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Gams Travelling Salesman Problem Model

Autor:   •  February 7, 2018  •  692 Words (3 Pages)  •  782 Views

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MODEL IE413_TSP /ALL/;

option optcr = 0.0 ;

SOLVE IE413_TSP MINIMIZING opt USING MIP;

DISPLAY opt.l, x.l, x.m, u.l;

3.b.SOLVE SUMMARY:

MODEL IE413_TSP OBJECTIVE opt

TYPE MIP DIRECTION MINIMIZE

SOLVER CPLEX FROM LINE 133

**** SOLVER STATUS 3 Resource Interrupt

**** MODEL STATUS 8 Integer Solution

**** OBJECTIVE VALUE 10042.0000

RESOURCE USAGE, LIMIT 1000.245 1000.000

ITERATION COUNT, LIMIT 691564 2000000000

IBM ILOG CPLEX Jul 4, 2010 23.5.1 WIN 18414.18495 VS8 x86/MS Windows

Cplex 12.2.0.0, GAMS Link 34

GAMS/Cplex licensed for continuous and discrete problems.

Cplex MIP uses 1 of 8 parallel threads. Change default with option THREADS.

MIP status(107): time limit exceeded

Fixed MIP status(1): optimal

Resource limit exceeded.

MIP Solution: 10042.000000 (691564 iterations, 28812 nodes)

Final Solve: 10042.000000 (0 iterations)

Best possible: 9833.708482

Absolute gap: 208.291518

Relative gap: 0.020742

We tried to reach the best possible solution, however because of the fact that the program exceeded the resource capacity we couldn't obtain the best feasible solution. The solution we found has relative gap of 2%, which is acceptable.

3.c.SOLUTION:

1 2 3 4 5 6

14 1.000

19 1.000

25 1.000

33 1.000

43 1.000

63 1.000

+ 7 8 9 10 11 12

15 1.000

16 1.000

45 1.000

48 1.000

49 1.000

75 1.000

+ 13 14 15 16 17 18

6 1.000

10 1.000

54 1.000

64 1.000

65 1.000

77 1.000

+ 19 20 21 22 23 24

17 1.000

23 1.000

32 1.000

44 1.000

62 1.000

66 1.000

+ 25 26 27 28 29 30

11 1.000

24 1.000

61 1.000

69 1.000

73 1.000

79 1.000

+ 31 32 33 34 35 36

7 1.000

9 1.000

46 1.000

59 1.000

70 1.000

76 1.000

+ 37 38 39 40 41 42

22 1.000

34 1.000

57 1.000

58 1.000

68 1.000

71 1.000

+ 43 44 45 46 47 48

2 1.000

20 1.000

21 1.000

26 1.000

35 1.000

80 1.000

+ 49 50 51 52 53 54

8 1.000

13 1.000

28 1.000

38 1.000

41 1.000

51 1.000

+ 55 56 57 58 59 60

5 1.000

39 1.000

52 1.000

55 1.000

60 1.000

72 1.000

+ 61 62 63 64 65 66

3 1.000

12 1.000

27 1.000

30 1.000

40 1.000

53 1.000

+ 67 68 69 70 71 72

18 1.000

29 1.000

42 1.000

47 1.000

50 1.000

74 1.000

+ 73 74 75 76 77 78

4

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