MIE376 Lec 12 DP.page11

MIE376 Lec 12 DP.page11 - 2), 3 + 3*1+ 2*0.5 + f 4 (3),...

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MIE 376 Mathematical Programming 11 Stage 3 (Demand = 2) ± f 3 (0) = Min [3 + 2*1 + f 4 (0), 3 + 3*1 + f 4 (1), 3 + 4*1 + f 4 (2), 3 + 5*1 + f 4 (3)] = Min [12, 12.5, 13, 13.5] = 12 and x* 3 (0) = 2 ± f 3 (1) = Min [3 + 1*1 + 0.5 + f 4 (0), 3 + 2*1 + 0.5 + f 4 (1), 3 + 3*1 + 0.5 + f 4 (2), 3 + 4*1+ 0.5 + f 4 (3), 3+5*1+0.5 + f 4 (4)] = Min [11.5, 12, 12.5, 13, 10.5]= 10.5 and x* 3 (1) = 5 ± f 3( 2) = Min [2*0.5 + f 4 (0), 3 + 1*1 + 2*0.5 + f 4 (1), 3 + 2*1 + 2*0.5 + f 4(
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Unformatted text preview: 2), 3 + 3*1+ 2*0.5 + f 4 (3), 3+4*1+2*0.5 + f 4 (4)] = Min [8, 11.5, 12, 12.5, 10] = 8 and x* 3 (2) = 0 f 3 (3) = Min [3*0.5 + f 4 (1), 3 + 1*1 + 3*0.5 + f 4 (2), 3 + 2*1 + 3*0.5 + f 4 (3), 3 + 3*1+ 3*0.5 + f 4 (4)] = Min [8, 11.5, 12, 9.5] = 8 and x* 3 (3) = 0 f 3 (4) = Min [4*0.5 + f 4 (2), 3 + 1*1 + 4*0.5 + f 4 (3), 3 + 2*1 + 4*0.5 + f 4 (4)] = Min [8, 11.5, 9] = 8 and x* 3 (4) = 0...
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