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