèãîäíûõ ëîãè÷åñêèõ ñõåì: Ïåð.ñ àíãë. Äåðáóíîâè÷à Ë.Â. Ì.: Ðàäèî è ñâÿçü, 1990. 176ñ. 8. Áîãîìîëîâ À.Ì., Ñïåðàíñêèé Ä.Â. Àíàëèòè÷åñêèå ìåòîäû â çàäà÷àõ êîíòðîëÿ è àíàëèçà äèñêðåòíûõ óñòðîéñòâ. Ñàðàòîâ: Èçä-âî Ñàðàò. óí-òà, 1986. 240ñ. Ïîñòóïèëà â ðåäêîëëåãèþ 23.12.2000 Õàê Õ.Ì. Äæàõèðóë , àñïèðàíò êàôåäðû àâòîìàòèçàöèè ïðîåêòèðîâàíèÿ âû- ÷èñëèòåëüíîé òåõíèêè ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: òåõíè÷åñêàÿ äèàãíîñòèêà è ìîäåëèðîâàíèå öèôðîâûõ ñèñòåì. Óâëå÷åíèÿ: èíîñòðàííûå ÿçûêè. Àäðåñ: Óê- ðàèíà, 61166, Õàðüêîâ, ïð. Ëåíèíà, 14, òåë. 40-93-26. 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Ïðîâåðêà äîñòèæåíèÿ êðèòåðèÿ ñõîäèìîñòè. Êðèòåðèÿìè ñõîäèìîñòè îáû÷íî ÿâëÿþòñÿ çàäàííîå çíà÷åíèå ôóíêöèè ïðèñïîñîáëåííîñòè ëèáî çàäàííîå êîëè÷åñòâî èòåðàöèé. Åñëè êðèòåðèé ñõîäèìîñòè äîñòèãíóò, òî ðàáîòà àëãîðèòìà çàâåðøàåòñÿ. 4. Îòáîð èíäèâèäóóìîâ – êàíäèäàòîâ â íîâóþ ïîïóëÿöèþ. 5. Ñîçäàíèå íîâîé ïîïóëÿöèè èíäèâèäóóìîâ ìåòîäàìè âîñïðîèçâîäñòâà èíäè- âèäóóìîâ. 6. Ïåðåõîä ê øàãó 2, íà ñëåäóþùèé óðîâåíü èòåðàöèè.  íàñòîÿùåå âðåìÿ ñóùåñòâóåò äâà îñíîâíûõ âûñîêîóðîâíåâûõ ìåòîäà â ýâîëþöèîííûõ âû÷èñëåíèÿõ: òðàäèöèîííûé, îñíîâàííûé íà ïîëíîé ñìåíå ïîêî- ëåíèé (generational), è íîâûé – óñòàíîâèâøèõñÿ ïîêîëåíèé (steady-state)[5]. Ìåòîä ñìåíû ïîêîëåíèé õàðàêòåðèçóåòñÿ ñëåäóþùèìè îñîáåííîñòÿìè. Íà- ÷àëüíàÿ ïîïóëÿöèÿ èíäèâèäóóìîâ ñîçäàåòñÿ ñëó÷àéíûì îáðàçîì, ïîñëå ÷åãî âû÷èñëÿåòñÿ ïðèñïîñîáëåííîñòü êàæäîãî èíäèâèäóóìà ïîïóëÿöèè. Ëó÷øèå èí- äèâèäóóìû îòáèðàþòñÿ äëÿ ðàçìíîæåíèÿ, ôîðìèðóÿ íîâóþ ïîïóëÿöèþ. Íîâàÿ ïîïóëÿöèÿ çàìåíÿåò ñòàðóþ, è ñíîâà âû÷èñëÿåòñÿ çíà÷åíèå ïðèñïîñîáëåííîñòè èíäèâèäóóìîâ. Ïðîöåññ ïîâòîðÿåòñÿ äî òåõ ïîð, ïîêà íå áóäåò ïîëó÷åí èíäèâè- äóóì ñ æåëàåìûìè õàðàêòåðèñòèêàìè (íàèâûñøèì çíà÷åíèåì ïðèñïîñîáëåííîñ- òè) ëèáî áóäóò èñ÷åðïàíû âñå äîñòóïíûå ðåñóðñû. Ìåòîä óñòàíîâèâøèõñÿ ïîêîëåíèé èñïîëüçóåò òå æå îñíîâíûå øàãè, ÷òî è ìåòîä ñìåíû ïîêîëåíèé. Îòëè÷èå ñîñòîèò â òîì, ÷òî â íîâóþ ïîïóëÿöèþ ïîìåùà- þòñÿ êàê âíîâü ñîçäàííûå èíäèâèäóóìû, òàê è èíäèâèäóóìû èç ñòàðîé ïîïóëÿ- öèè. Èíäèâèäóóìû – “ ðîäèòåëè ” ñîñóùåñòâóþò â íîâîé ïîïóëÿöèè âìåñòå ñ èíäèâèäóóìàìè – “ äåòüìè ” . 2. Ìåòîäû âîñïðîèçâîäñòâà èíäèâèäóóìîâ Ïðîöåññ îòáîðà èíäèâèäóóìîâ â íîâóþ ïîïóëÿöèþ âêëþ÷àåò â ñåáÿ öèêëè÷åñ- êîå ïîâòîðåíèå ñëåäóþùèõ òðåõ øàãîâ: – îòáîð îäíîãî èëè äâóõ èíäèâèäóóìîâ èç ñòàðîé ïîïóëÿöèè, – ìîäèôèêàöèÿ îòîáðàííûõ èíäèâèäóóìîâ, – äîáàâëåíèå ðåçóëüòàòîâ ìîäèôèêàöèè ê íîâîé ïîïóëÿöèè.  íàñòîÿùåå âðåìÿ èñïîëüçóþòñÿ øåñòü ìåòîäîâ âîñïðîèçâîäñòâà èíäèâèäóó- ìîâ[5] – òðè îñíîâíûõ: ðåïðîäóêöèÿ, êðîññèíãîâåð è ìóòàöèÿ, à òàêæå òðè èõ êîìáèíàöèè: êðîññèíãîâåð è ìóòàöèÿ, êðîññèíãîâåð ñî ñëó÷àéíûì èíäèâèäóóìîì è îòáîð îäíîãî ïîòîìêà â ðåçóëüòàòå êðîññèíãîâåðà. Ìåòîä ðåïðîäóêöèè èíäèâèäóóìîâ ïðåäóñìàòðèâàåò ïðîñòîå êîïèðîâàíèå èíäèâèäóóìà èç ñòàðîé ïîïóëÿöèè â íîâóþ. Ìåòîä êðîññèíãîâåðà îñíîâûâàåòñÿ íà ñêðåùèâàíèè õðîìîñîì äâóõ îòîáðàí- íûõ èç ñòàðîé ïîïóëÿöèè èíäèâèäóóìîâ (â îáùåì ñëó÷àå â íåêîòîðîé ñëó÷àéíîé òî÷êå êðîññèíãîâåðà).  íîâóþ ïîïóëÿöèþ ïîìåùàþòñÿ îáà ïîëó÷èâøèõñÿ èíäè- âèäóóìà. Ìåòîä ìóòàöèè ïðåäïîëàãàåò ñëó÷àéíîå èçìåíåíèå îäíîãî èç ýëåìåíòîâ ãåíî- ìà èíäèâèäóóìà, ïîñëå ÷åãî ìîäèôèöèðîâàííûé èíäèâèäóóì ïîìåùàåòñÿ â íîâóþ ïîïóëÿöèþ. Ìåòîä êðîññèíãîâåðà è ìóòàöèè ïðåäóñìàòðèâàåò îòáîð äâóõ èíäèâèäóóìîâ èç ñòàðîé ïîïóëÿöèè, èõ ñêðåùèâàíèå è ìóòàöèþ êàæäîãî èç ïîëó÷èâøèõñÿ èíäèâèäóóìîâ.  íîâóþ ïîïóëÿöèþ ïîìåùàþòñÿ îáà èíäèâèäóóìà. Ìåòîä êðîññèíãîâåðà ñî ñëó÷àéíûì èíäèâèäóóìîì ïðåäíàçíà÷åí äëÿ äîáàâ- ëåíèÿ íîâîãî ãåíåòè÷åñêîãî ìàòåðèàëà â ïîïóëÿöèþ.  ñîîòâåòñòâèè ñ ýòèì ìåòîäîì âûïîëíÿåòñÿ ñêðåùèâàíèå äâóõ èíäèâèäóóìîâ: îòîáðàííîãî èç ñòàðîé ïîïóëÿöèè è ñëó÷àéíûì îáðàçîì ñãåíåðèðîâàííîãî. Èç ïîëó÷èâøèõñÿ â ðåçóëü- òàòå ñêðåùèâàíèÿ äâóõ èíäèâèäóóìîâ îäèí ïîìåùàåòñÿ â íîâóþ ïîïóëÿöèþ, à âòîðîé îòáðàñûâàåòñÿ. Ìåòîä îòáîðà îäíîãî ïîòîìêà â ðåçóëüòàòå êðîññèíãîâåðà ìîäåëèðóåò ïîâå- äåíèå îñîáåé â æèâîé ïðèðîäå. 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Ìåòîäû îòáîðà èíäèâèäóóìîâ Îòáîð èíäèâèäóóìîâ S k â ýâîëþöèîííûõ âû÷èñëåíèÿõ âûïîëíÿåòñÿ â ñîîòâåò- ñòâèè ñî çíà÷åíèåì ôóíêöèè ïðèñïîñîáëåííîñòè f ( S k ); k = 1,..., n; n - ðàçìåð ïîïóëÿöèè. Çíà÷åíèå ôóíêöèè f ( S k ) â áîëüøèíñòâå ñëó÷àåâ ïðåäñòàâëÿåò ñîáîé ÷èñëî ñ ïëàâàþùåé òî÷êîé, êîòîðîå îòðàæàåò óðîâåíü óñïåõà êàæäîãî èíäèâèäó- óìà â ðåøåíèè ïîñòàâëåííîé çàäà÷è.  êà÷åñòâå ïðèìåðà ìîæíî ïðèâåñòè ñòàíäàðòèçîâàííóþ ïðèñïîñîáëåííîñòü f i s [5], îïðåäåëåííóþ íà èíòåðâàëå [0; +  ), ãäå 0 ïðåäñòàâëÿåò ñîáîé îïòèìàëüíîå, à  – çíà÷åíèå õóäøåå, ÷åì íàèõóäøåå èç âñåõ âîçìîæíûõ çíà÷åíèé ïðèñïîñîáëåííîñòè. Íîðìàëèçîâàííàÿ ïðèãîäíîñòü s i a i f f   1 1 ïðåîáðàçóåò çíà÷åíèÿ ïðèãîäíîñòè â èíòåðâàë (0; 1], ãäå 0 – çíà÷åíèå ïðèãîäíî- ñòè õóæå, ÷åì õóäøåå èç âîçìîæíûõ, à 1 – îïòèìàëüíîå çíà÷åíèå. Ñóùåñòâóþò ñëåäóþùèå ìåòîäû îòáîðà èíäèâèäóóìîâ: 1) îòáîð ïðîïîðöèîíàëüíî çíà÷åíèþ ôóíêöèè ïðèãîäíîñòè, 2) ðàíæèðîâàííûé îòáîð, 3) òóðíèðíûé îòáîð, 4) îòáîð íà îñíîâå óñå÷åíèÿ, 5) ìíîãîêðèòåðèàëüíûé îòáîð. Ìåòîä îòáîðà ïðîïîðöèîíàëüíî çíà÷åíèþ ôóíêöèè ïðèãîäíîñòè áûë ïðåäëî- æåí â ðàáîòå [2].  ñîîòâåòñòâèè ñ ýòèì ìåòîäîì âûïîëíÿåòñÿ íîðìàëèçàöèÿ çíà÷åíèé ôóíêöèè ïðèñïîñîáëåííîñòè äëÿ âñåõ èíäèâèäóóìîâ ïîïóëÿöèè. Ýòè íîðìàëèçîâàííûå çíà÷åíèÿ èñïîëüçóþòñÿ â êà÷åñòâå âåðîÿòíîñòåé ïðè îòáîðå èíäèâèäóóìîâ â íîâóþ ïîïóëÿöèþ.  ñîîòâåòñòâèè ñ ìåòîäîì ðàíæèðîâàííîãî îòáîðà [6] èíäèâèäóóìû ñîðòèðó- þòñÿ â ñîîòâåòñòâèè ñî çíà÷åíèåì èõ ïðèãîäíîñòè. Çàòåì êàæäûé èíäèâèäóóì îòáèðàåòñÿ ñ âåðîÿòíîñòüþ, îñíîâàííîé íà íåêîòîðîé ëèíåéíîé ôóíêöèè îò îòñîðòèðîâàííîé ïîñëåäîâàòåëüíîñòè. Ìåòîä òóðíèðíîãî îòáîðà îñíîâàí íà ñëó÷àéíîì âûáîðå èç ïîïóëÿöèè ïóëà èç n èíäèâèäóóìîâ, ïðè÷åì èíäèâèäóóìû ìîãóò îòáèðàòüñÿ â ïóë çà íåñêîëüêî ðàç. Çàòåì èç ïóëà îòáèðàåòñÿ â íîâóþ ïîïóëÿöèþ èíäèâèäóóì ñ íàèâûñøèì çíà÷å- íèåì ôóíêöèè ïðèñïîñîáëåííîñòè [5].  ñîîòâåòñòâèè ñ ìåòîäîì îòáîðà íà îñíîâå óñå÷åíèÿ èç ïîïóëÿöèè îòáèðàåòñÿ òîëüêî çàäàííîå êîëè÷åñòâî ëó÷øèõ èíäèâèäóóìîâ. Êàæäàÿ èç îòîáðàííûõ îñîáåé èñïîëüçóåòñÿ äëÿ ñîçäàíèÿ èíäèâèäóóìîâ ñëåäóþùåãî ïîêîëåíèÿ [3].  íàñòîÿùåå âðåìÿ ñóùåñòâóåò òðè ïîäõîäà ê ìíîãîêðèòåðèàëüíîìó îòáîðó â çàäà÷àõ ýâîëþöèîííîãî ìîäåëèðîâàíèÿ [7]: – îòáîð ïî êðèòåðèÿì, – àãðåãàòèâíûé îòáîð, – îòáîð ïî Ïàðåòî.  