Table 4 Scalability analysis of SAEPSO and lerature algorithms (\(\alpha = 0.05\); \(n = 5,15\)).
Environment | Statistics | PSO | SGWO | SWOA | SHHO | SDBO | SPSO | SAEPSO |
|---|---|---|---|---|---|---|---|---|
Scenario 1 (n=5) | Mean | 23949 | 21767 | 24731 | 24470 | 25209 | 22689 | 21649 |
Std | 2824.9 | 624.7 | 1292.0 | 1035.4 | 321.2 | 1787.0 | 82.7 | |
T-test | ✔ | O | ✔ | ✔ | ✔ | O | – | |
Scenario 1 (n=15) | Mean | 74375 | 34661 | 42587 | 26990 | 28437 | 48245 | 26695 |
Std | 8397.2 | 5126.8 | 12294.8 | 509.7 | 4385.0 | 6847.0 | 2373.9 | |
T-test | ✔ | ✔ | ✔ | O | O | ✔ | – | |
Scenario 2 (n=5) | Mean | 32661 | 23302 | 29973 | 32817 | 29932 | 24934 | 22062 |
Std | 14141.2 | 1507.3 | 8475.5 | 9892.2 | 4597.8 | 3715.6 | 359.7 | |
T-test | ✔ | ✔ | ✔ | ✔ | ✔ | ✔ | – | |
Scenario 2 (n=15) | Mean | – | 43278 | 47572 | 31901 | 30488 | 45368 | 27089 |
Std | – | 11057.2 | 13475.2 | 2841.7 | 2617.6 | 6738.0 | 2379.9 | |
T-test | – | ✔ | ✔ | ✔ | ✔ | ✔ | – | |
Scenario 3 (n=5) | Mean | 38462 | 32094 | 34746 | 39000 | 36761 | 30730 | 27442 |
Std | 5768.7 | 4294.0 | 3528.5 | 4687.6 | 6802.0 | 3967.2 | 288.5 | |
T-test | ✔ | ✔ | ✔ | ✔ | ✔ | ✔ | – | |
Scenario 3 (n=15) | Mean | – | 46601 | 78334 | 59017 | 63996 | 50503 | 42847 |
Std | – | 4226.5 | 11573.7 | 2709.0 | 6443.9 | 6330.2 | 2797.3 | |
T-test | – | O | ✔ | ✔ | ✔ | ✔ | – | |
Scenario 4 (n=5) | Mean | 29321 | 16889 | 17089 | 20850 | 18351 | 18126 | 14823 |
Std | 15650.6 | 7069.5 | 2606.0 | 4023.4 | 1348.7 | 6561.1 | 2440.1 | |
T-test | ✔ | O | ✔ | ✔ | ✔ | O | – | |
Scenario 4 (n=15) | Mean | – | 30433 | 28178 | 23007 | 27265 | 47620 | 19290 |
Std | – | 4318.6 | 6260.6 | 96.9 | 5736.6 | 12941.5 | 4010.8 | |
T-test | – | ✔ | ✔ | ✔ | ✔ | ✔ | – | |
Scenario 5 (n=5) | Mean | 25577 | 20708 | 21461 | 21252 | 24172 | 21428 | 19431 |
Std | 3495.8 | 1856.1 | 2935.8 | 2442.8 | 2498.3 | 2547.0 | 1532.5 | |
T-test | ✔ | ✔ | ✔ | O | ✔ | ✔ | – | |
Scenario 5 (n=15) | Mean | – | 35196 | 45489 | 36526 | 43713 | 38366 | 30280 |
Std | – | 6187.9 | 10788.5 | 3771.5 | 5359.0 | 9047.1 | 5332.3 | |
T-test | – | O | ✔ | ✔ | ✔ | ✔ | – | |
Scenario 6 (n=5) | Mean | 21759 | 17590 | 18688 | 21294 | 21670 | 18858 | 16730 |
Std | 5875.1 | 2763.2 | 3078.8 | 2712.2 | 2987.1 | 2756.3 | 222.4 | |
T-test | ✔ | O | O | ✔ | ✔ | ✔ | – | |
Scenario 6 (n=15) | Mean | – | 30983 | 42347 | 34712 | 45608 | 31514 | 24914 |
Std | – | 3938.7 | 9730.4 | 3925.4 | 4098.2 | 5346.9 | 3666.6 | |
T-test | – | ✔ | ✔ | ✔ | ✔ | ✔ | – |