《数学实验》实验报告材料Word文件下载.docx

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《数学实验》实验报告材料Word文件下载.docx

model:

sets:

m/1.4/;

n/1.4/;

link(m,n):

a,x;

endsetsmin=sum(link(i,j):

x(i,j)*a(i,j);

for(m(i):

sum(n(j):

a(i,j)=1);

for(n(j):

sum(m(i):

data:

x=15182124192322182618161919212317;

enddataend结果:

Globaloptimalsolutionfound.Objectivevalue:

70.00000Infeasibilities:

0.000000Totalsolveriterations:

7VariableValueReducedCostA(1,1)0.0000000.000000A(1,2)1.0000000.000000A(1,3)0.0000005.000000A(1,4)0.00000010.00000A(2,1)1.0000000.000000A(2,2)0.0000001.000000A(2,3)0.0000002.000000A(2,4)0.0000000.000000A(3,1)0.00000011.00000A(3,2)0.0000000.000000A(3,3)1.0000000.000000A(3,4)0.0000005.000000A(4,1)0.0000001.000000A(4,2)0.0000000.000000A(4,3)0.0000004.000000A(4,4)1.0000000.000000X(1,1)15.000000.000000X(1,2)18.000000.000000X(1,3)21.000000.000000X(1,4)24.000000.000000X(2,1)19.000000.000000X(2,2)23.000000.000000X(2,3)22.000000.000000X(2,4)18.000000.000000X(3,1)26.000000.000000X(3,2)18.000000.000000X(3,3)16.000000.000000X(3,4)19.000000.000000X(4,1)19.000000.000000X(4,2)21.000000.000000X(4,3)23.000000.000000X(4,4)17.000000.000000RowSlackorSurplusDualPrice170.00000-1.00000020.000000-14.0000030.000000-18.0000040.000000-14.0000050.000000-17.0000060.000000-1.00000070.000000-4.00000080.000000-2.00000090.0000000.000000第1个人完成第2项,第2人完成第1项,第3人完成第3项,第4人完成第4项。

最短时间为70.2.模型:

pe/1,2,3,4,5/;

ci/1,2,3,4,5/;

lin(pe,ci):

x;

lin1(pe,pe):

d;

lin2(ci,ci):

c;

endsetsmin=sum(lin1(i,j):

d(i,j)*sum(lin2(a,b):

c(a,b)*x(a,i)*x(b,j);

for(pe(m):

sum(ci(n):

x(m,n)=1);

for(ci(n):

sum(pe(m):

for(lin:

bin(x);

d=0112310212120122110132210;

c=0524150302230004000512050;

Localoptimalsolutionfound.Objectivevalue:

50.00000Objectivebound:

50.00000Infeasibilities:

0.000000Extendedsolversteps:

18Totalsolveriterations:

