Question

sets:num_i/1..16/;num_j/1..4/;link(num_i,num_j):c,x;endsetsM

Answer 1

可以直接运行的

结果如下：

Global optimal solution found at iteration: 10

Objective value: 4.673000

Variable Value Reduced Cost

C( 1, 1) 0.5105900 0.000000

C( 1, 2) 0.5554900 0.000000

C( 1, 3) 0.4166500 0.000000

C( 1, 4) 0.4444600 0.000000

C( 2, 1) 0.4200600 0.000000

C( 2, 2) 0.5655400 0.000000

C( 2, 3) 0.4842100 0.000000

C( 2, 4) 0.4225400 0.000000

C( 3, 1) 0.5581000 0.000000

C( 3, 2) 0.5183100 0.000000

C( 3, 3) 0.3891900 0.000000

C( 3, 4) 0.4540500 0.000000

C( 4, 1) 0.4632000 0.000000

C( 4, 2) 0.5864200 0.000000

C( 4, 3) 0.4401500 0.000000

C( 4, 4) 0.4384000 0.000000

C( 5, 1) 0.5220400 0.000000

C( 5, 2) 0.4986600 0.000000

C( 5, 3) 0.4199100 0.000000

C( 5, 4) 0.4446100 0.000000

C( 6, 1) 0.4198000 0.000000

C( 6, 2) 0.4665100 0.000000

C( 6, 3) 0.5881200 0.000000

C( 6, 4) 0.5001700 0.000000

C( 7, 1) 0.4820700 0.000000

C( 7, 2) 0.5852000 0.000000

C( 7, 3) 0.4173200 0.000000

C( 7, 4) 0.4420200 0.000000

C( 8, 1) 0.4695800 0.000000

C( 8, 2) 0.4820700 0.000000

C( 8, 3) 0.4773200 0.000000

C( 8, 4) 0.4445400 0.000000

C( 9, 1) 0.4253300 0.000000

C( 9, 2) 0.4662700 0.000000

C( 9, 3) 0.5614200 0.000000

C( 9, 4) 0.4807500 0.000000

C( 10, 1) 0.4362200 0.000000

C( 10, 2) 0.4447100 0.000000

C( 10, 3) 0.5522300 0.000000

C( 10, 4) 0.4723300 0.000000

C( 11, 1) 0.5319900 0.000000

C( 11, 2) 0.3885200 0.000000

C( 11, 3) 0.5987400 0.000000

C( 11, 4) 0.6148800 0.000000

C( 12, 1) 0.5142700 0.000000

C( 12, 2) 0.5168700 0.000000

C( 12, 3) 0.4747300 0.000000

C( 12, 4) 0.5168700 0.000000

C( 13, 1) 0.5422200 0.000000

C( 13, 2) 0.4579200 0.000000

C( 13, 3) 0.5229100 0.000000

C( 13, 4) 0.5792900 0.000000

C( 14, 1) 0.4446000 0.000000

C( 14, 2) 0.4280500 0.000000

C( 14, 3) 0.5664500 0.000000

C( 14, 4) 0.4982600 0.000000

C( 15, 1) 0.4685700 0.000000

C( 15, 2) 0.5945400 0.000000

C( 15, 3) 0.3987000 0.000000

C( 15, 4) 0.4186300 0.000000

C( 16, 1) 0.5134200 0.000000

C( 16, 2) 0.4900400 0.000000

C( 16, 3) 0.4112900 0.000000

C( 16, 4) 0.4359900 0.000000

X( 1, 1) 0.000000 -0.5105900

X( 1, 2) 0.000000 -0.5554900

X( 1, 3) 0.000000 -0.4166500

X( 1, 4) 0.000000 -0.4444600

X( 2, 1) 0.000000 -0.4200600

X( 2, 2) 0.000000 -0.5655400

X( 2, 3) 0.000000 -0.4842100

X( 2, 4) 0.000000 -0.4225400

X( 3, 1) 1.000000 -0.5581000

X( 3, 2) 0.000000 -0.5183100

X( 3, 3) 0.000000 -0.3891900

X( 3, 4) 0.000000 -0.4540500

X( 4, 1) 0.000000 -0.4632000

