Table 1.
CPLEX results for small instances of the TCMCRP
Instance | |V| | |T| | |W| | |P| | Obj. | Time | Gap | Instance | |V| | |T| | |W| | |P| | Obj. | Time | Gap | ||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 52 | 15 | 36 | 2 | 1368.03 | 15 | 0.03 | 0.00 | 42 | 76 | 30 | 45 | 3 | 9367.66 | 12 | 0.09 | 0.00 |
2 | 52 | 15 | 36 | 2 | 1231.26 | 12 | 0.05 | 0.00 | 43 | 76 | 30 | 45 | 4 | 8782.18 | 12 | 0.08 | 0.00 |
3 | 52 | 15 | 36 | 2 | 1090.05 | 15 | 0.03 | 0.00 | 44 | 76 | 30 | 45 | 4 | 7903.96 | 12 | 0.08 | 0.00 |
4 | 52 | 15 | 36 | 3 | 912.05 | 11 | 0.06 | 0.00 | 45 | 76 | 30 | 45 | 4 | 7025.74 | 7 | 0.05 | 0.00 |
5 | 52 | 15 | 36 | 3 | 820.84 | 9 | 0.05 | 0.00 | 46 | 76 | 37 | 38 | 2 | 22,400.71 | 17 | 4.61 | 0.00 |
6 | 52 | 15 | 36 | 3 | 729.64 | 8 | 0.03 | 0.00 | 47 | 76 | 37 | 38 | 2 | 20,160.64 | 17 | 1.80 | 0.00 |
7 | 52 | 15 | 36 | 4 | 684.04 | 8 | 0.05 | 0.00 | 48 | 76 | 37 | 38 | 2 | 17,920.57 | 15 | 2.77 | 0.00 |
8 | 52 | 15 | 36 | 4 | 615.63 | 8 | 0.05 | 0.00 | 49 | 76 | 37 | 38 | 3 | 14,933.80 | 14 | 1.06 | 0.00 |
9 | 52 | 20 | 31 | 4 | 547.23 | 1 | 0 | 0.00 | 50 | 76 | 37 | 38 | 3 | 13,440.42 | 14 | 0.25 | 0.00 |
10 | 52 | 20 | 31 | 2 | 1707.37 | 15 | 3.50 | 0.00 | 51 | 76 | 37 | 38 | 3 | 11,974.04 | 12 | 0.16 | 0.00 |
11 | 52 | 20 | 31 | 2 | 1536.63 | 15 | 0.92 | 0.00 | 52 | 76 | 37 | 38 | 4 | 11,200.35 | 12 | 0.19 | 0.00 |
12 | 52 | 20 | 31 | 2 | 1365.89 | 14 | 1.30 | 0.00 | 53 | 76 | 37 | 38 | 4 | 10,080.32 | 11 | 0.14 | 0.00 |
13 | 52 | 20 | 31 | 3 | 1138.24 | 13 | 0.09 | 0.00 | 54 | 76 | 37 | 38 | 4 | 8960.26 | 9 | 0.09 | 0.00 |
14 | 52 | 20 | 31 | 3 | 1024.42 | 13 | 0.06 | 0.00 | 55 | 100 | 29 | 70 | 2 | 6193.82 | 36 | 350.05 | 0.00 |
15 | 52 | 20 | 31 | 3 | 910.59 | 12 | 0.55 | 0.00 | 56 | 100 | 29 | 70 | 2 | 5574.44 | 36 | 5.56 | 0.00 |
16 | 52 | 20 | 31 | 4 | 853.68 | 10 | 0.08 | 0.00 | 57 | 100 | 29 | 70 | 2 | 4955.06 | 36 | 3.26 | 0.00 |
17 | 52 | 20 | 31 | 4 | 768.31 | 9 | 0.08 | 0.00 | 58 | 100 | 29 | 70 | 3 | 4129.21 | 36 | 0.45 | 0.00 |
18 | 52 | 20 | 31 | 4 | 682.95 | 9 | 0.09 | 0.00 | 59 | 100 | 29 | 70 | 3 | 3716.29 | 36 | 0.25 | 0.00 |
19 | 52 | 25 | 26 | 2 | 1988.24 | 20 | 29.67 | 0.00 | 60 | 100 | 29 | 70 | 3 | 3303.37 | 21 | 0.38 | 0.00 |
20 | 52 | 25 | 26 | 2 | 1789.42 | 19 | 20.30 | 0.00 | 61 | 100 | 29 | 70 | 4 | 3096.91 | 21 | 0.20 | 0.00 |
