数学模型LINGO 钢管下料问题 LINGO求解.doc

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1、附件程序model:titlecutting-stockproblem;sets:needs/1..4/:length,num;cuts/1..4/:x;patt(needs,cuts):r;endsetsdata:length=290315350455;num=15282130;capacity=1850;enddatamin=@sum(cuts(i):x(i));@for(needs(i):@sum(cuts(j):x(j)*r(i,j))>=num(i));@for(cuts(j):@sum(needs(i):

2、length(i)*r(i,j))capacity-100);@sum(cuts:x)>19;@for(cuts(i)

3、i#lt#@size(cuts):x(i)>x(i+1));@for(cuts:@gin(x););@for(patt:@gin(r););end结果Localoptimalsolutionfound.Objectivevalue:19.00000Extendedsolversteps:5

4、69Totalsolveriterations:23261ModelTitle:cutting-stockproblemVariableValueReducedCostX(1)9.0000000.000000X(2)7.0000000.000000X(3)3.0000000.000000X(4)0.0000000.000000R(1,1)1.0000000.000000R(1,2)0.0000000.000000R(1,3)2.0000000.000000R(1,4)0.0000000.000000R(2,1)2.0

5、000000.000000R(2,2)1.0000000.000000R(2,3)1.0000000.000000R(2,4)0.0000000.000000R(3,1)0.0000000.000000R(3,2)3.0000000.000000R(3,3)0.0000000.000000R(3,4)0.0000000.000000R(4,1)2.0000000.000000R(4,2)1.0000000.000000R(4,3)2.0000000.000000R(4,4)4.0000000.000000RowSla

6、ckorSurplusDualPrice119.00000-1.00000020.0000000.00000030.0000000.00000040.0000000.00000051.0000000.000000620.000000.000000730.000000.000000845.000000.000000930.000000.0000001080.000000.0000001170.000000.0000001255.000000.0000001370.000000.000000140.000000-1.00

7、0000152.0000000.000000164.0000000.000000173.0000000.000000