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. 2021 Oct 6;11:19816. doi: 10.1038/s41598-021-98851-7

Table 9.

Results for solving small size issues.

Prob. WOA (whale’s optimization algorithm) NSGA-II ε-constraint method
Quality Spacing Diversity CPU time Pareto Ans Quality Spacing Diversity CPU time Pareto Ans Quality Spacing Diversity CPU time Pareto Ans
3/4 85.2 0.92 985.2 155.2 380 14.8 0.78 740.7 73.4 301 27.2 0.88 832.4 81.2 301
5/4 83.5 0.51 1365.9 159.2 299 16.5 0.47 840.9 73.6 79 22.5 0.67 847.1 86.6 87
7/4 88.1 0.64 1439.9 160.1 534 11.9 0.56 850.2 80.1 47 16.2 0.60 870.2 90.1 64
10/4 100 1.06 1468.3 162.5 200 0 0.71 1130.6 89.2 301 0 0.91 1234.1 95.5 280
12/4 87.7 0.68 1582.2 163.1 198 12.3 0.44 1220.4 85.2 217 9.3 0.54 1256.2 97.8 225
16/4 87.6 0.91 1702.3 171.8 231 12.4 0.78 1261.3 105.7 211 6.3 0.88 1265.8 103.7 321
18/4 83.4 0.71 1708.9 181.8 187 16.6 0.47 1349.1 112.6 149 4.8 0.54 1367.7 109.4 102
18/5 85.8 0.73 1763.2 182.4 345 14.2 0.62 1360.6 124.5 348 12.1 0.65 1370.3 114.9 349
18/7 88.1 1.01 1930.2 184.7 488 11.9 0.49 1281.4 124.9 351 10.5 0.89 1381.6 123.6 380
20/7 88.7 1.32 2012.9 199.4 529 11.3 0.70 1495.4 136.7 400 7.2 0.98 1470.4 130.1 413