Research Article

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

Table 7

Comparison of the results obtained by the PR2, TSHEA, and PSO-EDA on instances from the second set.

Instances Best PR2 [11]TSHEA [13]PSO-EDA
Gap (%)

3dl101000 1000 896 896 894.6 896 896.0 896 896.0 0
3dl102000 1000900900 900.0 900 900.0 900 900.0 0
3dl103000 1000 892892 891.3 892 892.0 892 892.0 0
3dl104000 1000 898 898 898.0 898 898.0 898 898.0 0
3dl105000 1000 886 886 885.4 886 886.0 886 886.0 0
3dl106000 1000 888 888 888.0 888 888.0 888 888.0 0
3dl107000 1000 900 900 898.2 900 900.0 900 898.8 0
3dl108000 1000 882 882 881.2 882 882.0 882 880.6 0
3dl109000 1000 902 902 901.5 902 902.0 902 902.0 0
3dl1010000 1000 894894 893.7 894 894.0 894 892.6 0
3dl141000 2744 24462444 2437.6 2446 2446.0 2446 2443.0 0
3dl142000 2744 24582456 2452.4 2458 2458.0 24582455.8 0
3dl143000 2744 24422438 2435.5 2442 2442.0 2442 2438.4 0
3dl144000 2744 24502448 2440.0 2450 2449.4 2448 2443.2 0.08
3dl145000 2744 24462444 2438.7 2446 2446.0 2446 2444.0 0
3dl146000 2744 24522448 2442.3 2452 2451.4 2452 2445.8 0
3dl147000 2744 24442440 2435.0 2444 2444.0 2444 2439.2 0
3dl148000 2744 24482444 2438.9 2448 2447.6 2448 2443.6 0
3dl149000 2744 24282422 2417.3 2428 2426.3 2428 2422.4 0
3dl1410000 2744 24602454 2448.8 2460 2458.4 2456 2451.8 0.16