Research Article

A Hybrid Metaheuristic of Integrating Estimation of Distribution Algorithm with Tabu Search for the Max-Mean Dispersion Problem

Table 4

Computational comparisons between EDA-TS and other state-of-the-art algorithms on instances with 750 variables.

Instances TPTS[13] TSMA[9] GVNS[14] EDA-TS
ā€‰Bst Bst Avg Time Bst Avg Time Bst Avg Time

MDPI1_750 95.86 96.65 96.65 4.31 96.63 96.38 58.67 96.65 96.65 4.89
MDPI2_750 97.42 97.56 97.56 3.82 97.56 97.54 106.10 97.56 97.56 2.16
MDPI3_750 96.97 97.80 97.80 1.81 97.80 97.54 119.97 97.80 97.80 0.64
MDPI4_750 95.21 96.04 96.04 4.38 95.88 95.75 108.79 96.04 96.04 4.16
MDPI5_750 96.65 96.76 96.76 0.65 96.76 96.76 52.16 96.76 96.76 0.86
MDPI6_750 99.25 99.86 99.86 5.55 99.72 99.45 89.43 99.86 99.86 4.92
MDPI7_750 96.26 96.55 96.55 1.01 96.55 96.07 219.43 96.55 96.55 0.62
MDPI8_750 96.46 96.73 96.73 1.73 96.73 96.49 202.35 96.73 96.73 1.09
MDPI9_750 96.78 98.06 98.06 2.18 98.06 97.77 227.97 98.06 98.06 1.04
MDPI10_750 99.85 100.06 100.06 3.42 100.06 99.91 19.62 100.06 100.06 1.41
MDPII1_750 127.69 128.86 128.86 5.66 128.72 128.49 206.66 128.86 128.86 3.71
MDPII2_750 130.79 130.95 130.95 2.31 130.95 130.52 30.88 130.95 130.95 1.08
MDPII3_750 129.40 129.78 129.78 11.64 129.72 129.50 169.83 129.78 129.78 4.95
MDPII4_750 125.68 126.58 126.58 1.48 126.58 126.58 28.89 126.58 126.58 0.80
MDPII5_750 128.13 129.12 129.12 1.32 129.05 128.80 96.16 129.12 129.12 0.99
MDPII6_750 128.55 129.03 129.03 7.98 129.02 128.82 87.80 129.03 129.03 4.41
MDPII7_750 124.91 125.65 125.65 3.38 125.65 125.37 267.80 125.65 125.65 1.85
MDPII8_750 130.66 130.94 130.94 1.91 130.94 130.88 68.90 130.94 130.94 0.83
MDPII9_750 128.89 128.89 128.89 1.30 128.67 127.32 108.51 128.89 128.89 0.59
MDPII10_750 132.99 133.27 133.27 1.81 133.17 133.03 158.44 133.27 133.27 0.88