ñîîòâåòñòâèè ñ ïåðâûì ïîäõîäîì ïåðåêëþ÷åíèå ìåæäó êðèòåðèÿìè âûïîë- íÿåòñÿ âî âðåìÿ ôàçû îòáîðà. Êàæäûé ðàç, êîãäà î÷åðåäíîé èíäèâèäóóì âûáèðà- åòñÿ äëÿ ðåïðîäóêöèè, âûïîëíÿåòñÿ îòáîð ïî èíîìó êðèòåðèþ. Àãðåãàòèâíûé îòáîð îñíîâàí íà òðàäèöèîííîì ïîäõîäå ê çàäà÷àì ìíîãîêðèòå- ðèàëüíîé îïòèìèçàöèè, â ñîîòâåòñòâèè ñ êîòîðûì ðàçëè÷íûå êðèòåðèè îáúåäè- íÿþòñÿ â åäèíóþ ïàðàìåòðèçîâàííóþ ôóíêöèþ. Ïàðàìåòðû ðåçóëüòèðóþùåé ôóíêöèè ñèñòåìàòè÷åñêè èçìåíÿþòñÿ âî âðåìÿ ìîäåëèðîâàíèÿ äëÿ òîãî, ÷òîáû íàéòè îïòèìàëüíîå ïî Ïàðåòî ðåøåíèå. Îòáîð ïî Ïàðåòî îñíîâàí íà ïðÿìîì èñïîëüçîâàíèè îòíîøåíèÿ äîìèíèðîâà- íèÿ. Ñ÷èòàåòñÿ, ÷òî îäèí èíäèâèäóóì äîìèíèðóåò íàä âòîðûì, åñëè îí ïðåâîñõî- äèò âòîðîé èíäèâèäóóì ïî âñåì êðèòåðèÿì. Ðàññìîòðåííûå ïîäõîäû ýâîëþöèîííûõ âû÷èñëåíèé îáëàäàþò äâóìÿ âàæíû- ìè ñâîéñòâàìè: /(xklUmRwݚXi R^*D4HKC|b!(~H UQ@$<QB@!A A!A -ݮ-E3?gܹXE$&2 Dƃ1E 덮yMMRkrFnE$mm}2/~e;`u>c5 39{KE;_1"FB`uZ(VHs@R lCA>8!gmb3lLZDyϢD+Y1*)e\"(gZߓ(^&AHϦ\Zw}>qgڐ+%~nTWo jV䛟'㟤27Mj:e{Uu1 q/ffgZF#$s?3) KSN 'A0:憤|ݶCa5np*cW91VJ1XN|\b,q&3a:0~n=qmzKcrSt>y?p-GZ5V':=nD<R?123 A}b\l97XDlKll+4Ma]Y쪤X  nQH35F'|=(a~:\IJpc"QcaϚ2-.rN|ٜ^f *e`бB'(rAWepzʷnI!b62ZQ>g ϶0\Z7[0Y/G.r__F?|=r8x#u>EW (_|+ ˳`+z}cԃVH*LD.G Wu }ɓ2X#.<< /b5il+Z^\!}pz t'N{\O p=ܗX/x^e9^J z]/<ߑX8VT"l5H1H}٬;4X z2pσZu-$Nu]$ϛ총=l, / {*](G F,bQ,zfyl#<} xH{r}?;';[%UQ֚Ϝy5q^w9k|~-NOse'Pqk] oo#S9>']pȯ ,cVVrmgEn_{ʕ 3uRwgzәre2\PO>X Hڕյ)y<=|f/Ǟd|GQ8^HuRp$ɝ͞TڶSp8-ԚiMlͼr9n6u3{qsʷ=&ضVo|Mݱ͸rq9ۚ3ywϹuw||{b,l+N[srS?ͭk)5>^x:u:u^x: TvCMicrosoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:27  @ $(16 2 /1"Y{ĉx{WY}BB($**}H.ҌpI '"b%7ͅN4XJz-թ)2xAbK$$rPH;{$zZg[,LzIXcXybqe`ط .d doXW,S?9|g;rp L_?s;7o_Sv- >qǜ}7:z>oS:x1}%}#hGXVc3ٯ%6/;'^]iܼ7ڸ-RšCShj2ܹWwڑMuKm_xW>˰ȇݒwd߮]Z0Oi3nki.V'_uUMi7ŵ57;x=8nI/]u.'ՆKgW%Uzoҗm?~ =tlC[|،:ҕ񁱓{ ?)9>戽YݦOFF[|)UzT/Qyt¢-߾-yd=>A>fLn^To^K }ItP)Uyԟx >#KkcJyMu7Ń]p|~19HN;=ۦC}6#y(wGOz}.?&צhC"çCqB~iS*-v8>eު؜ɠ>QyO"׈Tmst`_tByi=]{Cڞ~NL*Ƣ<׽zyo߶hSƀ5;B7vgnͷEw'];>3hK|΅/N1hxcsvWb ,b֘[jz ȆȤulW23@RYGcԶN޾[ouLWϝ+8dD|/'Ou^ضxp}pwF,}1NhޞXtPܚ|cD 6V6yjE&}TڦthZtս2ugmx0ve< +9c6X[wΈLy:bcَk^6)p~}5ͯÏxi1u?p]]˷]w_/0:7t-msIgoxty]'vOfvWoYX쪲R1IJn`r )k/#[ymS]LEAnpm],O$Ϗ>டb=}S|1W ,ōU%щ-1ds~3mc:ykOeTVCYYnց60Y _q=ykvW33vc'<<퀭1oqn+\Y*![D^m$:>9ڶJ$4".O6mXpd9콒;'3/>莾]'iܗv7bi~'9U`WdUZ?1eV9<>7e--VҶ|k>>с9^?ձ}t5] t,8{z_Gw?;C{;i (L6Z!nt뺒OޑZ#w;;O'|n^syWGgRM?ujWٌ>kqTo7\i.u\#8XLZ77WnC8ѶStwia5 6zCI}Wvﺩg6a?lgX+ *k:ɣBs|R>-_9 }Kn,xyj;Ƌo[`ʽn`;u>/TύqP4fev{C\ncu:qe8e;TodD`thNCf]+_k9RnSz>:WrͅI'%U>Ҿ}iWAcgVvMGݟ_bAcdoUx|ow(`Du'@wOV;g:vݗӞݹD.νrV?xuk++y:uД67GY)Eپ 6]=7m  \Ý8w<;q7?˛ϵ, vpptU8oS]ߩ|re.U'L.ţU_&m%3>赛˻p4 tW݈ 'a$xA۹;6Mw扷?wlf CC,`ٰ2Oge~7ǫ3r!NL Ff`d~8{nyܶr}H݇>;ֶi]tlV^oM/n nG+b_oo-I'Nj;//+u|.w5ed $r[u>7n\A|.ٚ\>CM.nnع#= {eOme\~1`wnZhݨ70{Y 272!_rnזAtڲ>>ʧ6m7 _cѷ7i|pm _BtiJ_y:wfl'WGOc{)ӵˁ]:w&~-@s*ʤQL+= /Lɿ<v'55_OiQ;co> z1lǂyeyf?ޝÈ ONoK+'c=bI7r]}}?Ȭ2+p}՛JL-cɱ+<\=*Ҽ?tS-{;uӹ{Y+r~eAv7H<"r׷{Q'RI||XX߄|:Vӕ78<ۼ\散ʿS|uኟñ5c+qlh5y m}/OȽ~!~w2@Չ\]e@6<ǯB{X>*8{"c1o_ہ.^i'9q1$giyxBP>[ۢφڞ1Nwˮ29H9ge 7E۝ЮU+w*^o#S$v=s\^(SLcNy4W%sF뽲F"ovsul+j^<~hj[t*&:86ĉ)wh;M<+VW%}p96 >(Z?{hg7z$쩂+{\#Y.7y]}rF^ <ڦlug~GwbY?';3:WEYx;<{Ot%V/Jm -3Mc22G 1*g6:WVpq.kuҕh/s>ڠ[_)o|kL_wWzuw#8 ny\qߎ}2/sq[]lv/n8CuܜDuphʶyXIڣkj?hSFo׼FMpz>[n>=a?A{98w?G>u6YeQwdЙ1] gۘ?V1J=3Ŏq`]a< {MO0磓qIU9U%U?2zA{/=㉶|jY>u}m*2}޳zoh:^p/5_H\ߟ 6~v$j8v?_9ݸbvwlnp¹=mtg7f\B/$ u2#߹L|.Gʴ8:kuNWײvmK /F•G^=Q&]~*ZxgI=|ގe<:{C+x{.Ӛs^xb39߻鎦~ٹTl>?iNRrcmN^ɥ9=]=1e}֎;v\6}991**yG%G@ߗwTwT?orʡl{GOrQ Qo{G;[򃅿8m|&[7>=b|CIo\z(w#yy¼[4[}z(9oyoۃWo ޣ"CoN@z{bM^>sFaƇsӖ&ߦ7ޤ OW%#}* N?2~1so/_ekutgNJ{^,C8/$[[b} h%kXr`^68sIu.c n/rF㽷zON 6/EZotLg;/Z5u288_&[.^>}E)u,UV{NRMۀ :P7G0}i 'ʰ>KeGm٭?]o]$_Zf+q`Oz5IL]Vf\,U>}ÿ|NKzj`v i>ĕ?;WNI| /7Jo\I{}k N~M݋gEOol)X<3i7N̕Oy)nd$sW&ʨ0=M;4<'=vUgO?p|%mWh%㚧rm~~epGEo?62t5ieolkA1ɦÇVc76gLmLkˈ޼c/Xɪ|STԍKo> xVyJ{Aū<7Kb׾y~|I/^?9?s4Bn.sR]Bw9}i%/o_=\*K1яj1~ɚ1ޫt~$MFNyڊYxռ_<-qj7Su mcMS^&fg]&|[2YLhe[^7֯n-8 )CAFQoC܆ޞ(Nmwoo>k'KL#2@/ 9+/v؈_-82ה@_aб=#ZoD*גgg/ ~l7`ԍݜ#!‹)hm-zxe8$ғ }&\E58IDyy‘Wn<_ #O1wp2yq`S1͵_IUG_pƓpu<g iήl]^!8}ms~_pgN.Nr%᮴UoV8";zѴ湾bm醼蔏a$e}mGNlϲ2V&g:Uy(A7OF6=z86FQ?|osZA4G*t̙ȧ5$FЂkeTۿ7֮2Χђ ~nۑ#yuy‘f\pս6e!/K#'[<''a{;c9?2iNWiIVdh~lLU.g6ዦ9>R<S>"pLdg&Ou}>)0:&&C~,ͮT/9w^1껱eIG3>c6i|^]ϸo޽=6=>vciѫ:Y4X /(N2Ii=[2W֖mJs~ ϶WbsK_姌opcޱyapx'٧F_<=6fF9wyCʮ|%q+%s6^=&$cec3svXo /<-Xu9_5Zُk_6ƿȱy.8 {t3v=1{RƖiM&{'eRSrW&+e@Vg2_&tm^K-ZtuN[ƃUO Y&uϫP#M> );rd}{79W9;iL2>so2706&ojUBNh*SuB&ɺLm2ٷ;ܚxapvEhikn~C?2sV/yハOBdo>DLOcg%pslԏ+q>96{|ꁎd,+СB^ ~\ŵ>+vbDhtio 큤׮z^8αqQ/e;{"߁Xkc$B^Iw'{/W0*o4lU:mE]Qäowª^>`Ƅ9o\M<^pƩ\;1Նuʻ20^Iʷ3x|̞8^؁6OU2qi;s+>8XݜgL4MSB>9kS7uY}ݓaiNc/aZqA:!:yܷH4Bt::|?[/00&apCf>e1Z!sş\ FV{676g8s>0;oP}.ݙJ}w@6޹r#K[OO_L~o>tl~H|Dтi+GǞ oEGueqLg]k5B͞>G&9HƷ 5}k׷|r{Nb[۾|S;TIGFˌr&3\ȉ~O tڦmmm* t_>ichєG՘l>KW{`{WeQ@;k1vr`tn?Os3'(OC=3)O#&ؤIߣSeRm^ .l̛*gOZy;aUɐّ2u‘!&+c⑸pS >Q<={SxZ>m7Fӕ1.7nr!Kwʣ4}ļq:S̉&xӁa,~8{y?Ho~/Oƾ3wHk4:ѹϝ*~I*WOy+<\{mQ#{th$-=jcб7c++\x{ }Ptz0 =#_{͈{c"xf|Yn~x[qtv }Eˤ}ۡ+&P}^Fט׸~G`|WoLU=638ܗ >d7$j ~\w؜Z&̅<:4lc\WՋϽ3>sO˵Ùm n|ɿ/d}+u0{=:Ұ?3]>P|2׼[I/\Wfw/.~?&C<?[߾{=})&7c79#8l H-d,194f9jՈp뮛0t|-m_[S / ߣHuN 큤8osOw~tur2ܜhN^]( WmItUھzGW&Cg.Q"t)^a+ѐ=w!,,72 – ðàñïðåäåëåíèå ïðîìåæóòî÷íûõ ðåøåíèé ïî âñåìó ïðîñòðàíñòâó ïîèñêà è, ñëåäîâàòåëüíî, ðàñïàðàëëåëèâàíèå ïîèñêà; – ïðîèçâîëüíûå èçìåíåíèÿ è ðåêîìáèíàöèè ïðîìåæóòî÷íûõ ðåøåíèé â ïðî- ñòðàíñòâå ïîèñêà, êîòîðûå ïîçâîëÿþò ðåøàòü ðÿä äîñòàòî÷íî ñëîæíûõ, ïëîõî ôîðìàëèçóåìûõ çàäà÷. Îñíîâíûå ïðîáëåìû, âîçíèêàþùèå ïðè èñïîëüçîâàíèè ýâî- ëþöèîííûõ âû÷èñëåíèé, çàêëþ÷àþòñÿ â ýôôåêòèâíîé ðåàëèçàöèè îïèñàíèÿ õðîìî- ñîì èíäèâèäóóìîâ ïîïóëÿöèè, à òàêæå ôóíêöèè ïðèñïîñîáëåííîñòè èíäèâèäóóìîâ. 4. Èñïîëüçîâàíèå ýâîëþöèîííûõ âû÷èñëåíèé äëÿ ñîçäàíèÿ ôóíêöèîíàëüíîãî ïðîãðàììíîãî îáåñïå÷åíèÿ èíôîðìàöèîííûõ ñèñòåì Ïðîåêòèðîâàíèå ñëîæíûõ èíôîðìàöèîííûõ ñèñòåì è èõ ýëåìåíòîâ ÿâëÿåòñÿ äëèòåëüíûì ïðîöåññîì, ñâÿçàííûì ñ áîëüøèìè ìàòåðèàëüíûìè è òðóäîâûìè çàòðàòàìè, ïðè÷åì ñàì ïðîöåññ ïðîåêòèðîâàíèÿ òðåáóåò ÷åòêîé âçàèìîñâÿçè è ñîãëàñîâàíèÿ âñåõ ðàçðàáàòûâàåìûõ ýëåìåíòîâ. Çàäàþùèì ýëåìåíòîì âñåãî ïðî- öåññà ïðîåêòèðîâàíèÿ ÿâëÿåòñÿ ôóíêöèîíàëüíàÿ ñòðóêòóðà ñèñòåìû, îïðåäåëÿ- þùàÿ âñå ìíîæåñòâî ôóíêöèé, ðåàëèçóåìûõ ñèñòåìîé. Äëÿ åå ðåàëèçàöèè ñîçäàåòñÿ ñîîòâåòñòâóþùåå ìíîæåñòâî îáåñïå÷åíèé, â ÷àñòíîñòè ôóíêöèîíàëü- íîå ïðîãðàììíîå îáåñïå÷åíèå (ÔÏÎ). ÔÏÎ èíôîðìàöèîííîé ñèñòåìû â ïðîöåññå åå ñîçäàíèÿ è ýêñïëóàòàöèè ïðå- òåðïåâàåò ðåâîëþöèîííûå è ýâîëþöèîííûå èçìåíåíèÿ. Ðåâîëþöèîííûå èçìåíå- íèÿ ðàäèêàëüíî ïðåîáðàçóþò ÔÏÎ, îäíàêî ïðè ïðàâèëüíîì ïðîåêòèðîâàíèè ñèñòåìû ïîòðåáíîñòü â íèõ âîçíèêàåò äîñòàòî÷íî ðåäêî. Îñíîâíîé îáúåì çàòðàò ïðèõîäèòñÿ, êàê ïðàâèëî, íà ýâîëþöèîííûå èçìåíåíèÿ. Ðàçðàáîòêà è ñîïðîâîæäåíèå ÔÏÎ ïðåäïîëàãàþò ðåøåíèå ñëåäóþùèõ îñíîâ- íûõ çàäà÷: 1. “ Âûâåäåíèå ” èñõîäíîé ñòðóêòóðû ïðîãðàììíîãî îáåñïå÷åíèÿ íà îñíîâå ýâîëþöèîííûõ ìåòîäîâ. Ïðîöåññ òàêîãî “ âûâåäåíèÿ ” îñíîâûâàåòñÿ íà èñïîëüçî- âàíèè ðàññìîòðåííûõ ìåòîäîâ âîñïðîèçâîäñòâà èíäèâèäóóìîâ. Êàæäûé èíäèâè- äóóì ïîïóëÿöèè êîäèðóåò îäèí âàðèàíò ñòðóêòóðû ÔÏÎ. 2. Àâòîìàòèçèðîâàííîå ñîçäàíèå ýëåìåíòîâ ÔÏÎ.  