Table 1 Efficiency analysis of the three initialization methods in generating valid results (\(\alpha = 0.05\)).
Initialization [Algorithm] | Traditional method based on CCS [PSO] | Traditional method based on SCS [SGWO,SWOA,SHHO,SDBO,SPSO] | Optimization method in this paper [SAEPSO] | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Environment | Max. | Min. | Mean | Std | T-test | Max. | Min. | Mean | Std | T-test | Max. | Min. | Mean | Std | T-test |
Scenario 1 | 28 | 1 | 10 | 8.78 | ✔ | 6 | 1 | 1.75 | 1.25 | ✔ | 1 | 1 | 1 | 0.00 | – |
Scenario 2 | 239 | 2 | 61.9 | 67.09 | ✔ | 9 | 1 | 3.05 | 2.39 | ✔ | 3 | 1 | 1.35 | 0.59 | – |
Scenario 3 | 402 | 48 | 194.25 | 117.37 | ✔ | 126 | 2 | 28.35 | 30.07 | ✔ | 31 | 1 | 12.25 | 10.12 | – |
Scenario 4 | 625 | 2 | 183.45 | 162.80 | ✔ | 5 | 1 | 1.75 | 1.07 | O | 3 | 1 | 1.5 | 0.69 | – |
Scenario 5 | 1882 | 22 | 617.2 | 591.06 | ✔ | 21 | 1 | 7.95 | 6.13 | ✔ | 5 | 1 | 1.9 | 1.12 | – |
Scenario 6 | 6555 | 7 | 1498.85 | 1637.48 | ✔ | 50 | 1 | 13.45 | 14.94 | ✔ | 8 | 1 | 2.55 | 2.19 | – |