Table 2.
Comparison of different components on the CEC′2013 LSGO functions, D = 1000, FEs = 3.0E + 06 (with Wilcoxon test, α = 0.05).
| Fun | MPCE | SSALS | MPCE & SSALS | MPCE & SSALS | MPCE & MTS-LS1 | MPCE & SSALS | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Four parents | Two parents | Three parents | Four parents | Four parents | |||||||
| f1 | 3.50E + 10 | < | 1.53E − 27 | = | 1.48E − 27 | = | 2.49E − 27 | = | 3.24E − 25 | < | 1.53E − 27 |
| f2 | 2.63E + 04 | < | 5.97E − 01 | = | 1.52E + 00 | = | 1.39E + 00 | = | 3.28E + 02 | < | 1.35E + 00 |
| f3 | 2.01E + 01 | < | 1.32E + 01 | < | 3.42E − 13 | = | 3.59E − 13 | = | 1.65E − 12 | < | 3.59E − 13 |
| f4 | 1.03E + 12 | < | 3.67E + 09 | = | 3.51E + 09 | = | 3.70E + 09 | = | 1.52E + 10 | < | 3.56E + 09 |
| f5 | 6.75E + 06 | < | 2.24E + 07 | < | 1.45E + 06 | < | 1.31E + 06 | < | 2.00E + 06 | < | 1.18E + 06 |
| f6 | 6.43E + 05 | < | 9.84E + 05 | < | 5.44E + 04 | < | 3.98E + 03 | < | 2.53E + 05 | < | 7.46E + 02 |
| f7 | 1.74E + 10 | < | 1.29E + 05 | < | 6.07E + 03 | = | 5.20E + 03 | = | 1.30E + 07 | < | 4.39E + 03 |
| f8 | 2.86E + 16 | < | 3.14E + 14 | < | 1.60E + 14 | = | 1.32E + 14 | = | 1.46E + 15 | < | 1.84E + 14 |
| f9 | 5.97E + 08 | < | 1.52E + 09 | < | 1.13E + 08 | < | 9.60E + 07 | = | 1.50E + 08 | < | 9.02E + 07 |
| f10 | 1.86E + 07 | < | 8.90E + 07 | < | 1.03E + 05 | < | 6.51E + 04 | = | 8.14E + 06 | < | 4.98E + 04 |
| f11 | 4.42E + 12 | < | 1.15E + 07 | < | 3.76E + 06 | = | 3.65E + 06 | = | 1.41E + 10 | < | 3.32E + 06 |
| f12 | 7.66E + 11 | < | 4.98E + 01 | > | 9.40E + 01 | = | 4.45E + 01 | = | 8.07E + 02 | < | 5.85E + 01 |
| f13 | 1.61E + 12 | < | 4.06E + 07 | < | 2.52E + 06 | = | 2.19E + 06 | = | 1.19E + 09 | < | 3.56E + 06 |
| f14 | 4.99E + 12 | < | 7.65E + 06 | < | 5.35E + 06 | = | 5.51E + 06 | = | 1.65E + 10 | < | 5.46E + 06 |
| f15 | 4.83E + 13 | < | 8.58E + 05 | < | 5.93E + 05 | = | 5.76E + 05 | = | 4.26E + 07 | < | 5.80E + 05 |
| w/t/l | 15/0/0 | 11/3/1 | 4/11/0 | 2/13/0 | 15/0/0 | / | |||||