ïðîöåññå ðåøåíèÿ äàííîé çàäà÷è ìåòîäû âîñïðîèçâîäñòâà ïðèìåíÿþòñÿ íåïîñðåäñòâåííî ê òåêñòó ïðè- êëàäíûõ ïðîãðàìì. 3. Àäàïòàöèÿ ðàçðàáîòàííîãî ÔÏÎ â ïðîöåññå ýêñïëóàòàöèè èíôîðìàöèîííîé ñèñòåìû. Ðåàëèçàöèÿ äàííîé çàäà÷è îñíîâàíà íà ïîñëåäîâàòåëüíîì ïðèìåíåíèè ãåíåòè÷åñêèõ îïåðàòîðîâ ê îäíîìó èíäèâèäóóìó – ñóùåñòâóþùåìó âàðèàíòó ÔÏÎ. Ñïèñîê ëèòåðàòóðû: 1. Fogel L. J., Owens A. J. and Walsh M. J. Artificial Intelligence through Simulated Evolution. New York: John Wiley, 1966. 2. Holland J. Adaption in Natural and Artificial Systems. University of Michigan Press, 1975. 3. Schwefel H.-P. Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie ( “ Numeric Optimization of Computer Models by Means of an Evolution Strategy ” ), Interdisciplinary System Research, Volume 26. Bassel: Birkhauser, 1977.. 4. Koza J. R. Genetic Programming: On the Programming of Computers by Means of Natural Selection. Cambridge, MA, USA: MIT Press, 1992.. 5. Luke, Sean. Issues in Scaling Genetic Programming: Breeding Strategies, Tree Generation, and Code Bloat. Ph.D. Dissertation, Department of Computer Science, University of Maryland, College Park, Maryland, 2000. 6. Grefenstette J.J. and Baker J E. How genetic algorithms work: a critical look at implicit parallelism. In Schaffer, J. D., ed., Proceedings of the Third International Conference on Genetic Algorithms, 20–27, 1989. 7. Zitzler E., Deb K., and Thiele L. Comparison of multiobjective evolutionary algorithms: Empirical results, Tech. Rep. 70, Computer Engineering and Networks Laboratory (TIK), Swiss Federal Institute of Technology (ETH) Zurich, Gloriastrasse 35, CH-8092 Zurich, Switzerland, February 1999. Ïîñòóïèëà â ðåäêîëëåãèþ 31.01.2001 Ëåâûêèí Âèêòîð Ìàêàðîâè÷, ä-ð òåõí. íàóê, äèðåêòîð èíñòèòóòà ÊÈÒ ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ìåòîäîëîãèè è òåõíîëîãèè ïðîåêòèðîâàíèÿ êðóïíîìàñøòàá- íûõ ÈÓÑ. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð. Ëåíèíà, 14, òåë. 40-93-37. ×àëûé Ñåðãåé Ôåäîðîâè÷, êàíä. òåõí. íàóê, äîöåíò êàôåäðû èñêóññòâåííîãî èíòåëëåêòà ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ýâîëþöèîííîå ìîäåëèðîâàíèå. Àäðåñ: Óêðàèíà, 61166, Õàðüêîâ, ïð.Ëåíèíà,14, òåë. 40-93-35. Ñåëåçíåâ Ñåðãåé Íèêîëàåâè÷, ñòóäåíò ãðóïïû ÈÈÑ-96-1 ÕÒÓÐÝ. Íàó÷íûå èíòåðåñû: ýâîëþöèîííîå ìîäåëèðîâàíèå, ãåíåòè÷åñêîå ïðîãðàììèðîâàíèå. 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ÏÎÏΠÎÁ ÎÄÍÎÌ ÀÄÀÏÒÈÂÍÎÌ ÀËÃÎÐÈÒÌÅ ÎÖÅÍÈÂÀÍÈß ÏÀÐÀÌÅÒÐΠ2-D ÌÎÄÅËÅÉ Ðàññìàòðèâàåòñÿ çàäà÷à àäàïòèâíîé îáðàáîòêè ñòîõàñòè÷åñêèõ ïîëåé íà- áëþäåíèé íà îñíîâå 2-D ïîäõîäà è ïîêàçûâàåòñÿ, ÷òî øèðîêî ïðèìåíÿåìûé äëÿ îöåíèâàíèÿ ïàðàìåòðîâ 2-D ìîäåëåé ðåêóððåíòíûé ìåòîä íàèìåíüøèõ êâàäðà- òîâ íåäîñòàòî÷íî ýôôåêòèâåí ïðè îáðàáîòêå íåñòàöèîíàðíûõ äàííûõ. Ïðåäëà- ãàåòñÿ àäàïòèâíûé àëãîðèòì îöåíèâàíèÿ ïàðàìåòðîâ ñî ñêàëÿðíûì êîýôôèöè- åíòîì óñèëåíèÿ, îáëàäàþùèé âûðàæåííûìè ñëåäÿùèìè ñâîéñòâàìè, äîêàçûâà- åòñÿ åãî ñõîäèìîñòü. Ðåçóëüòàòû èìèòàöèîííîãî ìîäåëèðîâàíèÿ ïîäòâåðæäàþò âûñîêóþ ýôôåêòèâíîñòü ïðåäëîæåííîãî àëãîðèòìà.  ðàçëè÷íûõ îáëàñòÿõ ïðèêëàäíûõ èññëåäîâàíèé, ñâÿçàííûõ ñ îáðàáîòêîé äàííûõ ýêîëîãè÷åñêîãî ìîíèòîðèíãà, ýêîíîìè÷åñêèõ ïîêàçàòåëåé, ôèçè÷åñêèõ èññëåäîâàíèé è ò.ä., ÷àñòî âîçíèêàþò çàäà÷è îáðàáîòêè äâóìåðíûõ ïîëåé íàáëþäå- íèé.  ñèëó ñïåöèôèêè îðãàíèçàöèè äàííûõ îáðàáîòêà òàêîé èíôîðìàöèè ñòàí- äàðòíûìè ìåòîäàìè àíàëèçà îêàçûâàåòñÿ ìàëîýôôåêòèâíîé. Ýòî âûðàæàåòñÿ â òîì, ÷òî â ìîäåëü âêëþ÷àåòñÿ èëè ñëèøêîì ìíîãî äàííûõ, ÷òîáû îõâàòèòü âñå ðåëåâàíòíûå ôàêòîðû, ÷òî íåèçáåæíî ïðèâîäèò ê ðåçêîìó óâåëè÷åíèþ êîëè÷åñòâà íàñòðàèâàåìûõ ïàðàìåòðîâ è óõóäøåíèþ ñõîäèìîñòè àëãîðèòìà íàñòðîéêè, èëè, âî èçáåæàíèå ýòèõ òðóäíîñòåé, êîëè÷åñòâî ïàðàìåòðîâ óìåíüøàåòñÿ, íî ïðè ýòîì òåðÿåòñÿ è ïîëåçíàÿ èíôîðìàöèÿ.  äàííîì ñëó÷àå ýôôåêòèâíûìè ÿâëÿþòñÿ ìåòîäû, îñíîâàííûå íà 2-D ïîäõîäå [1-3].  íèõ åñòåñòâåííûì îáðàçîì ó÷èòûâàåò- ñÿ âëèÿíèå äàííûõ, ðàñïîëîæåííûõ â íåïîñðåäñòâåííîé áëèçîñòè ê àíàëèçèðóå- ìîé òî÷êå, è êîëè÷åñòâî íàñòðàèâàåìûõ ïàðàìåòðîâ îêàçûâàåòñÿ íåáîëüøèì. Äëÿ ïðåäñòàâëåíèÿ ïîëåé íàáëþäåíèé â 2-D ïîäõîäå èñïîëüçóåòñÿ äâóìåðíûé ýêâèâàëåíò îäíîìåðíûõ ìîäåëåé àâòîðåãðåññèè è ñêîëüçÿùåãî ñðåäíåãî (ÀÐÑÑ).  ÷àñòíîñòè, åñëè ïîëå äîñòóïíî â ðåæèìå ðàñòðîâîãî ñêàíèðîâàíèÿ, òî çíà÷åíèå ñèãíàëà â ïèêñåëå ñ êîîðäèíàòàìè (m, n) – s(m, n) ìîæåò áûòü ïðåäñòàâëåíî êàê àâòîðåãðåññèÿ ñî ñêîëüçÿùèì ñðåäíèì îò ìíîæåñòâà äîñòóïíûõ äàííûõ â òåêóùåé è âñåõ ïðåäûäóùèõ ñòðîêàõ. Åñëè ïðåäïîëîæèòü, ÷òî ñèãíàë s(m, n) ãåíåðèðóåòñÿ ïðîöåññîì òèïà äâóìåðíîãî áåëîãî øóìà w(m, n) ñ íóëåâûì ìàòåìàòè÷åñêèì îæèäàíèåì è äèñïåðñèåé 2 w  , òî ìîæíî ïðåäëîæèòü äâóìåðíóþ ÀÐÑÑ ìîäåëü â âèäå                        j , i j , i j n , i m w j , i c j n , i m s j , i a . (1) Äâóìåðíàÿ ïîñëåäîâàòåëüíîñòü áåëîãî øóìà èìååò ñëåäóþùóþ êîððåëÿöèîí- íóþ ñòðóêòóðó:                случае. противном в , 0 ; 0 j i при , j n , i m w n , m w M 2 w Ïðè èñïîëüçîâàíèè íîòàöèè ñ îïåðàòîðîì ñäâèãà íàçàä [4] ñîîòíîøåíèå (1) ìîæåò áûòü ïåðåïèñàíî â äðóãîì âèäå:         n , m w q , p C n , m s q , p A 1 1 1 1      , ãäå     n , i m x n , m x p i    ,     j n , m x n , m x q j    , à ïîëèíîìû A è C îïðåäåëåíû ñëåäóþùèì îáðàçîì:                                  . q p j , i c q , p C , q p j , i a q , p A j , i j i 1 1 j , i j i 1 1 3xlU}+іR>J -TX"2d]AnYbn,,aKV'6E AlAZe2` H"VW B`Z}wC]/wa!-;;;{*K7"ͩ" Y!XM쟁q Ha``a.JRwXo盂3:9>L:fO,lĮLٻuihWJGtiR&uD/ ;ZàExNUw., 6G"VXfEHNːrɐty_Gֲ ܹs8QI yݪYѼ]h܎mȇ&rI4W{k{hcNi6"o֩]l[SgyfpO{kB+eV|Y b6x-^kUvt8N׻e"o $I du5Jgh}V uU7yGhMfp\v/{>ϋgx/M[9s8xrljgqt{ xZmƎUǿu<|o'{[Y>B<s{GzҗּÉ5ɓS'7[7ix\-߄/Re͐_OjYsޖx>{zVVx읣?