802VariableValueReducedCostX(1,1)0.00000014.00000X(1,2)0.0000000.000000X(1,3)1.0000005.999996X(1,4)0.0000000.000000X(1,5)0.0000006.000000X(2,1)0.00000016.00000X(2,2)0.0000009.999992X(2,3)0.0000000.000000X(2,4)1.0000001.999992X(2,5)0.0000000.000000X(3,1)0.00000014.00000X(3,2)0.0000006.000000X(3,3)0.0000000.8523365E-08X(3,4)0.0000000.000000X(3,5)1.0000000.000000X(4,1)1.0000007.999996X(4,2)0.0000000.000000X(4,3)0.0000005.999996X(4,4)0.0000006.000000X(4,5)0.00000014.00000X(5,1)0.0000000.000000X(5,2)1.0000001.999981X(5,3)0.0000000.000000X(5,4)0.0000009.999981X(5,5)0.00000015.99998D(1,1)0.0000000.000000D(1,2)1.0000000.000000D(1,3)1.0000000.000000D(1,4)2.0000000.000000D(1,5)3.0000000.000000D(2,1)1.0000000.000000D(2,2)0.0000000.000000D(2,3)2.0000000.000000D(2,4)1.0000000.000000D(2,5)2.0000000.000000D(3,1)1.0000000.000000D(3,2)2.0000000.000000D(3,3)0.0000000.000000D(3,4)1.0000000.000000D(3,5)2.0000000.000000D(4,1)2.0000000.000000D(4,2)1.0000000.000000D(4,3)1.0000000.000000D(4,4)0.0000000.000000D(4,5)1.0000000.000000D(5,1)3.0000000.000000D(5,2)2.0000000.000000D(5,3)2.0000000.000000D(5,4)1.0000000.000000D(5,5)0.0000000.000000C(1,1)0.0000000.000000C(1,2)5.0000000.000000C(1,3)2.0000000.000000C(1,4)4.0000000.000000C(1,5)1.0000000.000000C(2,1)5.0000000.000000C(2,2)0.0000000.000000C(2,3)3.0000000.000000C(2,4)0.0000000.000000C(2,5)2.0000000.000000C(3,1)2.0000000.000000C(3,2)3.0000000.000000C(3,3)0.0000000.000000C(3,4)0.0000000.000000C(3,5)0.0000000.000000C(4,1)4.0000000.000000C(4,2)0.0000000.000000C(4,3)0.0000000.000000C(4,4)0.0000000.000000C(4,5)5.0000000.000000C(5,1)1.0000000.000000C(5,2)2.0000000.000000C(5,3)0.0000000.000000C(5,4)5.0000000.000000C(5,5)0.0000000.000000RowSlackorSurplusDualPrice150.00000-1.00000020.000000-10.0000030.000000-6.00000040.0000008.00000050.0000000.00000060.000000-0.8674480E-0570.000000-10.0000080.000000-16.0000090.000000-14.00000100.000000-12.00000110.000000-22.00000第一个人去第三个城市,第二个人去第四个城市,第三个人去第五个城市,第四个人去第一个城市,第五个人去第二个城市,最低费用50。

3.模型:

min=100*x1+100*x2+40*y1+40*y2+40*y3+40*y4+40*y5;

x1+x2+y14;

x1+x2+y1+y23;

x1+x2+y1+y2+y34;

x2+y1+y2+y3+y46;

x1+y2+y3+y4+y55;

x1+x2+y3+y4+y56;

x1+x2+y4+y58;

x1+x2+y58;

y1+y2+y3+y4+y53;

gin(x1);

gin(x2);

gin(y1);

gin(y2);

gin(y3);

gin(y4);

gin(y5);

endGlobaloptimalsolutionfound.Objectivevalue:

820.0000Objectivebound:

820.0000Infeasibilities:

0Totalsolveriterations:

46VariableValueReducedCostX13.000000100.0000X24.000000100.0000Y10.00000040.00000Y22.00000040.00000Y30.00000040.00000Y40.00000040.00000Y51.00000040.00000RowSlackorSurplusDualPrice1820.0000-1.00000023.0000000.00000036.0000000.00000045.0000000.00000050.0000000.00000061.0000000.00000072.0000000.00000080.0000000.00000090.0000000.000000100.0000000.000000说明:

该储蓄雇用7名全时服务员,其中3名12:

0013:

00吃午餐,4名13:

0014:

00吃午餐;

并在10:

00雇用2名、13:

0017:

00雇用1名半时服务员,符合题目要求,且花费最少,为820元。

第二问y1+y2+y3+y4+y50;

560.0000Objectivebound:

560.0000Infeasibilities:

2VariableValueReducedCostX10.000000100.0000X20.000000100.0000Y16.00000040.00000Y20.00000040.00000Y30.00000040.00000Y40.00000040.00000Y58.00000040.00000RowSlackorSurplusDualPrice1560.0000-1.00000022.0000000.00000033.0000000.00000042.0000000.00000050.0000000.00000063.0000000.00000072.0000000.00000080.0000000.00000090.0000000.0000001014.000000.000000说明:

若雇用半时服务员没有限制,则在9:

00雇用6名半时服务员、在13:

00雇用8名半时服务员,符合题目要求,且经费最省,为560元,即每天可以减少260元经费。

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