Research Article
A Hybrid Metaheuristic of Integrating Estimation of Distribution Algorithm with Tabu Search for the Max-Mean Dispersion Problem
Table 5
Computational comparisons between EDA-TS and other state-of-the-art algorithms on instances with 1000 variables.
| Instances | TPTS[13] | TSMA[9] | GVNS[14] | EDA-TS | ā | Bst | Bst | Avg | Time | Bst | Avg | Time | Bst | Avg | Time |
| MDPI1_1000 | 118.76 | 119.17 | 119.17 | 8.25 | 119.17 | 118.90 | 335.60 | 119.17 | 119.17 | 3.91 | MDPI2_1000 | 113.22 | 113.52 | 113.52 | 3.52 | 113.52 | 113.41 | 199.62 | 113.52 | 113.52 | 2.18 | MDPI3_1000 | 114.51 | 115.14 | 115.14 | 2.32 | 114.83 | 114.62 | 254.93 | 115.14 | 115.14 | 0.93 | MDPI4_1000 | 110.53 | 111.15 | 111.15 | 3.58 | 111.15 | 110.76 | 304.17 | 111.15 | 111.15 | 3.08 | MDPI5_1000 | 111.24 | 112.72 | 112.72 | 1.61 | 112.72 | 112.02 | 67.02 | 112.72 | 112.72 | 0.95 | MDPI6_1000 | 112.08 | 113.20 | 113.20 | 7.72 | 113.18 | 112.83 | 382.65 | 113.20 | 113.20 | 6.93 | MDPI7_1000 | 110.94 | 111.56 | 111.56 | 1.88 | 111.56 | 111.16 | 284.62 | 111.56 | 111.56 | 1.67 | MDPI8_1000 | 110.29 | 111.26 | 111.26 | 3.55 | 111.07 | 110.64 | 331.39 | 111.26 | 111.26 | 1.57 | MDPI9_1000 | 115.78 | 115.96 | 115.96 | 2.38 | 115.96 | 115.87 | 105.09 | 115.96 | 115.96 | 1.61 | MDPI10_1000 | 114.29 | 114.73 | 114.73 | 2.16 | 114.73 | 114.34 | 91.50 | 114.73 | 114.73 | 1.48 | MDPII1_1000 | 145.46 | 147.94 | 147.94 | 1.60 | 147.94 | 147.20 | 155.02 | 147.94 | 147.94 | 1.14 | MDPII2_1000 | 150.49 | 151.38 | 151.38 | 1.78 | 151.38 | 150.98 | 237.94 | 151.38 | 151.38 | 1.20 | MDPII3_1000 | 149.36 | 150.79 | 150.79 | 4.92 | 150.79 | 149.65 | 227.01 | 150.79 | 150.79 | 2.24 | MDPII4_1000 | 147.91 | 149.18 | 149.18 | 3.80 | 149.18 | 148.57 | 180.51 | 149.18 | 149.18 | 1.60 | MDPII5_1000 | 150.23 | 151.52 | 151.52 | 3.28 | 151.49 | 150.97 | 96.20 | 151.52 | 151.52 | 1.46 | MDPII6_1000 | 147.29 | 148.34 | 148.34 | 3.22 | 148.25 | 147.20 | 94.32 | 148.34 | 148.34 | 1.48 | MDPII7_1000 | 148.41 | 148.74 | 148.74 | 6.30 | 148.73 | 148.34 | 404.66 | 148.74 | 148.74 | 2.82 | MDPII8_1000 | 145.87 | 147.83 | 147.83 | 13.52 | 147.83 | 147.08 | 125.13 | 147.83 | 147.83 | 6.73 | MDPII9_1000 | 145.67 | 147.08 | 147.08 | 3.83 | 147.08 | 146.18 | 144.99 | 147.08 | 147.08 | 5.04 | MDPII10_1000 | 148.40 | 150.05 | 150.05 | 2.13 | 150.05 | 149.57 | 203.82 | 150.05 | 150.05 | 1.12 |
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