21 | 52 | 25 | 26 | 2 | 1590.59 | 18 | 3.48 | 0.00 | 62 | 100 | 29 | 70 | 4 | 2787.22 | 16 | 0.13 | 0.00 |
22 | 52 | 25 | 26 | 3 | 1325.49 | 17 | 56.84 | 0.00 | 63 | 100 | 29 | 70 | 4 | 2477.53 | 14 | 0.08 | 0.00 |
23 | 52 | 25 | 26 | 3 | 1192.94 | 15 | 1.84 | 0.00 | 64 | 100 | 39 | 60 | 2 | 8326.06 | 51 | 91.84 | 0.00 |
24 | 52 | 25 | 26 | 3 | 1060.39 | 15 | 0.17 | 0.00 | 65 | 100 | 39 | 60 | 2 | 7493.47 | 51 | 2.3 | 0.00 |
25 | 52 | 25 | 26 | 4 | 994.12 | 14 | 0.61 | 0.00 | 66 | 100 | 39 | 60 | 2 | 6660.87 | 49 | 10,564.23 | 0.00 |
26 | 52 | 25 | 26 | 4 | 894.71 | 11 | 21.95 | 0.00 | 67 | 100 | 39 | 60 | 3 | 5550.72 | 48 | 18,000.00 | 2.08 |
27 | 52 | 25 | 26 | 4 | 795.30 | 12 | 0.13 | 0.00 | 68 | 100 | 39 | 60 | 3 | 4995.65 | 40 | 5433.92 | 0.00 |
28 | 76 | 22 | 53 | 2 | 11,960.43 | 12 | 0.06 | 0.00 | 69 | 100 | 39 | 60 | 3 | 4440.58 | 38 | 314.39 | 0.00 |
29 | 76 | 22 | 53 | 2 | 10,764.43 | 12 | 0.06 | 0.00 | 70 | 100 | 39 | 60 | 4 | 4163.04 | 34 | 9.91 | 0.00 |
30 | 76 | 22 | 53 | 2 | 9568.38 | 10 | 0.05 | 0.00 | 71 | 100 | 39 | 60 | 4 | 3746.04 | 32 | 0.84 | 0.00 |
31 | 76 | 22 | 53 | 3 | 7973.65 | 10 | 0.06 | 0.00 | 72 | 100 | 39 | 60 | 4 | 3330.43 | 27 | 2.16 | 0.00 |
32 | 76 | 22 | 53 | 3 | 7176.29 | 7 | 0.05 | 0.00 | 73 | 100 | 49 | 50 | 2 | 10,458.99 | 45 | 7.53 | 0.00 |
33 | 76 | 22 | 53 | 3 | 6378.92 | 7 | 0.03 | 0.00 | 74 | 100 | 49 | 50 | 2 | 9413.09 | 45 | 26.97 | 0.00 |
34 | 76 | 22 | 53 | 4 | 5980.24 | 5 | 0.03 | 0.00 | 75 | 100 | 49 | 50 | 2 | 8367.19 | 45 | 36.72 | 0.00 |
35 | 76 | 22 | 53 | 4 | 5382.22 | 5 | 0.03 | 0.00 | 76 | 100 | 49 | 50 | 3 | 6972.66 | 45 | 1018.36 | 0.00 |
36 | 76 | 22 | 53 | 4 | 4774.19 | 5 | 0.03 | 0.00 | 77 | 100 | 49 | 50 | 3 | 6275.93 | 45 | 1174.98 | 0.00 |
37 | 76 | 30 | 45 | 2 | 17,564.36 | 16 | 2.64 | 0.00 | 78 | 100 | 49 | 50 | 3 | 5578.13 | 42 | 18,000.00 | 2.38 |
38 | 76 | 30 | 45 | 2 | 15,807.92 | 16 | 1.08 | 0.00 | 79 | 100 | 49 | 50 | 4 | 5229.49 | 42 | 18,000.00 | 2.38 |
39 | 76 | 30 | 45 | 2 | 14,051.49 | 13 | 14.11 | 0.00 | 80 | 100 | 49 | 50 | 4 | 4706.55 | 37 | 126.72 | 0.00 |
40 | 76 | 30 | 45 | 3 | 11,709.57 | 13 | 0.22 | 0.00 | 81 | 100 | 49 | 50 | 4 | 4183.60 | 33 | 11.57 | 0.00 |
41 | 76 | 30 | 45 | 3 | 10,583.61 | 13 | 0.13 | 0.00 |