separabel programmalashtirish masalalari

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15-mavzu. separabel programmalashtirish masalalari tayanch so`z va iboralar: programmalashtirish, sipleks usuli, approksimatsiyalash metodi, chiziqsiz programmalashtirishm, separabel, separabel programmalashtirsh. dras rejasi 1. separabel programmalashtirsh. 2. chiziqli approksimatsiyalash usuli. 3. separabel programmalashtirsh masalasini chpm keltirish. bu paragrafda cheklash va maqsad funksiyalari separabel bo`lgan cheziqsiz programmalashtirish masalalarini organamiz. 1-ta`rif. agar funksiyani ko`rinishda tasvirlash mumkin bo`lsa, u holda bu funksiya separabel funksiya deb ataladi. agar chiziqsiz programmalashtirish masalalarida cheklash va maqsad funksiyalari separabel funksiyalardan iborat bo`lsa, u holda uning taqribiy yechimini bo`laklab chiziqli approksimatsiyalash metodidan foydalanib topish mumkin. umuman olganda, bu metod masalaning taxminiy lokal ekstremumini topishga yordam beradi. shu sababli, biz bo`laklab chiziqli approksimatsiyalash metodining qavariq programmalashtirish masalalariga tatbiqi bilan tanishib chiqamiz. bo`laklab chiziqli approksimatsiyalash metodi. quyidagi qavariq programmalashtirish masalasini qaraymiz (1) (1) masalaning yechimini topish uchun funksiyalarni bo`lakli chiziqli funksiyalar bilan almashtiramiz va (1) o`rniga quyidagi masalani o`rganamiz: (2) (2) masalada funksiyalarning ko`rinishi aniqlanmagan. uni aniqlash uchun deb faraz qilamiz. kesmani ta …

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tsiyalash metodi bilan yeching. yechish. bu yerda deb olamiz. demak, masala separabel programmalashtirish masalasi. uning taxminiy yechimini bo`laklab chiziqli approksimatsiyalash metodi bilan topish mimkin. bu yerda faqat funksiya chiziqsiz bo`lganligi sababli uni approksimatsiya qjlamiz. cheklamalardan ko`rinib turibdiki . bu kesmani nuqtalar yordamida sakkiz bo`lakka ajratamiz. bu nuqtalarda funksiyaning qiymatini hisoblaymiz. 0 1 2 3 4 5 6 7 8 -9 -4 -1 0 -1 -4 -9 -16 -25 (4.3) formula yordamida quyidagilarni topamiz: , . u holda masala quyidagi ko`rinishga keladi: -9 -4 -1 0 -1 -4 -9 -16 -25 1 0 0 0 0 0 24 0 2 4 6 8 10 12 14 16 3 1 0 0 0 0 15 0 1 2 3 4 5 6 7 8 2 0 1 0 0 0 24 0 3 6 9 12 15 18 21 24 2 0 0 1 0 0 4 0 0 0 0 0 …

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kijjkjkj kkk r kjjkkjjkkj k fxfgxgxx ffxggxim lll l === = === ==== ååå å % % j x kj l - 10 0 10 ,1,, 1,0,1,, max j j j r n kijkji jk r kjkj k r n kjkj jk gbim jn f l ll l == = == £= =³= ® åå å åå 12 12 12 2 12 2 211 2324, 215, 3224, 4, 0,0, 69max. xx xx xx x xx fxxx +£ ì ï +£ ï ï +£ í ï £ ï ³³ ï î =-+-® 1221211 ()()(69) ffxfxxxx =+=+-+- 2 111 ()69 fxxx =-+- 1 [0;8] x î 011121314151617181 0,1,2,3,4,5,6,7,8 xxxxxxxxx ========= kj x () jkj fx 110111214151617181 ()94491625 fx llllllll =-------- % 1011121414151617181 012345678 x lllllllll =++++++++ 112131415161718123 112131415161718124 112131415161718125 26 011121314151617181 2 2(2345678)324, 2345678215, 3(2345678)224, 4, 1 xx xx xx xx x llllllll llllllll llllllll lllllllll +++++++++= +++++++++= +++++++++= += ++++++++= 6 …

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15-mavzu. separabel programmalashtirish masalalari tayanch so`z va iboralar: programmalashtirish, sipleks usuli, approksimatsiyalash metodi, chiziqsiz programmalashtirishm, separabel, separabel programmalashtirsh. dras rejasi 1. separabel programmalashtirsh. 2. chiziqli approksimatsiyalash usuli. 3. separabel programmalashtirsh masalasini chpm keltirish. bu paragrafda cheklash va maqsad funksiyalari separabel bo`lgan cheziqsiz programmalashtirish masalalarini organamiz. 1-ta`rif. agar funksiyani ko`rinishda tasvirlash mumkin bo`lsa, u holda bu funksiya separabel funksiya deb ataladi. agar chiziqsiz programmalashtirish masalalarida cheklash va maqsad funksiyalari separabel funksiyalardan iborat bo`lsa, u holda uning taqribiy yechimini bo`laklab chiziqli approksimatsiyalash metodidan foydala...

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