Research Article

An Integrated Method Based on PSO and EDA for the Max-Cut Problem

Table 5

Comparison of the results obtained by the DHNN-EDA, THNN-EDA, and PSO-EDA on instances from the second set.

Instances DHNN-EDA [25]THNN-EDA [9]PSO-EDA
Std. Std. time Std. time

3dl101000 804 779.93 7.97 894 890.73 3.44 19.51 896 892.8 3.01 2.971
3dl102000 802 789.13 5.79 900 898.00 2.07 19.51 900 899.2 1.40 2.802
3dl103000 790 778.33 6.02 892 887.003.30 19.51 892892.0 0.0 2.776
3dl104000 810 796.47 6.84 898896.27 1.61 19.51 898897.6 0.84 2.794
3dl105000 804 787.27 8.27 886882.20 1.81 19.51 886883.8 1.48 2.834
3dl106000 802 797.13 3.25 888884.67 3.03 19.51 888886.2 2.57 2.765
3dl107000 790 783.13 4.61 898 895.40 1.94 19.51 900 896.8 2.53 2.772
3dl108000 794 769.47 8.94 882877.93 2.28 19.51 882880.0 0.94 2.961
3dl109000 808 797.33 5.47 902897.20 3.12 19.51 902899.6 2.46 2.849
3dl1010000 812 793.87 9.76 894889.67 2.74 19.51 894891.4 1.65 2.770
3dl141000 2176 2137.87 14.89 2438 2429.27 5.62 97.56 2442 2436.2 3.58 11.827
3dl142000 2192 2155.00 16.09 2454 2440.336.63 97.56 2458 2452.4 3.63 11.671
3dl143000 2148 2128.27 10.02 2434 2427.07 4.70 97.56 2438 2433.0 3.30 11.923
3dl144000 2180 2147.73 11.85 24422433.93 5.64 97.56 2442 2439.4 2.50 12.077
3dl145000 2128 2097.93 11.55 2440 2428.93 5.7297.56 24462437.8 3.46 12.012
3dl146000 2176 2151.40 10.25 2448 2437.734.91 97.56 24482441.6 3.75 12.101
3dl147000 2166 2147.80 8.90 24402428.20 5.52 97.562440 2435.6 3.37 11.892
3dl148000 2140 2106.87 13.80 2442 2432.60 5.14 97.56 2448 2440.2 3.94 12.922
3dl149000 2112 2090.40 9.80 2420 2412.40 5.30 97.56 2422 2416.8 4.64 11.975
3dl1410000 2172 2150.07 9.80 24522440.73 5.1797.56 2452 2442.8 4.34 12.515