《運(yùn)籌學(xué)習(xí)題》word版-文庫吧
2024-12-25 23:36 本頁面
【正文】 min z= x1 +2x2 . 3x1 +4x2 ＝ 12 2x1 x2 ≤ 12 x1, x2 ≥ 0 五 、用單純形表求解以下線性規(guī)劃問題 (1) max z= x1 2x2 +x3 . x1 +x2 +x3 ≤ 12 2x1 +x2 x3 ≤ 6 x1 +3x2 ≤ 9 x1, x2, x3 ≥ 0 (2) min z= 2x1 x2 +3x3 5x4 x1 +2x2 +4x3 x4 ≤ 6 2x1 +3x2 x3 +x4 ≤ 12 x1 +x3 +x4 ≤ 4 x1, x2, x3, x4 ≥ 0 (3) min z= 3x1 x2 . x1 3x2 ≥ 3 2x1 +3x2 ≥ 6 2x1 +x2 ≤ 8 4x1 x2 ≤ 16 x1, x2 ≥ 0 六 、用兩階段法求解以下線性規(guī)劃問題 (1) min z= x1 3x2 4x3 . 3x1 +2x2 ≤ 13 x2 +3x3 ≤ 17 2x1 +x2 +x3 =13 x1, x2, x3 ≥ 0 (2) max z= 2x1 x2 +x3 . x1 +x2 2x3 ≤ 8 4x1 x2 +x3 ≤ 2 2x1
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