~ \ C[FLY|lx | }Q-_% ؾ˺dU|$e"vj<8פuo$MF:]ȇrcnƧN7T> {]P|;s ry,{v2mŸGu݌? btDסD7Na 3r#Ɏ.7ufDLTp,} $\aΓ%#LX"/3uwkf|92_rFoM"[}F7v8nS&s|(#p5?uԃcJAxirt3B5%Wk̑&w[';?&~>cwO)\x=&ԾV߈:vz-:~Zě^WC8ZӾ7nY{AnL.k;]9~vCLG"~&Q_^؇h,@ܸ998o:`tR[ŭӱW=7G͙#kU~@=?~ 3gπ?~ W2pSπ?~ 3YD7Microsoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:27  Z 2rz(16j2/j1x{x ]E; 4!Q섇z;1I608%.A HU˰G@btA024y6 !/0{ݮ{r&tʁJթUg9TuKZs[B8K}m!|v*W۩! <'-ߖ(ye;!<_o9tH뇆pA8\JJ/8%hB˺_U/uUuA׳j׭Cwb3Qi?2-AUJJӕJJJCԒaV`ƨxR*7Z%xѰB{L>2cZ%d\1n9ZgJe>>tvچr2Q[ƾ[]oms36L~so]h}:,\ydt| }Y]Y:\!7k#:~#[y+V>_社Z(PmGjǔ05sçɎ,qL7:}EUly[Wإ;Sѳ.)3Y\?DO}h^>:_5Co fԲxBD6W\P20=k٦DxBcRVb<1?|P10G* ͞m $]Ķ6*gk[2:>Cj9H C=1xcULJ(=4*{=7.{62I|-t;L#U:<-~ ;W2k,mk%A(3x)5x? 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Êîýôôèöèåíòû c(i, j) îòíîñÿòñÿ ê ÷àñòè ñêîëüçÿùåãî ñðåäíåãî. Îïîðíîé îáëàñòüþ äëÿ c(i, j) ÿâëÿåòñÿ a. Êîýôôèöèåíò a(0, 0) â àâòîðåãðåññèîííîé ÷àñòè ïðèíèìàåòñÿ ðàâíûì åäèíèöå. Òàêèì îáðàçîì, ìîäåëü ñèãíàëà ìîæåò áûòü çàïèñàíà â âèäå                               j , i 0 , 0 j , i j n , i m w j , i c j n , i m s j , i a n , m s , (2) ãäå çàïèñü b – (0, 0) îçíà÷àåò îáëàñòü b, çà èñêëþ÷åíèåì ïèêñåëÿ (0, 0). Çàìåòèì, ÷òî óðàâíåíèå (2) ñõîäíî ñ õîðîøî èçâåñòíûì ðàçíîñòíûì ïðåäñòàâ- ëåíèåì ñèãíàëà, â êîòîðîì òåêóùåå çíà÷åíèå ïðåäñòàâëÿåòñÿ â âèäå âçâåøåííîé ñóììû ïðåäûäóùèõ çíà÷åíèé ñèãíàëà è øóìà. Ðàçìåðû è ôîðìà îïîðíûõ îáëàñòåé b è a îïðåäåëÿþò, êàêèå èç ïðîøëûõ çíà÷åíèé ñèãíàëà è øóìà âõîäÿò â ýòè ñóììû.  äàííîì êîíòåêñòå â êà÷åñòâå îïîðíîé îáëàñòè ÷àñòî èñïîëüçóåòñÿ [1] íåñèììåòðè÷íàÿ ïîëóïëîñêîñòü (ðèñóíîê), îáîçíà÷àåìàÿ R(M, N). Òàêàÿ îïîð- íàÿ îáëàñòü âêëþ÷àåò M ïðåäûäóùèõ ñòðîê è ïî N ñòîëáöîâ ñ îáåèõ ñòîðîí îò òåêóùåãî ïèêñåëÿ. Ïðè òàêîé ôîðìå îïîðíîé îáëàñòè ïîëèíîìû A(p –1 , q –1 ) è C(p –1 , q –1 ) ïðèíèìà- þò âèä                                                    . q p j , i c q p j , i c q , p C , q p j , i a q p j , i a q , p A M 1 i N 1 j j i M 0 i N 0 j j i 1 1 M 1 i N 1 j j i M 0 i N 0 j j i 1 1 Áóäåì ïðåäïîëàãàòü, ÷òî ðàññìàòðèâàåòñÿ óñòîé÷èâûé ìèíèìàëüíî-ôàçîâûé äâóìåð- íûé ñëó÷àéíûé ïðîöåññ. Ýòî ïðåäïîëîæå- íèå íàëàãàåò îãðàíè÷åíèÿ íà êîýôôèöèåí- òû ÀÐÑÑ-ìîäåëè (1), êîòîðûå ïðåâðàùàþò- ñÿ (êàê è â îäíîìåðíîì ñëó÷àå) â óñëîâèÿ óñòîé÷èâîñòè ïîëèíîìîâ. Óñòîé÷èâîñòü äâó- ìåðíûõ ïîëèíîìîâ ÿâëÿåòñÿ ñëîæíîé ïðîáëåìîé, êîòîðàÿ íà ñåãîäíÿ îêîí÷àòåëü- íî íå ðåøåíà. Äëÿ îöåíèâàíèÿ ïàðàìåòðîâ îïèñàííîé ìîäåëè ÷àùå âñåãî [1] ïðèìåíÿþòñÿ ðàçëè÷íûå ìîäèôèêàöèè ðåêóððåíòíîãî ìåòîäà íàèìåíüøèõ êâàäðàòîâ (ÐÌÍÊ), îáëàäàþùèå õîðîøèìè ñãëàæèâàþùèìè ñâîéñòâàìè. Îäíàêî â ñëó÷àå íåñòàöèî- íàðíîñòè ïàðàìåòðîâ ìîäåëè, õàðàêòåðíîé äëÿ ìíîãèõ ïðàêòè÷åñêèõ ñëó÷àåâ îáðàáîòêè ïîëåé íàáëþäåíèé, äàííûé àëãîðèòì îêàçûâàåòñÿ íåäîñòàòî÷íî ýô- ôåêòèâíûì. Ïîýòîìó âîçíèêàåò çàäà÷à ñèíòåçà àäàïòèâíîãî àëãîðèòìà îöåíèâà- íèÿ ïàðàìåòðîâ ìîäåëè (1), îáëàäàþùåãî âûðàæåííûìè ñëåäÿùèìè ñâîéñòâàìè. Ðåêóððåíòíîå óòî÷íåíèå 2-D ìîäåëè, â ïðèíöèïå, íå îòëè÷àåòñÿ îò îäíîìåð- íîãî ñëó÷àÿ â òîì, ÷òî äàííûå è íåèçâåñòíûå ïàðàìåòðû ìîãóò áûòü ïðåäñòàâëå- íû â âåêòîðíîé ôîðìå:                     , n , m x ˆ n , m y ˆ , n , m w n , m x n , m y T T ãäå q – âåêòîð íåèçâåñòíûõ ïàðàìåòðîâ; x(m, n) – âåêòîð íàáëþäåíèé;  ˆ – îöåíêà âåêòîðà ïàðàìåòðîâ ìîäåëè.  òåîðèè è ïðàêòèêå àäàïòèâíîé èäåíòèôèêàöèè êàê íàèáîëåå ïðîñòûå øèðî- êî ðàñïðîñòðàíåíû àëãîðèòìû, îñíîâàííûå íà ñòîõàñòè÷åñêîé àïïðîêñèìàöèè [5]. 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Ñ òåì, ÷òîáû ïðèäàòü ïîäîáíîãî ðîäà àëãîðèòìàì ñëåäÿùèå ñâîéñòâà, ââåäåì â ðàññìîòðåíèå ïðîöåäóðó âèäà                                                        , 1 1 , 1 p , 2 a 0 , 1 n , m 0 , n , m x 1 n , m p n , m n , m p , n , m x n , m x 1 n , m ˆ n , m y n , m p a 1 n , m ˆ n , m ˆ 2 T (3) ÿâëÿþùóþñÿ ðàñøèðåíèåì àëãîðèòìà, ïðåäëîæåííîãî â [6], íà äâóìåðíûé ñëó- ÷àé. Çàìåòèì, ÷òî ïðè l(m, n) = 0 (3) ïðåâðàùàåòñÿ â äâóìåðíûé àíàëîã àëãîðèòìà Êà÷ìàæà [7], à ïðè l(m, n) = 1 – â àëãîðèòì Ãóäâèíà-Ðýìåäæà-Êåéíåñà [8]. Ïðèíöèïèàëüíûì îòëè÷èåì àëãîðèòìà (3) îò ïðîöåäóðû ñòîõàñòè÷åñêîé àïï- ðîêñèìàöèè Ãóäâèíà-Ðýìåäæà-Êåéíåñà ÿâëÿåòñÿ èñïîëüçîâàíèå â íåì ïàðàìåò- ðà äèñêîíòèðîâàíèÿ l(m, n), ÷òî îáåñïå÷èâàåò ïðîöåäóðå òðåáóåìûå ñëåäÿùèå ñâîéñòâà è â òî æå âðåìÿ èñêëþ÷àåò âîçìîæíîñòü “ âçðûâà ïàðàìåòðîâ ” , õàðàê- òåðíîãî äëÿ âçâåøåííîãî ìåòîäà íàèìåíüøèõ êâàäðàòîâ. Çàïèøåì (3) îòíîñèòåëüíî îøèáîê îöåíèâàíèÿ ïàðàìåòðîâ:             , n , m n , m x n , m p a 1 n , m ~ n , m ˆ n , m ~           ãäå  (m, n) – îáíîâëÿþùàÿ ïîñëåäîâàòåëüíîñòü, è ââåäåì ôóíêöèþ Ëÿïóíîâà:                                n , m w n , m n , m x 1 n , m ~ n , m p a 2 1 n , m V n , m ~ n , m ~ n , m V T T                            n , m x n , m x n , m w n , m n , m p a n , m w n , m x 1 n , m ~ n , m p a 2 T 2 2 2 T                   n , m x n , m x n , m w n , m w n , m n , m x n , m x n , m w 2 T 2 T     . (4) Óñðåäíÿÿ (4) ïî w(m, n), ïîëó÷àåì                           n , m w n , m n , m x 1 n , m ~ n , m p a 2 1 n , m V n , m V M T             2 w 2 2 2 2 2 n , m x n , m x n , m w n , m n , m p a      . Èññëåäîâàíèå ñõîäèìîñòè àëãîðèòìà, áàçèðóþùååñÿ íà ðàññìîòðåíèè ïîñëå- äîâàòåëüíîñòè (4) êàê ñóïåðìàðòèíãàëà, ñîâïàäàåò ñ ïîäõîäîì Ãóäâèíà-Ðýìåä- æà-Êåéíåñà, ïðè ýòîì ïðèíöèïèàëüíûì ìîìåíòîì ÿâëÿåòñÿ âûïîëíåíèå íà êàæ- äîé èòåðàöèè óñëîâèÿ       1 n , m p n , m p n , m p 2   , îòêóäà ñëåäóåò, ÷òî ïàðàìåòð l(m, n) äîëæåí íàõîäèòüñÿ â èíòåðâàëå       1 n , m 1 n , m p n , m x 1 2      , èëè           2 n 1 j 2 1 j n n , m x j , m x j , m n , m 1         . 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Çàêëþ÷èòåëüíûå ïîëîæåíèÿ ñîäåðæàò: – ðåçþìå (âûâîäû ïî èçó÷åííîìó ìàòåðèàëó) - êðàòêèå âûâîäû ïî îñíîâíûì âîïðîñàì èçó÷åííîãî ìàòåðèàëà; – ñëîâàðü òåðìèíîâ - ïðèâîäÿòñÿ (íàïîìèíàþòñÿ) îñíîâíûå òåðìèíû, êîòîðûå áûëè èñïîëüçîâàíû â äàííîì çàíÿòèè; – ñâÿçü ñ ïîñëåäóþùèìè òåìàìè - ïåðå÷èñëÿþòñÿ ðàçäåëû ó÷åáíûõ äèñöèï- ëèí, ïðè èçó÷åíèè êîòîðûõ áóäóò èñïîëüçîâàòüñÿ èçó÷åííûå ìàòåðèàëû; – èñïîëüçîâàííûå èñòî÷íèêè - ïðèâîäèòñÿ ïåðå÷åíü èñïîëüçîâàííûõ èñòî÷íè- êîâ (ïå÷àòíûõ è ýëåêòðîííûõ) ñ óêàçàíèåì ñîîòâåòñòâóþùèõ òåì è ñòðàíèö, ãäå ýòè òåìû èçëàãàþòñÿ, à òàêæå ìíåíèå àâòîðà î êà÷åñòâå èçëîæåíèÿ óêàçàííûõ âîïðîñîâ â ñîîòâåòñòâóþùåì èñòî÷íèêå; – îòâåòû íà òèïè÷íûå âîïðîñû - ïðèâîäÿòñÿ îòâåòû íà òèïè÷íûå âîïðîñû, êîòîðûå ìîãëè âîçíèêíóòü ó îáó÷àåìîãî ïðè èçó÷åíèè ìàòåðèàëà, äàííûé ñïèñîê ìîæåò ïîñòîÿííî ðàñøèðÿòüñÿ çà ñ÷åò ïîæåëàíèé îáó÷àåìûõ; – àäðåñ (ñåòåâîé èëè ëîêàëüíûé), ãäå îáó÷àåìûå ìîãóò îñòàâëÿòü ñâîè êîììåí- òàðèè, çàìå÷àíèÿ è ïðåäëîæåíèÿ. 