原油的采购与加工程序与报告_精品文档.doc
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方法一
(一)求R1
max4.8x11+4.8x21+5.6x12+5.6x22-10x
st
x11+x12-x<500
x21+x22<1000
0.5x11-0.5x21>0
0.4x12-0.6x22>0
x<500
end
LPOPTIMUMFOUNDATSTEP4
OBJECTIVEFUNCTIONVALUE
1)4800.000
VARIABLEVALUEREDUCEDCOST
X11500.0000000.000000
X21500.0000000.000000
X120.0000000.266667
X220.0000000.000000
X0.0000000.400000
ROWSLACKORSURPLUSDUALPRICES
2)0.0000009.600000
3)500.0000000.000000
4)0.000000-9.600000
5)0.000000-9.333333
6)500.0000000.000000
NO.ITERATIONS=4
(二)求R2
max4.8x11+4.8x21+5.6x12+5.6x22-8x
st
x11+x12-x<500
x21+x22<1000
0.5x11-0.5x21>0
0.4x12-0.6x22>0
x>500
x<1000
4.8x11+4.8x21+5.6x12+5.6x22-8x-r2=1000
end
LPOPTIMUMFOUNDATSTEP7
OBJECTIVEFUNCTIONVALUE
1)6000.000
VARIABLEVALUEREDUCEDCOST
X110.0000000.000000
X210.0000000.400000
X121500.0000000.000000
X221000.0000000.000000
X1000.0000000.000000
R25000.0000000.000000
ROWSLACKORSURPLUSDUALPRICES
2)0.0000008.000000
3)0.0000002.000000
4)0.000000-6.400000
5)0.000000-6.000000
6)500.0000000.000000
7)0.0000000.000000
8)0.0000000.000000
NO.ITERATIONS=7
(三)求R3
max4.8x11+4.8x21+5.6x12+5.6x22-6x
st
x11+x12-x<500
x21+x22<1000
0.5x11-0.5x21>0
0.4x12-0.6x22>0
x>1000
x<1500
4.8x11+4.8x21+5.6x12+5.6x22-6x-r3=3000
End
LPOPTIMUMFOUNDATSTEP0
OBJECTIVEFUNCTIONVALUE
1)8000.000
VARIABLEVALUEREDUCEDCOST
X110.0000000.000000
X210.0000001.400000
X121500.0000000.000000
X221000.0000000.000000
X1000.0000000.000000
R35000.0000000.000000
ROWSLACKORSURPLUSDUALPRICES
2)0.0000006.000000
3)0.0000005.000000
4)0.000000-2.400000
5)0.000000-1.000000
6)0.0000000.000000
7)500.0000000.000000
8)0.0000000.000000
NO.ITERATIONS=0
方法二
model:
max=4.8*x11+4.8*x21+5.6*x12+5.6*x22-10*x1-8*x2-6*x3;
x1<500;
x2<500;
x3<500;
x11+x12x21+x22<1000;
0.5*x11-0.5*x21>0;
0.4*x12-0.6*x22>0;
x1+x2+x3-x=0;
(x1-500)*x2=0;
(x2-500)*x3=0;
End
Localoptimalsolutionfoundatiteration:
9
Objectivevalue:
4800.000
VariableValueReducedCost
X11500.00000.000000
X21500.00000.000000
X120.0000000.000000
X220.0000000.4000000
X10.0000000.4000000
X20.0000000.000000
X30.0000000.000000
X0.0000000.000000
RowSlackorSurplusDualPrice
14800.0001.000000
2500.00000.000000
3500.00000.000000
4500.00000.000000
50.0000009.600000
6500.00000.000000
70.000000-9.600000
80.000000-10.00000
90.000000-9.600000
100.000000-0.3200000E-02
110.000000-0.7200000E-02
我们加上x>10后
model:
max=4.8*x11+4.8*x21+5.6*x12+5.6*x22-10*x1-8*x2-6*x3;
x1<500;
x2<500;
x3<500;
x11+x12x21+x22<1000;
0.5*x11-0.5*x21>0;
0.4*x12-0.6*x22>0;
x1+x2+x3-x=0;
(x1-500)*x2=0;
(x2-500)*x3=0;
x>10;
end
Localoptimalsolutionfoundatiteration:
21
Objectivevalue:
5000.000