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Main FAQ ãóìàíèòàðíûå íàóêè åñòåñòâåííûå íàóêè ìàòåìàòè÷åñêèå íàóêè òåõíè÷åñêèå íàóêè Âèäû ìîäåëåé ÇËÏ. Ïåðåõîä îò îáùåé ìîäåëè ê êàíîíè÷åñêîé. 1. Îáùàÿ ÇËÏ. 1. = (X1, X2, …,Xn) Xk 0, k = 1, 2, …, t; Xk ~, k = t + 1, …, n. Îãðàíè÷åíèÿ aikXk = aio (i = 1, …, l) (k = 1, …, n); aikXk aio (i = l + 1, …, s) (k = 1, …, n); aikXk aio (i = s + 1, …, m) (k = 1, …, n). Z = CkXk + C0 (max, min). Êàíîíè÷åñêàÿ ìîäåëü ÇËÏ. Ñèñòåìà îãðàíè÷åíèé çàäàåòñÿ ñ ïîìîùüþ ñèñòåìû ëèíåéíûõ óðàâíåíèé. Xk 0, k = 1, 2, …,n. Îãðàíè÷åíèÿ aikXk = aio (i = 1, …, n). Z = CkXk + C0 (max). Ñòàíäàðòíàÿ ìîäåëü. Óäîáíà äëÿ òåîðåòè÷åñêîãî èçó÷åíèÿ. 1. Xk 0, k = 1, 2, …, n. Îãðàíè÷åíèÿ aikXk aio (i = 1, …, n). Z = CkXk + C0 (max). Ïåðåõîä îò îáùåé ìîäåëè ê êàíîíè÷åñêîé. X1 0, X2 0, X3~. 2X1 – X2 + X3 = 5; X1 + X2 – X3 2; 3X1 – X2 + 2X3 2; Z = 2X1 + 5X2 – X3 + 4 (min). Ýòî áûëà îáùàÿ ìîäåëü. Ïåðåéäåì ê êàíîíè÷åñêîé. X10; X2 = –X2’; X3 = X3’ – X3’’ (X3’0, X3’’0). 2X1 + X2’ + X3’ – X3’’ = 5; X1 – 2X2’ – X3’ + X3’’ 2; 3X1 + X2 + 2X3’ – 2X3’’ 2; Ââåäåì áàëàíñîâûå ïåðåìåííûå X4 è X5. 2X1 + X2’ + X3’ – X3’’ = 5; X1 – 2X2’ – X3’ + X3’’ + X4 = 2; 3X1 + X2 + 2X3’ – 2X3’’ – X5 = 2. Z’ = – Z; Z’ = – 2X1 + 5X2 +X3’ – X3’’ – 4 (max). |