lingo程序实例
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例1.2使用LINGO软件计算6个发点8个收点的最小费用运输问题。产销
model:
!6发点8收点运输问题;
sets:
warehouses/wh1..wh6/:capacity;
vendors/v1..v8/:demand;
links(warehouses,vendors):cost,volume;
endsets
!目标函数域;
min=@sum(links:cost*volume);
!需求约束域;
@for(vendors(j):
@sum(warehouses(i):volume(i,j))=demand(j));
!产量约束;
@for(warehouses(i):
@sum(vendors(j):volume(i,j))<=capacity(i));
!数据域;
data:
capacity=
60 55 51 43 41 52
;
demand=
;
cost=
;
enddata
end
Global optimal solution found.
Objective value: 664.0000
Infeasibilities: 0.000000
Total solver iterations: 15
Model Class: LP
Total variables: 48
Nonlinear variables: 0
Integer variables: 0
Total constraints: 15
Nonlinear constraints: 0
Total nonzeros: 144
Nonlinear nonzeros: 0
Variable Value Reduced Cost CAPACITY( WH1) 60.00000 0.000000 CAPACITY( WH2) 55.00000 0.000000 CAPACITY( WH3) 51.00000 0.000000 CAPACITY( WH4) 43.00000 0.000000 CAPACITY( WH5) 41.00000 0.000000 CAPACITY( WH6) 52.00000 0.000000 DEMAND( V1) 35.00000 0.000000 DEMAND( V2) 37.00000 0.000000 DEMAND( V3) 22.00000 0.000000 DEMAND( V4) 32.00000 0.000000 DEMAND( V5) 41.00000 0.000000 DEMAND( V6) 32.00000 0.000000 DEMAND( V7) 43.00000 0.000000 DEMAND( V8) 38.00000 0.000000
COST( WH1, V2) 2.000000 0.000000 COST( WH1, V3) 6.000000 0.000000 COST( WH1, V4) 7.000000 0.000000 COST( WH1, V5) 4.000000 0.000000 COST( WH1, V6) 2.000000 0.000000 COST( WH1, V7) 5.000000 0.000000 COST( WH1, V8) 9.000000 0.000000 COST( WH2, V1) 4.000000 0.000000 COST( WH2, V2) 9.000000 0.000000 COST( WH2, V3) 5.000000 0.000000 COST( WH2, V4) 3.000000 0.000000 COST( WH2, V5) 8.000000 0.000000 COST( WH2, V6) 5.000000 0.000000 COST( WH2, V7) 8.000000 0.000000 COST( WH2, V8) 2.000000 0.000000 COST( WH3, V1) 5.000000 0.000000 COST( WH3, V2) 2.000000 0.000000 COST( WH3, V3) 1.000000 0.000000 COST( WH3, V4) 9.000000 0.000000 COST( WH3, V5) 7.000000 0.000000 COST( WH3, V6) 4.000000 0.000000 COST( WH3, V7) 3.000000 0.000000 COST( WH3, V8) 3.000000 0.000000 COST( WH4, V1) 7.000000 0.000000 COST( WH4, V2) 6.000000 0.000000 COST( WH4, V3) 7.000000 0.000000 COST( WH4, V4) 3.000000 0.000000 COST( WH4, V5) 9.000000 0.000000 COST( WH4, V6) 2.000000 0.000000 COST( WH4, V7) 7.000000 0.000000 COST( WH4, V8) 1.000000 0.000000 COST( WH5, V1) 2.000000 0.000000 COST( WH5, V2) 3.000000 0.000000 COST( WH5, V3) 9.000000 0.000000 COST( WH5, V4) 5.000000 0.000000 COST( WH5, V5) 7.000000 0.000000 COST( WH5, V6) 2.000000 0.000000 COST( WH5, V7) 6.000000 0.000000 COST( WH5, V8) 5.000000 0.000000 COST( WH6, V1) 5.000000 0.000000 COST( WH6, V2) 5.000000 0.000000 COST( WH6, V3) 2.000000 0.000000 COST( WH6, V4) 2.000000 0.000000