Question

用lingo软件进行线性规划的计算

用lingo软件进行线性规划的计算数学模型：
min X1+X2+X3+X4+X5+X6;
约束条件： X1+X6>=60,
X1+X2>=70,
X2+X3>=60,
X3+X4>=50,
X4+X5>=20,
X5+X6>=30,
X1，X2，X3，X4，X5，X6>=0.

Answer 1

简单的线性规划，代码如下：

model:
min=X1+X2+X3+X4+X5+X6;
X1+X6>=60;
X1+X2>=70;
X2+X3>=60;
X3+X4>=50;
X4+X5>=20;
X5+X6>=30;
end

运行结果：
Global optimal solution found.
Objective value: 150.0000
Infeasibilities: 0.000000
Total solver iterations: 4

Model Class: LP

Total variables: 6
Nonlinear variables: 0
Integer variables: 0

Total constraints: 7
Nonlinear constraints: 0

Total nonzeros: 18
Nonlinear nonzeros: 0

Variable Value Reduced Cost
X1 60.00000 0.000000
X2 10.00000 0.000000
X3 50.00000 0.000000
X4 0.000000 0.000000
X5 30.00000 0.000000
X6 0.000000 0.000000

Row Slack or Surplus Dual Price
1 150.0000 -1.000000
2 0.000000 0.000000
3 0.000000 -1.000000
4 0.000000 0.000000
5 0.000000 -1.000000
6 10.00000 0.000000
7 0.000000 -1.000000
最优值150，VALUE那一列就是对应的变量的取值。