4. Çàäàíèÿ äëÿ ñàìîñòîÿòåëüíîé ðàáîòû ïî äàííîé òåìå ñëóæàò äëÿ ïðîâåðêè óìåíèé, ïîëó÷åííûõ â õîäå äàííîãî çàíÿòèÿ, è ìîãóò âûïîëíÿòüñÿ ïðè ïðîâåäå- íèè ïðàêòè÷åñêèõ çàíÿòèé (èëè ñàìîñòîÿòåëüíî). Åñëè äëÿ âûïîëíåíèÿ çàäàíèé íóæåí íåêîòîðûé ïðîãðàììíûé ýìóëÿòîð èëè ìîäåëèðóþùàÿ ñèñòåìà, òî óêàçû- âàåòñÿ àäðåñ, ãäå ýòó ïðîãðàììó ìîæíî ïîëó÷èòü áåñïëàòíî, à òàêæå ñïîñîá ïîëó÷åíèÿ (ëîêàëüíûé èëè ñåòåâîé). Çàäàíèÿ ìîãóò âûïîëíÿòüñÿ âíå ñðåäû îáó÷åíèÿ (áðàóçåðà), íî òåêñòû çàäàíèé è îòâåòû íà íèõ äîëæíû ïðèâîäèòüñÿ èìåííî òàì. Îòìåòèì, ÷òî íå âñå ðàçäåëû îáùèõ è çàêëþ÷èòåëüíûõ ïîëîæåíèé îáÿçàòåëü- íû äëÿ âêëþ÷åíèÿ â ãèïåðòåêñòîâûå ó÷åáíûå ìàòåðèàëû, íî àâòîðû ñ÷èòàþò, ÷òî ýòî íåîáõîäèìî, îñîáåííî, åñëè îáó÷àåìûé èìååò òðóäíîñòè â äîñòóïå ê ñåòåâûì ðåñóðñàì. Ðàññìîòðèì íåêîòîðûå ïóòè ðåàëèçàöèè ýòèõ êîíöåïöèé. Áóäåì ïîìíèòü î òîì, ÷òî ýëåêòðîííûé ó÷åáíèê äîëæåí ðåàëèçîâàòü òå âîçìîæíîñòè ïî ïðåäñòàâ- ëåíèþ ó÷åáíîãî ìàòåðèàëà, êîòîðûå ÿâëÿþòñÿ íåâîçìîæíûìè èëè î÷åíü äîðîãè- ìè äëÿ òðàäèöèîííûõ ó÷åáíèêîâ (îáû÷íûõ êíèã). Ìû èìååì â âèäó ñëåäóþùèå àñïåêòû: – âîçìîæíîñòè èñïîëüçîâàíèÿ âûñîêîêà÷åñòâåííîé öâåòíîé ãðàôèêè, çâóêà, àíèìàöèè è âèäåî; – îðãàíèçàöèÿ ñèñòåìû ïîëíîòåêñòîâîãî ïîèñêà â ýëåêòðîííîì ó÷åáíèêå è áûñòðîãî ïîèñêà ïî êëþ÷åâûì ñëîâàì; – áûñòðûé ïåðåõîä â ëþáóþ ÷àñòü ó÷åáíèêà ïðè ïîìîùè ñïåöèàëüíîé ñèñòå- ìû íàâèãàöèè; – óäîáíûé èíòåðôåéñ ïîëüçîâàòåëÿ, áëàãîäàðÿ êîòîðîìó îáó÷àåìûé, îáëàäàÿ äàæå ìèíèìàëüíûìè íàâûêàìè ðàáîòû ñ Web-áðàóçåðîì, èìååò âîçìîæíîñòü áûñòðî è êà÷åñòâåííî ðàáîòàòü ñ ïðåäëàãàåìûì ó÷åáíûì ìàòåðèàëîì. Âîïðîñû èñïîëüçîâàíèÿ ñðåäñòâ ìóëüòèìåäèà äîâîëüíî ÷àñòî çàòðàãèâàþòñÿ ïðè îáñóæäåíèè òåõíîëîãèé äëÿ ïîñòðîåíèÿ ýëåêòðîííûõ ó÷åáíèêîâ, è ìû íå áóäåì çäåñü îáñóæäàòü èõ. Îñòàíîâèìñÿ ïîäðîáíåå íà äðóãîì àñïåêòå – îðãàíè- çàöèè ó÷åáíîãî ìàòåðèàëà â óäîáíîé ñ ìåòîäè÷åñêîé òî÷êè çðåíèÿ ôîðìå. Ðàññìîòðèì ïîäõîä ê ïîñòðîåíèþ ñèñòåìû íàâèãàöèè â ýëåêòðîííîì ãèïåðòåê- ñòîâîì ó÷åáíèêå. Îí îñíîâàí íà ïîäõîäå, ïðèìåíÿåìîì ïðè ïðîåêòèðîâàíèè ñàéòîâ äëÿ ïðîìûøëåííûõ èíôîðìàöèîííûõ ñèñòåì, êðàòêî îïèñàííîì â [5]. Íà íàø âçãëÿä, ñèñòåìà íàâèãàöèè äîëæíà áûòü îðãàíèçîâàíà òàêèì îáðàçîì, ÷òîáû äîñòóï ê íàèáîëåå âàæíîé èíôîðìàöèè â òåêóùåì êîíòåêñòå ìîæíî áûëî ïîëó÷èòü çà ìèíèìàëüíîå ÷èñëî îïåðàöèé íàâèãàöèè. Ýòî îçíà÷àåò, ÷òî èíôîðìà- öèÿ, ñâÿçàííàÿ ñ ðàññìàòðèâàåìûì ìàòåðèàëîì è ñóùåñòâåííàÿ äëÿ åãî ïîíèìà- íèÿ, äîëæíà áûòü äîñòóïíà ïðåäåëüíî áûñòðî – çà 1-2 îïåðàöèè íàâèãàöèè. !*xhUeǟWe<]d$]1$&%.X?u4BHP3i0?ejKEV, k ˕: KH'GK*R"ԥsKf^2΃tx>"XbՅR]u$ma92I%w<6\踮/yw>ݠk)cӖCfR2@f`6e'Cg5ߜ̞57]iĴ\9tm([uhzzW۬g{}K^.3r>%SC=eJ8Xی?79(=*q2){t# ng>v.YhT`K~d.a5x4db1Ѻ7Jc;J 7`s/ qQ~3sQ:w}3ddH YH;/WE|,@7>8|T w^b\zvp| |cWaGN7hݳA%(]7_R%M0|Β֚9&=/@ia5v[뮥s~>Zk F1su+}=E8 6|"`wDǐN^R,H\sp %^gC?*F]1Wy~e+9#[ ۵%۲ r}F7%o.؉]yͰzTv9'gsXƾ ͧO]Az2 0MpT 7v |/~ɫ(9m3Nosk[nv=>?]Q:ϷdoͻkSvf kGQFx ugʔkpIaGHK К ΃ )?w{##[g*+5Ng{IwIh<|FAYx%k92^WXϓ |OY~3:lM ,{\V@!е5ss@q}yuҜaU6R}µb~]`d+8koάy9~2d޽iy}v$֯o=И:o}ۏZO4~ʏS{'o^w3zx5'1~7ɴ͞0~wSӏ2mMzt @ЁA:t @ЁwĠޠA:t @ЁwMicrosoft Office Document Image Writer 11.03.1897.00 2006:08:05 10:23:28  R 3 mxRR(16>q2tq/R1k{DlxeQ'qȐ@㍽aAd8aka󇑌(Fb_@$ ]Bv. !$A&6wey̼p4ww>^o Jn ͕^w0,>}0l}(Qax巏s5eo->S麇nYu(N_;m|n17~n#׌/^r}mo]%]#=ק4 d~_r<\o;p-L_'*s4|h+e-c-?vW_>R02e?uyi?\clk7?R>ᇆ#Ϫ6~yCMcm~}6VLfmjc;*Lm6lS>g]OmRoU+U&Vzul}`xlxzp|`OOߓṵ̀S3=_ߪ`WU:WF s#瓅Z?ZJg 3| k4d}_G.pwϗ?WRθc>hO0e6~b?ƒqk |F곆ab 9xwdרMJlbʏQ|[db*cN=Cxd2<"JtEnw=wȍnv{co8Yk[Fe(n̸TBk.wOq=+]χjԣuD:}hɦ̘E/,^~\qEd._^~+6P؟g`zF³ljf#*+=>z ѿm «}NwϞ۝>vTvS쎏kƜ*2.'3~)>i[S#}'X_dڡ_=>klhKDt~y;+]>`spm:_O|قax^Ze0335[*[׌Θ+3>vVՕ7/\2eE;';}l٧KJ' +Rgۣ/.(r=_ǽYyȎ,&16׃L~/z8}d=K|Rl..~Rϊ}TMbGXK"FɢzI# vbXq[GǍ_3or0w{ СM9'(ixOGJ멧vN_TW~ڨ+G}_\/ _b&3p7Jv'wڗOUjTQsNj~bG*2>};\BrRtrB^rZ6#yCeڡotG weW;uK+$6pvOtaxS Y_@ᜏ'+a6>6j魝xC;%?ui~zg$>ϔl" M `$u1C3͍I_q&+c -Xl6])Eշ vR/̊w:[yEh\ ]e):Iۭv_Xbv~|<=Yuђ>QOi2s|2S( Y^Q /LG+&}p{~,|Wl~/+7~o5{mwp;FOŖ1}V^O>WuNʼ VywynhvѼyhڵ.20"C^]yNާGdᗾѥz~x^_x;K_Z~n\; Gc +EщjVE}O:c#coꁭGXG;Rd:v/edpqh ̓ ֔' jޓ5$;(iʹv jqjWtin|LD_Ri?DsxAu}Fhݥlm)Q>B&G'wxqЩg ]c;*ثvNf{ߊlڭnS+آ+3+#wi_Wl?ₓY*9O;3"wp)2 Oc?CƅWoƗ٪Y蝏,UA~`ŽVg@˳X3ktiN; *oOH{\ohZS^Crs\dXG>rI{hSᏇroʽ1QZg;.~_%:#ݸFl{͑u_Q_n.s['4f>5.{N w6盦{=>'7 5{ 7D,^?کxv+ -p[x&06Cql1vgԕ/b<4hJ9gfQ? _L9t<'gatHɍYz:e8Q;g;zk`;-@8WPZv/isv[b͓vO7LXvqlIjJ,'#)r22Gӷ#~'i#W6O~ȟIx8?I;|t|L>=^p~o/YFu‚=1u5wя[{&oSDӞɘemIdIʑu`c&1KN)4-}  l'~fx)g,bz@k}mhOT?]{xr:HTi6G"OٳI֝l_Q(rSb5Ƀ}T7j|ߟ>,<"::O;|G恟><ӯ${]PSݹU)O8<ջ}ź#o6/KZSOӶ7eztFֱ= ~rG ^c 'NN#Ѐzf{ko?W*-~`={MtbAvqzISs͊D ؞?5 sȣgt뭻zrKs^Q0'sg64IDfpxjOhhգM֎—o@}Kaoࡃ7&'}N(~qۅ EV2Z̾RwӴ\ozS<"'6riG4&}V}h8>mLgnS7g}Yg6Z@9Pz޸h U81|f/W&m$CvZaw]ȼCJYcgF>L"o02R,my_йD9dtov8}R({vl;ސn]5ehW=NF䢮' =<\Ё<6R7u'>GYbC=m2>&[(~w +QSOK˧N>n,`wȻGBu?U ;1g׶/b]7iػC5#C2Y.,A{s~D7t3ѕGMxd,` 'C6]}ЁfWQ\ Lנgov,3[XZ:Yv 4LwZ=) r9ZܔFrt~«G}_Yh#yڧu ]\}8S =_ʫbo*~眹Zҩ >tdZ?Sn??hMfGɕ{xF֠XoKi:: _.׿vڤ-lӺNQ~G+}g(C뭍k:]yVt= 춮ygj{˜Uݔ坖Xۛ<,KyVۏE,uҚCٚwNnpdr/OuCG`t;]mSm̚E~ >h^yՃk#Ob(ur9W>Iˇ-:{}ByG. fl~~qzK.91YTZ`@ZXUq뙪P.Ϯ& qFDA>%>>6L#"vHŶRGt*ku,KА'<4xqƛR|h1]`+^XfN E{Rɚ9Uܻ{E-:ξx~C;5\Y- {W}8[R&c9%>2od*o^,#:TN6}f/gxX6ʡW֏!n2?k{v.dyClGjf-_Hzra?oNElLnS k/'khk !x^ѫ!>|>ѝ}i'חĎx2^_OxqF)=g `W*Ooѹɹ}YބnYy0ޫlDrx3ȋ?k_#r> ^=mRykChSO<%{69zۻ^xN7C&;[ɳ{LxǓ,qa`4yCKYٖ>I=uo'ȏȕ#Ȝpёr/{O[ C-m-1geLN*}ז߿ߜ^,'Hޘ*7|&oRm,/lƯ\|Ӎ2pK僧Y38slv*-vSn+sgd6zײ{e [](ܷx/=5hqӑ˽+[@q{7w%V]==GY#r)SCMoW}͚9ڍaV?Kt;Xweyo,`|CnL,#+yk>у"Ŧ7T0T^{2> vC`z_KU;o{{E]ާfwz˓gd-"vĦG*üC%r#.F΁.׆f\ F<货E&/5^Z9Uyn~>[9߷FSW(T;Ei,5˯o8Eoyän$.ɯB}SD(D/v;7+;2<<}Dr0e )M/4E)K=43>|{~Uym n?Q8v:; ]пYfoF2_]4+h qz;z4Q?X)4}WGLo\vFGSV=K;J9ˬSGGn9a~F$n{jEy|e_dF&MtX12V'k~Ӊq+ >2m3v.cG9ݾot/feOiOښ- >6mdmЫ'u6< t/)Y'EW3C?'^: ?pzI? >#~^)K{L״Wɚg ?\=kl fls6qWSkNSvƟ9Y\#8s||>=jӓ}`.ڹo-,/ooì>Q`K/֞!ؗXݬ6lnndvxն:ZqG]ȥۡV >ڡO o9Z ϔO7i&0zz}ք6 ~y^[9o.oS{~+SP6m5& 8$E,fi;7{+>mbs"7TNd&h{uuh 0e)xSs|.ѝ\[9?