X( 4, 2) 1.000000 -0.5864200

X( 4, 3) 0.000000 -0.4401500

X( 4, 4) 0.000000 -0.4384000

X( 5, 1) 0.000000 -0.5220400

X( 5, 2) 0.000000 -0.4986600

X( 5, 3) 0.000000 -0.4199100

X( 5, 4) 0.000000 -0.4446100

X( 6, 1) 0.000000 -0.4198000

X( 6, 2) 0.000000 -0.4665100

X( 6, 3) 1.000000 -0.5881200

X( 6, 4) 0.000000 -0.5001700

X( 7, 1) 0.000000 -0.4820700

X( 7, 2) 1.000000 -0.5852000

X( 7, 3) 0.000000 -0.4173200

X( 7, 4) 0.000000 -0.4420200

X( 8, 1) 0.000000 -0.4695800

X( 8, 2) 0.000000 -0.4820700

X( 8, 3) 0.000000 -0.4773200

X( 8, 4) 0.000000 -0.4445400

X( 9, 1) 0.000000 -0.4253300

X( 9, 2) 0.000000 -0.4662700

X( 9, 3) 0.000000 -0.5614200

X( 9, 4) 0.000000 -0.4807500

X( 10, 1) 0.000000 -0.4362200

X( 10, 2) 0.000000 -0.4447100

X( 10, 3) 0.000000 -0.5522300

X( 10, 4) 0.000000 -0.4723300

X( 11, 1) 0.000000 -0.5319900

X( 11, 2) 0.000000 -0.3885200

X( 11, 3) 0.000000 -0.5987400

X( 11, 4) 1.000000 -0.6148800

X( 12, 1) 0.000000 -0.5142700

X( 12, 2) 0.000000 -0.5168700

X( 12, 3) 0.000000 -0.4747300

X( 12, 4) 0.000000 -0.5168700

X( 13, 1) 0.000000 -0.5422200

X( 13, 2) 0.000000 -0.4579200

X( 13, 3) 0.000000 -0.5229100

X( 13, 4) 1.000000 -0.5792900

X( 14, 1) 0.000000 -0.4446000

X( 14, 2) 0.000000 -0.4280500

X( 14, 3) 1.000000 -0.5664500

X( 14, 4) 0.000000 -0.4982600

X( 15, 1) 0.000000 -0.4685700

X( 15, 2) 1.000000 -0.5945400

X( 15, 3) 0.000000 -0.3987000

X( 15, 4) 0.000000 -0.4186300

X( 16, 1) 0.000000 -0.5134200

X( 16, 2) 0.000000 -0.4900400

X( 16, 3) 0.000000 -0.4112900

X( 16, 4) 0.000000 -0.4359900

Row Slack or Surplus Dual Price

1 4.673000 1.000000

2 0.000000 0.000000

3 2.000000 0.000000

4 1.000000 0.000000

5 1.000000 0.000000

6 0.000000 0.000000

7 0.000000 0.000000

8 1.000000 0.000000

9 1.000000 0.000000

10 0.000000 0.000000

11 1.000000 0.000000

12 1.000000 0.000000

13 0.000000 0.000000

14 0.000000 0.000000

15 0.000000 0.000000

16 1.000000 0.000000

17 0.000000 0.000000

18 1.000000 0.000000

19 1.000000 0.000000

20 1.000000 0.000000

21 0.000000 0.000000

22 2.000000 0.000000

23 0.000000 0.000000

24 1.000000 0.000000

25 1.000000 0.000000

26 1.000000 0.000000

27 1.000000 0.000000

28 0.000000 0.000000

29 0.000000 0.000000

30 1.000000 0.000000

31 0.000000 0.000000

32 0.000000 0.000000

33 1.000000 0.000000

34 1.000000 0.000000

35 1.000000 0.000000

36 0.000000 0.000000

37 1.000000 0.000000

38 0.000000 0.000000

39 0.000000 0.000000

40 0.000000 0.000000

41 1.000000 0.000000

42 0.000000 0.000000