Research Article
Analysis of Multitasking Evolutionary Algorithms under the Order of Solution Variables
Table 1
Results obtained by MFEA under different interpopulation crossover probabilities.
| | Problem | Task | icp = 0.2 | icp = 0.4 | icp = 0.6 | icp = 0.8 | icp = 1.0 |
| | CI + HS | Griewank (T1) | 0.39991 (0.047121) | 0.46988 (0.071905) | 0.59349 (0.076058) | 0.71105 (0.09389) | 0.77662 (0.06994) | | Rastrigin (T2) | 194.2837 (45.6755) | 214.4473 (45.8036) | 209.6063 (38.6149) | 235.6761 (30.4896) | 280.2167 (28.5509) |
| | CI + MS | Ackley (T1) | 4.7949 (0.83182) | 4.4248 (0.64978) | 3.8739 (0.43937) | 3.9432 (0.46339) | 3.9887 (0.39822) | | Rastrigin (T2) | 233.0182 (53.0107) | 221.7842 (38.1883) | 216.1091 (38.7009) | 254.6503 (33.776) | 285.4752 (34.862) |
| | CI + LS | Ackley (T1) | 20.1832 (0.070467) | 20.2581 (0.076936) | 21.1314 (0.18667) | 21.1755 (0.095171) | 21.2042 (0.035706) | | Schwefel (T2) | 3824.8672 (496.1597) | 4127.384 (543.3295) | 4983.5594 (674.4369) | 6483.7105 (651.6798) | 9190.921 (809.3925) |
| | PI + HS | Rastrigin (T1) | 581.7632 (105.6933) | 523.3279 (105.1762) | 487.0637 (75.8617) | 551.2203 (52.6853) | 703.3003 (53.7786) | | Sphere (T2) | 10.4851 (2.938) | 23.4939 (5.4039) | 77.4685 (18.854) | 279.6843 (60.0515) | 925.112 (136.8732) |
| | PI + MS | Rosenbrock (T1) | 704.2483 (194.3793) | 847.7707 (444.2602) | 827.9882 (262.5255) | 921.319 (274.8149) | 994.1248 (360.4791) | | Ackley (T2) | 3.536 (0.47139) | 3.5078 (0.44899) | 3.184 (0.52678) | 3.0892 (0.35566) | 3.065 (0.44793) |
| | PI + LS | Ackley (T1) | 20.0635 (0.11943) | 18.5992 (4.4149) | 8.1149 (5.0013) | 12.1763 (4.2508) | 17.6463 (1.985) | | Weierstrass (T2) | 21.1636 (2.9837) | 17.1749 (4.5975) | 7.1416 (3.7411) | 9.5313 (2.9627) | 12.7291 (2.4443) |
| | NI + HS | Rosenbrock (T1) | 893.3438 (461.7737) | 1270.6183 (464.4725) | 1975.3255 (830.198) | 3119.4286 (1320.8244) | 3371.1812 (930.8882) | | Rastrigin (T2) | 256.4173 (72.8876) | 270.6796 (56.3406) | 258.0463 (42.4254) | 289.2213 (37.8549) | 314.6832 (25.0243) |
| | NI + MS | Griewank (T1) | 0.43002 (0.055528) | 0.62839 (0.069078) | 0.91277 (0.067813) | 1.1003 (0.055504) | 1.1685 (0.048888) | | Weierstrass (T2) | 26.604 (2.6594) | 25.9726 (2.6735) | 24.5367 (3.3814) | 24.7251 (4.1937) | 24.0061 (1.8508) |
| | NI + LS | Rastrigin (T1) | 591.6303 (109.6072) | 581.8746 (95.9773) | 575.5375 (77.6449) | 812.6911 (94.0908) | 3809.7344 (371.7017) | | Schwefel (T2 | 3808.2556 (433.1423) | 4299.1473 (452.9019) | 5202.6947 (583.6562) | 7050.294 (686.6561) | 13849.5465 (430.4324) |
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