αWm.2gcH)W>ޛ)nyڽv>ƥo&=:,,Q80 Äëÿ íàâèãàöèè ïî âñåìó ìàòåðèàëó , ñîäåðæàùåìóñÿ â ãèïåðòåêñòîâîì ó÷åá- íèêå, ìîæíî ïðèìåíÿòü äîâîëüíî òðàäèöèîííûé ïîäõîä, çàêëþ÷àþùèéñÿ â îðãà- íèçàöèè ñïåöèàëüíûõ ïàíåëåé íàâèãàöèè (Navigation Bar). Îäíàêî ïîñëå òîãî, êàê íåîáõîäèìûé ìàòåðèàë íàéäåí, äîëæíà áûòü âîçìîæíîñòü ñêðûòü âñå ýëå- ìåíòû îôîðìëåíèÿ Web-ñòðàíèöû è ïîëüçîâàòåëüñêèå ïàíåëè, íå îòíîñÿùèåñÿ ê ïðåäñòàâëåíèþ ñîáñòâåííî íàéäåííîé ïîëåçíîé èíôîðìàöèè (ñðåäñòâà íàâèãà- öèè, ðåêëàìíûå ëîãîòèïû è ò.ä.). Ïðè ýòîì äîëæíà áûòü è âîçìîæíîñòü ñíîâà ïîêàçàòü èõ, åñëè âîçíèêíåò íåîáõîäèìîñòü ïåðåéòè ê äðóãîìó ìàòåðèàëó. Ïðè ïîñòðîåíèè ñèñòåìû íàâèãàöèè âàæíî ó÷èòûâàòü ïðèíöèï ðàçëè÷íîãî óðîâíÿ äîñòóïíîñòè äëÿ ðàçëè÷íûõ êàòåãîðèé ó÷åáíîãî ìàòåðèàëà - îñíîâíîãî, äîïîëíèòåëüíîãî è ñïðàâî÷íîãî: – îñíîâíîé ìàòåðèàë - ñîäåðæèò áàçîâûå ïîíÿòèÿ è îïðåäåëåíèÿ; çäåñü èçëàãàåòñÿ îñíîâíàÿ ñóòü òåìû ó÷åáíîãî ìîäóëÿ; ìàòåðèàë äîñòóïåí çà 1-2 îïåðàöèè íàâèãàöèè ÷åðåç ãëàâíóþ ñòðàíèöó ó÷åáíîãî ñàéòà, ëèáî ãëàâíóþ ïàíåëü íàâèãàöèè; – äîïîëíèòåëüíûé ìàòåðèàë – ÿâëÿåòñÿ ïðîäîëæåíèåì è êîíêðåòèçàöèåé îñíîâíîãî, áîëåå ïîëíî ðàñêðûâàþùèì èçó÷àåìûé ìàòåðèàë; äîñòóïåí ÷åðåç ãèïåðññûëêè, ðàñïîëîæåííûå â îñíîâíîì ìàòåðèàëå èëè ñî ñïåöèàëüíîé ñòðàíè- öû, íà êîòîðîé ñîáðàíû ãèïåðññûëêè íà äîïîëíèòåëüíûé ìàòåðèàë, à òàêèå ñòðàíèöû, â ñâîþ î÷åðåäü, äîñòóïíû òàê æå, êàê è îñíîâíîé ìàòåðèàë; – ñïðàâî÷íûé ìàòåðèàë - ðàñïîëîæåí â îòäåëüíî îðãàíèçîâàííûõ ñïðàâî÷- íûõ ðàçäåëàõ èëè âî âíåøíèõ (ïî îòíîøåíèþ ê ýëåêòðîííîìó ó÷åáíèêó) ðåñóð- ñàõ; äîñòóïåí ÷åðåç ññûëêè íà ñïðàâî÷íûå ñòðàíèöû è ññûëêè, ñîäåðæàùèå àäðåñà äîïîëíèòåëüíûõ ðåñóðñîâ â êîðïîðàòèâíîé ñåòè, ãëîáàëüíîé ñåòè Internet è ò.ä. Äðóãèì, ïåðñïåêòèâíûì, íà íàø âçãëÿä, ïîäõîäîì ÿâëÿåòñÿ ïðèìåíåíèå èåðàð- õè÷åñêîãî ïðåäñòàâëåíèÿ ñîäåðæàíèÿ ó÷åáíèêà ñ èñïîëüçîâàíèåì ñïåöèàëüíîãî ñðåäñòâà íàâèãàöèè â âèäå âèçóàëüíîé äðåâîâèäíîé ñòðóêòóðû, ãäå ìàòåðèàë ó÷åáíèêà ãðóïïèðóåòñÿ ïî ðàçëè÷íûì ïðèçíàêàì. Òàêèì îáðàçîì, îäèí è òîò æå ìàòåðèàë ìîæíî óâèäåòü â íåñêîëüêèõ ìåñòàõ äðåâîâèäíîé ñòðóêòóðû ñîäåðæà- íèÿ ó÷åáíèêà. Ýòî ïîçâîëÿåò ëåãêî íàéòè ìàòåðèàë, èìåÿ ëèøü ÷àñòè÷íóþ èíôîðìàöèþ î íåì èëè î òîì, ê ÷åìó îí îòíîñèòñÿ. Ññûëêè íà ìàòåðèàë ïîìåùàþòñÿ âåçäå, ãäå îíè íåîáõîäèìû. Îñòàíîâèìñÿ íåñêîëüêî ïîäðîáíåå íà òîì, êàê îðãàíèçîâàòü ïðîöåññ äèñòàíöè- îííîãî îáó÷åíèÿ (ÄÎ) ñ ó÷åòîì èñïîëüçîâàíèÿ ãèïåðòåêñòîâûõ ó÷åáíûõ ìàòåðèà- ëîâ. Ïðåæäå âñåãî, äëÿ îðãàíèçàöèè ïðîöåññà ÄÎ íàì ïîòðåáóåòñÿ íåñêîëüêî òèïîâ ïðîãðàììíûõ ïðîäóêòîâ è àïïàðàòíûõ ñðåäñòâ: – ñïåöèàëüíûé èíôîðìàöèîííûé Web-ñåðâåð, íà êîòîðîì ìîæíî ïîëó÷èòü ó÷åáíûå ìàòåðèàëû, ïðîâåñòè òåêóùóþ ïðîâåðêó óðîâíÿ çíàíèé, ñäàòü ñåðòèôè- êàöèîííûé ýêçàìåí; – êîìïüþòåðû ñ ñîâðåìåííîé ãðàôè÷åñêîé îïåðàöèîííîé ñèñòåìîé è îäíèì èç ðàñïðîñòðàíåííûõ Web-áðàóçåðîâ. Ìîäåëü òàêîãî ó÷åáíîãî ïðîöåññà ìîæíî ïðåäñòàâèòü ñëåäóþùèì îáðàçîì. Ïîñëå ðåãèñòðàöèè â ñèñòåìå ÄÎ, çàêàçà ó÷åáíîãî êóðñà è îïëàòû óñëóã îáó÷àå- ìûé ñ êëèåíòñêîãî êîìïüþòåðà ïðè ïîìîùè Web-áðàóçåðà çàõîäèò íà ñàéò ñèñòåìû ÄÎ è ïîëó÷àåò íåîáõîäèìûé äëÿ îáó÷åíèÿ ìàòåðèàë. Ïîñëå ïîëó÷åíèÿ ìàòåðèàëà ñ ñåðâåðà ïîëüçîâàòåëü ìîæåò ïîëíîöåííî ðàáîòàòü ñ ñîçäàííîé ëîêàëüíîé êîïèåé. Èçó÷èâ òåîðåòè÷åñêèé ìàòåðèàë è âûïîëíèâ ïðàêòè÷åñêèå çàäàíèÿ, îáó÷àå- ìûé ìîæåò ïðîâåðèòü ïîëó÷åííûå çíàíèÿ ñ ïîìîùüþ âîïðîñîâ äëÿ ñàìîêîíòðî- ëÿ. Ýòîò òèï ïðîâåðêè òåõíè÷åñêè ðåàëèçóåòñÿ íà ñòîðîíå êëèåíòà è íå òðåáóåò ïîäêëþ÷åíèÿ ê ñåðâåðó. 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Ñòðóêòóðíà ïîáóäîâà ÓÁÔÏ äîçâîëÿº óñóíóòè âêàçàí³ ïðîòèð³÷÷ÿ òà ãðàíè÷- íî çâóçèòè ä³àïàçîí ïîøóê³â ñõåìíèõ êîìïîíåíò³â ïðè ñòâîðåíí³ ïðàöåçäàòíèõ ì³êðîåëåêòðîííèõ ñõåì, îñê³ëüêè êîìïàðàòîðè, öèôðîâ³ ñõåìè äåøèôðàòîð³â òà àíàëîãîâ³ êîìóòàòîðè º âñåá³÷íî â³äïðàöüîâàíèìè ñõåìàìè ³ ¿õ ñèìá³îç ó ñòðóê- òóð³ ÓÁÔÏ äຠìîæëèâ³ñòü çàáåçïå÷èòè ïðàöåçäàòí³ñòü îñòàíí³õ. à á Áëîê-ñõåìà ïðîñòîðîâîãî ÓÁÔÏ: à – ñòðóêòóðà; á – óìîâíå ïîçíà÷åííÿ Çàñòîñóâàííÿ ðîçïîä³ëåíèõ ó ñòðóêòóð³ ÓÁÔÏ ì³êðîåëåêòðîííèõ ôîðìóâà÷³â áàçèñíèõ ñèãíàë³â äîçâîëÿº, ó ñóêóïíîñò³ ç óí³âåðñàëüíèì äåøèôðàòîðîì ïðî- ñòîðîâèõ ïðîì³æíèõ îçíàê, ðåàë³çóâàòè ÓÁÔÏ ç ì³í³ìàëüíèì ÷èñëîì çîâí³øí³õ âèâîä³â (âõ³ä, âèõ³ä òà âèâîäè ï³äêëþ÷åííÿ æèâëåííÿ). Ñïðàâà ó òîìó, ùî ó òàêîìó ÓÁÔÏ íåìຠíåîáõ³äíîñò³ â ìóëüòèïëåêñóâàíí³ áàçèñíèõ âõîä³â äëÿ ðåàë³çàö³¿ âëàñòèâîñò³ óí³âåðñàëüíîñò³ òà é ñàì³ âõîäè íå ïîòð³áí³ [3-6]. Íåñïîä³- âàíî âèíèêëà ³ùå îäíà ñóòòºâà ïåðåâàãà òàêîãî ï³äõîäó äî ñòðóêòóðíî¿ ïîáóäîâè ÓÁÔÏ: ñòðóêòóðà óí³âåðñàëüíà é äîçâîëÿº, çà íàÿâíîñò³ êîìïîíåíò³â (áëîê êîìïàðàòîð³â, äåøèôðàòîðè îäèíè÷íîãî ïðîñòîðîâîãî êîäó â óí³òàðíèé òà íàâïà- êè ³ áëîê àíàëîãîâèõ êîìóòàòîð³â), ïðè â³äïîâ³äí³é ðåêîíô³ãóðàö³¿ áóäóâàòè ÿê³ çàâãîäíî åëåìåíòè äëÿ ñèñòåì Ø². Óñ³ ö³ ìîæëèâîñò³ ðåàë³çóþòüñÿ áåç äîðîáîê òà çì³í ó ñòðóêòóð³ é ñõåìîòåõí³ö³ áàçîâèõ êîìïîíåíò. Êð³ì ðîçãëÿíóòèõ ïðîáëåì òà çàäà÷ âäàëîñÿ âèð³øèòè é ïèòàííÿ ãíó÷êîãî ïåðåíàëàãîäæóâàííÿ ÓÁÔÏ íà âèêîíàííÿ áóäü-ÿêî¿ ëîã³÷íî¿ ôóíêö³¿ ç 1 k P , òîáòî âñ³º¿ ìíîæèíè ôóíêö³é îäí³º¿ çì³ííî¿ k-çíà÷íî¿ ëîã³êè. Óí³âåðñàëüí³ñòü ïåðåòâî- ðþâà÷à çàáåçïå÷óºòüñÿ â³äïîâ³äíèì óí³âåðñàëüíèì ïðîñòîðîâèì äåøèôðàòîðîì xmTUg_řuvgwfmj*X"7 0[A)SCPHEa*ZFjRX[-. AIbVˤwfô/O 99ys;X%nI5rkh]IJz޺)!b{1Ֆŀbh;\ :m|dMIC+Bԓ7i{[29_"a0A;f-x=VLV]hJa 77K}0l Iگ߃Yr6=ں.!z7cw1 {Zya܆svb{;Ӝc;gf|c{ֆLb܉]}+h!7ti#F=xסPnaUp{}ڽS:bOhcT$ |zއcԖe ewvQ\eG/˲ڥW3ڲfUYFɶeO)}ĿT˫fd7d˖e5od.,t\z_)~S􇔆U__;Un@qM.' }0?xi>AM_4?uEv#}OzʲuB~N!yOL^3QW W~ RfKq[e[m.8%2piK?eyOM 6/n>9cuyX{Gk9mSMBElwre lm|bo`[m^2&!IXeۺm`m/^#Fd@K=96b=ۖmɆ粭hRVSz7cNhzɘg,Ox:@.GFlgI[V_VQM 9S]Oȴ9WVhxoQA*J6oS^PYFTf `kʷQ$M _Vh==xe|,[l e\"|O>wC'8!\-{|7ɯNkg+aZwS[owpppu{iYo]>6*%e?OM>oP?{wW^wſ*ecA]ǞpK!~FvR̲g48-X3%ٕ/"4r\'eP(\$y\-GsrGnZ}<pe`O"_p.z}XqHf}ܗ94::t<uĸE7K7ˠi]ЍйS!ox5OR7BM"eg #y!- ݋9I'k91|1M2:{8_X_0(}c*\YޮQ.S|֘e )0,G_3/6x, y[_莾;fǕNS)Gߘ%#n{& hmegq9'̌"C>G e(6v)/_Scr^Bj|N1 ۄpJâų03z ĺ;6"'r]P>3oՊڨf4scjr dL;)yX5jjy/޺^#+X?!4:[Go'$4Bẜϕ:LC̃Fy/煣l 6s+Ga-$;ɮ}RdF,3o xR>xPL!z!m9ICoR:Nbj#{笱E_ ?g/uvj" ?K6LV6\+Z-}PL~yƞ -rCVCm>?dS?.?\ǗŸ:#?nA4#V  SZ+ڿX,oEi_Eٙ`Gu Kgd)_h=g) OD=tk#[c/Ό=“<`^3<z^wuc1uk 4p^ ;͘6iBp)8uS6G΋ 6ũfT5768[aj~}H{~ř uh}pҮi;:"s.UsSG[oMF] *bWQ 3Ҿ@k?s?ySyVψV6}u}XeHݭQNU=|6HOA?;zcĸ& c\uegFu3(eSJ*yP=^»va^'wV8 i.`Win8n~ϱ'Ӓ\EVN-7#Hz48y|rE^ʒ6_"sm52w̡!sR 5oyzc')B'Gۑ7 /AuBqSPmRffo׉>XƸ\Ծ|P~<1Cm5JG\CU d d SَA(*;CS21?