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 | 887.00 | 3.30 | 19.51 | 892 | 892.0 | 0.0 | 2.776 | 3dl104000 | 810 | 796.47 | 6.84 | 898 | 896.27 | 1.61 | 19.51 | 898 | 897.6 | 0.84 | 2.794 | 3dl105000 | 804 | 787.27 | 8.27 | 886 | 882.20 | 1.81 | 19.51 | 886 | 883.8 | 1.48 | 2.834 | 3dl106000 | 802 | 797.13 | 3.25 | 888 | 884.67 | 3.03 | 19.51 | 888 | 886.2 | 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 | 882 | 877.93 | 2.28 | 19.51 | 882 | 880.0 | 0.94 | 2.961 | 3dl109000 | 808 | 797.33 | 5.47 | 902 | 897.20 | 3.12 | 19.51 | 902 | 899.6 | 2.46 | 2.849 | 3dl1010000 | 812 | 793.87 | 9.76 | 894 | 889.67 | 2.74 | 19.51 | 894 | 891.4 | 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 | 2440.33 | 6.63 | 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 | 2442 | 2433.93 | 5.64 | 97.56 | 2442 | 2439.4 | 2.50 | 12.077 | 3dl145000 | 2128 | 2097.93 | 11.55 | 2440 | 2428.93 | 5.72 | 97.56 | 2446 | 2437.8 | 3.46 | 12.012 | 3dl146000 | 2176 | 2151.40 | 10.25 | 2448 | 2437.73 | 4.91 | 97.56 | 2448 | 2441.6 | 3.75 | 12.101 | 3dl147000 | 2166 | 2147.80 | 8.90 | 2440 | 2428.20 | 5.52 | 97.56 | 2440 | 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 | 2452 | 2440.73 | 5.17 | 97.56 | 2452 | 2442.8 | 4.34 | 12.515 |
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