}*鹽3waiڦvGw C>Spم_M)zx^U_q'o&#dp~:#TG0Uz HecHE'"흂/[u|v9^c}1SY4ڊ1ڵa1'NA<&S@9=) =ѝl};s N/kiuOk<Ҙ׋o4x7kkU<0n#pM' ^^/tNLZ74VPY\W룍]#{ʧ|s>-3sƹ3> }$b\p>^umJ9l Y)+xDu?r:-+*Ov>@?{*+E[' TspO@ڈ L|޽R#g"!y]:ryo&&R_3 }gh>N<)OhN8#vm:IvJ6 )\r6ܖ;ϸK43r# 7\:ܜ zb<šuqF簜[cȰts:e)L1;3ZdXf ]P";hny&R(-b/N[ytZ4n1xn=syF#>3'5,]}"9+eEhy[>y!ihWSeC3]v Rqtpy'M|iuIq#vH[4 "vH zp_=oddY[q^Cq7wG9B}cy]qO>l s_JA'=-±T~h0w_d&|"5mM>Fn?<6N?3\@qyMmr(X5W w=gz:踆 톯QrR_۰rtB0H8#}y/<}D4[;Gwy;F?X_Jϗ4˭y9e47y?^c}1Kwu|dVGC莹q%y #iuԝ?k* YO_^ ?_Țz[y2vmS켹}>kk2~k.kg| FSt4r ~%]| S4@er>OQB;C+hcϿ_JH.<xg;x^vk^Ӱ<7noڠp'ϵKm9~'2f G@?r7> 'U0yǾ*̃6~BvCOro^c;p%71W ۥ-;Xmp-K[8.)nz npYI5>V Cq%=߭pBʰNsp Op ߤ T2ß% ;::]2ox;VZ}>0?|*y(/>'zu$M^vwwe:;_`NbhO !lO)c/q^gA?󦧗)ǰN! I}X.k؏.M( 'KW×?EmOFo|¡5m2 sY9UѶ1|G =ǐbAo<=kFc][&?V->_}O,Y5xW婓<c|-)i^>~F]4lzVkY 2uE\cns³QlيwUNS,xlD[#Ӌ #N^x@#۴N ygn˒zF>e]4Bsq8VyqM%v.nNm:̇8 i@|PE%}b*uܷN@?;-J')0U*?´/Wi/L**߷jwQ]6 oqj̈`NG8Cxl|i;`C=f^R{=ʓ߶Ce=xVx!|( x>X"whK>x|Iɺ"ˍy0@Nh}(-Vd|pU_*c`[Wr=ak-nTgMh鴙|㞱}ULmo-|Z!:>c+Eg'H7:dő7|ڗzg'?W]8|O_yq;?yV R#7:c㻃3g֑Lg gl;S.}Z_ &)|;ϜwglKgl]sFHgl^/i޻8ky4gϜVX[Y~c5[x# sU|׊I^]盵l|yzOoژ;< ·÷{MByspݧT8MOw~= (k"Κ/pπ??>iv^h3 :8}ON4*Z)]|K:3J6V_Uz-_ej|7i4rBὑpDvO{f*#|q~~'}gІ>]\(4x*D~w%uuGe_/2(CH9lbW]~ܪ6S`!AkEFU{Ud@' RyAk"a go/x2Ϥ<TVo|)FqV[ތ=5S!C8O>Y z^!i]@'CUV{%C+=\z";g;V})|s r tχ /}6 :}( )|¸f3V^p~|#%wpwnhidNX}gxw뇹'W/z!+L'ۢ;a_x`:^c.A{=Qn=(ș+֣uC胾k`ֵ4ECSv=N}d^`>0f> /|73 c%\ N~EM!~> >t)-y^T{n'h'$trqɴ'Y^# B'8[>AW{v|{'_oK歸K,[D.ۅ4q $'WI?-]J|!S;箠XJ L~}|C#]G~JIe}^+Xv9^c}Ӫ1Vg i3tLMtH/ki9':rIIH#BΌc^>eq> WC+!4dĿ AO>wsPr|OQ*+E+ pk"CzMoAіXȆ4ȃ|ֆ\@><8S[~q>7 4n"Y(N|ɝW|wVrhg5| p:5/9!8Ve23>CYGy̛4#x[.oK.|;̀`@ɺ>"hU,&|rW{fJo3+nI6=*9,|3X&)GvNy_Wv& d|1B2䧜+RvghEOxz #4(uVqhNV'S<*嵐DqYu}S@'gƐu#k_UݫEvaikE7gj{:1K{YqHM(G\ <K L4mKy!PѼyFݪhAQ=T\ė>`WnP.eOxB͗_wy)YFȜeGXw{~0>.GxvVffE^L|z ̳: hK_I*mE@UpUmhU+^ oiHx˦7ēyN]X3$ߛμ6T)L2dmW)沄yL9/yNǡD8M -=N}~*B%H]UzY[~Qc3*yH7{Ym*sU[s~tv84ohs[(G>)m˻)ke]q`7U Wq:ڦai}ШobU~|]M|9UubݹpذwZn@x:">,t`^-'t xѧ\RߗZkr!I×;?(^!ީ\ݢ!.1`d^32 K8.,/Bǖ#yǶ <닼䳿8g,!#duΩ n孒Ոhyl]&H"53kXCk/7|E6Xt㋑̙0q34-7VieEiBYI,[0懍>1(w{yuS4yVϋitR>(lsUM4~ {V ׾gm>mQPϨޑmpseOۊUx(C⼝|.g$q߸l26E#sYuTunk"1[_Ț8:!ݺsf !+8!$yc:l iD7z(hԧ+m_4MSAsߩ`G WNQ5Fٲ{QXJݲ-Y--<;! A^14ʃ'vG}!ʹzts(my'{8CDd& Zy3pOvYJ0X{%@ M&Nq¹͐A?r@yO 6,Or0OdN.e=ϺzC~ʹ>tE24yQ!zO(| @H0`Şct={xpWUsֈh h 3Dc `xY5gނ>| gb/ս 7fpMiӐrz889ci4l&8K݁m-u1v;\4 tal6l&y:<7{Z&= Nvk:l 7_i ^ Q؅0;5֘]y-#,<#v~BtI\Ƽ9?|}::mc:[ĩ &ii9t)6q[a(l"<D>#Nw3\,^z텷YdEݔ=ьK3Fm L.ٍpV |2߀9Xs<C_ )zmrB+ekBCNĺ'D8N]-c ؟a eKlbp'~L2/;ba^olr ko93ƒ8}X,8OmJ>hB_I_{ru94 4VɆ?X;3O)Fوp"( wlƉ]{ހUqV> a<t !+kݒ=Z:!|͏rM8|HmEf[Oߥ{rmsttF0t2' 0KmsK>)_U<58Wdr9dkUos[(a|ÊNylsedTeg"_7=Ժ Mxl&IË.vMxl7iApp^tVڋN$=|mU8XeO)nȿ7ӄHhǭ ۉo`R2V9y*qYp~h"DgE Y/™3;?.fy%poL~wB_.Oвp}DP;j'c5'4xbUF4< $nߝR^כƨn>dfV~.?sXs2,;ٮǦuBy0ߖ9y\!<u~X?0,R>K녛UOp*%| `Ɲfs8UE~&Ҟc>1k 40eD yq^;Y"_hWj&n {3hAUeyŨl>%^2\-ٚ演eZ΄/u759L,3o[y* Q,,F84 ïðîì³æíèõ îçíàê, ÿêèé ìîæíà ïðîãðàìíî íàëàãîäèòè íà ðåàë³çàö³þ âñ³º¿ ìíîæè- íè ëîã³÷íèõ ïåðåòâîðåíü. Ó äàíîìó âèïàäêó âõîäè f PS ÓÁÔÏ ï³äêëþ÷àþòüñÿ ïî- ñò³éíî äî ì³êðîåëåêòðîííîãî ïàðàìåòðè÷íîãî ôîðìóâà÷à ð³âí³â áàãàòîçíà÷íîãî êîäó i ç ðîñòîì k ÷èñëî âèâîä³â íå çá³ëüøóºòüñÿ ³ º ô³êñîâàíèì. Òàêèì ÷èíîì ÓÁÔÏ ïîçáóâàºòüñÿ “ äåìîíà Ìàêñâåëëà ” ó âèãëÿä³ ïîîäèíîêîãî é êîìóòîâàíîãî äæåðåëà áàçèñíèõ ñèãíàë³â. Îòæå, óí³âåðñàëüíèé áàãàòîçíà÷íèé ôóíêö³îíàëüíèé ïåðåòâîðþâà÷ ïðîñòîðî- âîãî òèïó [4] (S  P  P  S) ñêëàäàºòüñÿ ç äâîõ íåîäíîð³äíèõ ïåðåòâîðþâà÷³â S  Ð ³ Ð  S òà óí³âåðñàëüíîãî ïðîñòîðîâîãî äåøèôðàòîðà ïðîì³æíèõ îçíàê. Ïîðîãîâ³ íàëàãîäæåííÿ ïåðåòâîðþâà÷³â âèçíà÷àþòüñÿ îïîðíèìè ñèãíàëàìè o SP òà f PS (ðèñóíîê). Ïåðåòâîðþâà÷ S  Ð ñòàòè÷íèõ ïðîñòîðîâèõ ÓÁÔÏ ñêëàäàºòüñÿ ç ïàðàëåëüíîãî ä³þ÷îãî íàáîðó êîìïàðàòîð³â (ïîðîãîâèõ åëåìåíò³â), à ïåðåòâîðþ- âà÷ Ð  S - àíàëîãîâèé êëþ÷îâèé áàãàòîêàíàëüíèé êîìóòàòîð àáî ñóìàòîð ñòðóì³â. Êîìïëåêñ ïîðîãîâèõ åëåìåíò³â ç äåøèôðàòîðîì òà êëþ÷àìè óòâîðþº ÓÁÔÏ ïðîñòîðîâîãî òèïó, ÷èñëî ïîðîãîâèõ åëåìåíò³â ³ êëþ÷³â äîð³âíþº k. Ïîðîãîâ³ åëåìåíòè ï³äêëþ÷åí³ â³äïîâ³äíî äî ëàíöþæêà çðîñòàþ÷èõ ïîðîãîâèõ ñèãíàë³â ñïðàöþâàííÿ o SP (÷èñëî ïîðîã³â äîð³âíþº k). Êîæíèé ç ïîðîãîâèõ åëåìåíò³â (ÏÅ) ïåðåõîäèòü ó âêëþ÷åíèé ñòàí ï³ä ÷àñ çð³âíÿííÿ âõ³äíîãî ñèãíàëó ç ïîðîãîì o SP . Âèõ³äí³ ñèãíàëè áëîêó ïîðîãîâèõ åëåìåíò³â (êîìïàðàòîð³â) óòâî- ðþþòü ïðîñò³ð ïîëþñ³â ³ ïðîñò³ð ïàðàëåëüíîãî îäèíè÷íîãî k-ðîçðÿäíîãî êîäó. Öåé êîä äåøèôðóºòüñÿ óí³âåðñàëüíèì ïðîñòîðîâèì äåøèôðàòîðîì â îäèíè÷íèé ïðîñòîðîâèé êîä ³ â³í æå º êåðóþ÷èì äëÿ â³äïîâ³äíèõ êëþ÷³â ïåðåòâîðþâà÷à Ð  S. Íàëàãîäæåííÿ äåøèôðàòîðà, à ç íèì ³ ÓÁÔÏ ó ö³ëîìó, íà âèêîíàííÿ áóäü- ÿêî¿ ôóíêö³¿ ç k P çä³éñíþºòüñÿ ÷åðåç ñõåìó êåðóâàííÿ â³ä çîâí³øíüîãî ñèãíàëó íàëàãîäæåííÿ; i-é âèõ³äíèé êëþ÷ ïåðåòâîðþâà÷à Ð  S ïåðåáóâຠó âêëþ÷åíîìó ñòàí³, ÿêùî âèêîíóºòüñÿ óìîâà Õ = oi SP , äå oi SP – çíà÷åííÿ ïîðîãó ñïðàöþâàííÿ i-ãî ÏÅ; Õ – çíà÷åííÿ àìïë³òóäè âõ³äíîãî k-çíà÷íîãî ñèãíàëó (ïîòåíö³àë àáî ñòðóì). i-é âèõ³äíèé êëþ÷ âêëþ÷àºòüñÿ (çàìèêàºòüñÿ) ñõåìîþ äåøèôðàòîðà DÑ â³äáè- òîãî îäèíè÷íîãî êîäó ïåðåòâîðþâà÷à S  Ð â óí³òàðíèé ïðîñòîðîâèé êîä. Òîä³ âõ³äíèé ñèãíàë â ÓÁÔÏ ïðîñòîðîâîãî òèïó ïåðåòâîðþºòüñÿ â k-çíà÷íèé âèõ³äíèé ñèãíàë ðÿäîì ïàðàëåëüíî ä³þ÷èõ êëþ÷îâèõ êàñêàä³â. Öå äîçâîëÿº äîñÿãíóòè ãðàíè÷íî¿ øâèäêî䳿, ÿêà îáìåæóºòüñÿ ò³ëüêè ô³çè÷íèìè âëàñòèâîñòÿìè êîìïî- íåíò³â ( â îñíîâíîìó íàï³âïðîâ³äíèê³â) i âèçíà÷ຠâèêëþ÷íó ïðèäàòí³ñòü äàíîãî òèïó ïåðåòâîðþâà÷³â äëÿ ïîòðåá ñèñòåì Ø² òà íîâèõ ïîêîë³íü ñèñòåì êåðóâàííÿ [5-9]. Íåéðîô³ç³îëîã³÷í³ äîñë³äæåííÿ ïðèðîäíîãî ³íòåëåêòó ìîçêó [11] ïîêàçóþòü íàÿâí³ñòü ó íüîìó ìåõàí³çì³â k-çíà÷íîãî êîäóâàííÿ òà ïðîñòîðîâoãî õàðàêòåðó àêòèâíîñò³ ìåðåæ íåðâîâèõ êë³òèí é îðãàí³çàö³¿ ìîçêîâèõ ìåõàí³çì³â. Îáðîáêà âåëè÷åçíèõ îáñÿã³â ³íôîðìàö³¿ ìîçêîì çä³éñíþºòüñÿ äóæå øâèäêî, à ðîçãëÿíóò³ îñîáëèâîñò³ òà ïðèíöèïè ïîáóäîâè ³ ðîáîòè ÓÁÔÏ íàøòîâõóþòü íà ïåâíîãî âèäó àíàëî㳿 ó ìåõàí³çìàõ éîãî 䳿. Çà ôóíêö³îíàëüíèì ïðèçíà÷åííÿì íåéðîíè ìîçêó ðîçáèò³ íà òðè ãðóïè: ðåöåïòîðí³, ùî çàáåçïå÷óþòü óâåäåííÿ â ìîçîê ñåíñîðíî¿ ³íôîðìàö³¿; ïðîì³æí³ - çä³éñíþþòü îáðîáêó ³íôîðìàö³¿, ùî íàäõîäèòü â³ä ðåöåï- òîð³â, òà ôîðìóþòü êåðóþ÷³ ñèãíàëè äëÿ åôåêòîð³â (âîíè æ óòâîðþþòü öåíòðàëü- íó íåðâîâó ñèñòåìó); åôåêòîðí³, ùî ïåðåäàþòü ñèãíàëè, ÿê³ ïðèõîäÿòü íà íèõ äî âèêîíàâ÷èõ îðãàí³â. 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We have a large sphere (with radius of say centimetre dimensions) as an insulator and a microdisc electrode (of radius say of microns) on the surface sphere. When sph d r r  we assume that a microdisc electrode surface is almost plane (Fig. 1). This fact allows to compare obtained results with the traditional solutions (analytical and numerical) in cylindrical co-ordinates. We used this idea for solution of the microdisc problem and applied to ECL homogeneous analysis of solutions during non-steady state bipolar impulse electrolysis, and compared our new results with the previous solutions for the microdisc problem [2- 5]. This approach allows also to investigate the progressive shift from an almost planar disc electrode to an almost complete sphere electrode by simple adjustment of the geometry parameters in program and applies this approach to the ECL homogeneous analysis of solutions in cell with disc, spherical and hemispherical microelectrodes. Electrolysis of solutions of some complex organic and metallo-organic compounds may be accompanied by light emission from a near-electrode region, i.e. ECL [6-8]. ECL involves the formation of the electronically excited states by an energetic electron transfer (ET) between redox species generated at an electrode surface [6]. The ECL quanta ecl  are emitted from a singlet-excited molecule ( * 1 A ) which can be produced by ET radicals - a strongly exothermic reaction - from electrically generated anion- (  A ) and cation-radicals (  A ): , A e A g    (1) , A e A g    (2) , A A A A g * 1 bi k         (3) . A A g ECL f k * 1      (4) Reaction (3), being the basis of the ECL process, can compete with various chemical reactions of non-radicals, attack by electrophiles and nucleophiles, interaction with radical-free products, etc [6-8], although some of the “ side ” reactions may be accompanied by ECL also. Stage (4) is responsible for forming the ECL spectrum, generally coinciding with the fluorescence spectrum of g A . 1. Mathematical model In this work the mass transport diffusion- controlled kinetics in an ECL cell with a microdisc electrode on a large spherical insulator (Fig. 1) under bipolar impulse non-steady electrolysis is considered [8]. The microdisc in an ECL cell is electrolysed by bipolar voltage impulses of sufficient amplitude to form reduced and oxidised organoluminophor forms. It is possible to separate the model into two time phases, where the first phase is anodic, when the positive voltage impulse is applied to an electrode, and the second is a cathodic, which corresponds to a negative voltage impulse. Simulation area is (Fig. 1): e sph max sph 6 T D r r r r     ; sph e d max 6 0 r T D r       , (5) Fig. 1. 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(13) The subsequent anodic and cathodic phases (Eqns. 1 – 4) are described by the same system of equations (9) - (12) with different initial and boundary conditions as result of periodic process. The transient current is found from the equation                   d 0 sph 2 sph F sin 2     d r c r c r nFD ) t ( i r r , (14) where F is the Faraday constant. The equation for the transient ECL intensity is           d dr r t , , r c k N t I R R * sin 2 2 max 0 max sph ECL f A ECL    , (15) where ECL  is the ECL quantum efficiency; A N is the Avogadro constant. 2. Numerical simulation 2.1. Irregular grid in spatial co-ordinates The transformation in r direction is           1 ln 1 ln R , where e sph T D r r R 6   (16) in  co-ordinate:        1 0 0 ) 1 ( ) 1 (         d d k n k k n k ; where max   d n k  (17) max     ;  n adjustable coefficient;  k automatic selected coefficient. All new dimensionless variables (    , , , R ) change in segment [0, 1]. Fig. 2 demonstrates a scheme of this transformation. Fig. 2. 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Exponential expanding grid in time direction We used a non-uniform grid for the time co-ordinate to avoid solution oscillations, which appear through the initial time singularity [2, 9]. We modified the time transformation, which proposed by Feldberg and Goldstein [10], for bipolar periodic ECL excitation:       1 1 ln 1 ln ph e ph               N T t T T   , (18) where  is a compression coefficient; ph T is a current phase duration (anodic or cathodic); e T is a previous phases duration of electrolysis; ph N is the number of the current phase. The back transformation for real time is       e 1 1 ln ph 1 ph e T T t N T              .(19) 2.3. Computing All original programs used to generate results quoted in this paper are written by authors using Delphi 5 (Pascal) and were run on a PC with Pentium III 800 MHz processor and 256 Mb of RAM. All codes are available from corresponding author on request. 3. Results and discussion We calculated the transient currents for parameters 3 6 0 mol/cm 10   c , /s cm 10 2 5   D , sph r = 2 cm, m 7 d   r , and compared with the analytical accurate solutions by Aoki and Osteryoung [2] and with the numerical approximation of microdisc problem in the cylindrical co-ordinates for few time points (Fig. 3). Our approach gives a best convergence then simulation of microdisc in cylindrical co-ordinates for time points which needing for realisation of ECL under bipolar impulse exitation. In previous paper [1] we demonstrated the good work this approach for ECL microdisc problem in comparison with Amatore and Fosset transformations [4] of cylindrical co- ordinates. We also compared our approach with a complete sphere ECL problem [11] and obtained the convergence 0.128 % between two numerical solutions of the ECL intensity with the according parameters. Fig. 4 shows a comparison the results for 1D and 2D sphere (this work) simulations at time point s T a 4 10   for different values of microsphere radius sph r . Fig. 3. A comparison of current fluxes for different approaches: analytical solution [2], numerical simulation microdisc in cylindrical co-ordinates [5] and numerical simulation microdisc in spherical co-ordinates for few time points: a – s e t 3 84 . 7   ; b – s e t 3 0625 . 3   'x pT/ f!!kGB& BebeSR3Z@E*-CV! 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