Research Article
An Efficient Algorithm for Unconstrained Optimization
| Algorithm | Dim. | M. G/I | P. | EOF | Best | Average | Median | Time (s) |
| PSO-3P | 10 | 500 | 3 | 282 | 0 | 0 | 0 | 0.338 |
| PSO-3P | 30 | 500 | 3 | 513 | 0 | 1.61E − 05 | 0 | 0.86 | ELIPSO [19] | 30 | 100 | 1500 | — | 1.63E − 04 | 2.27E − 04 | 2.55E − 04 | — | LDWIPSO [19] | 30 | 100 | 1500 | — | 0.0002 | 0.0135 | 0.0089 | — | FIWPSO [19] | 30 | 100 | 1500 | — | 0.0007 | 0.0118 | 0.0097 | — | CIWPSO [19] | 30 | 100 | 1500 | — | 0.0015 | 0.0124 | 0.0119 | — | RIWPSO [19] | 30 | 100 | 1500 | — | 0 | 0.0114 | 0.0083 | — | TVACPSO [19] | 30 | 100 | 1500 | — | 0 | 0.0209 | 0.0148 | — | COPSO [19] | 30 | 100 | 1500 | — | 0 | 0.0136 | 0.0136 | — | IRPEO [13] | 30 | 50000 | 50 | — | 1.04E − 05 | 1.92E − 05 | — | — | pPSA [20] | 30 | 2000 | 30 | — | 3.12E − 07 | 1.21E − 02 | 9.86E − 03 | — | PSO [21] | 30 | 100 | — | 170000 | — | 0 | — | 0.52 | SFLA [21] | 30 | 100 | — | 120000 | — | 1.00E − 02 | — | 0.45 | MSFLA [21] | 30 | 100 | — | 70000 | — | 0 | — | 0.28 | MSFLA-EO [21] | 30 | 100 | — | 50000 | — | 0 | — | 0.21 | PSO-EO [22] | 30 | 20000 | 30 | — | 0 | 0 | — | 0.23 | LX-PM [23] | 30 | 5000 | 300 | 100001 | — | 1.94E − 03 | — | 1.851 | LX-MPTM [23] | 30 | 5000 | 300 | 143371 | — | 1.14E − 03 | — | 2.723 | LX-NUM [23] | 30 | 5000 | 300 | 159971 | — | 8.57E − 03 | — | 3.035 | HX-PM [23] | 30 | 5000 | 300 | 236391 | — | 1.94E − 03 | — | 3.554 | HX-MPTM [23] | 30 | 5000 | 300 | 253931 | — | 1.52E − 03 | — | 4.486 | HX-NUM [23] | 30 | 5000 | 300 | 252571 | — | 3.68E − 03 | — | 4.457 | ADM [24] | 30 | 519 | — | — | — | 4.43E − 03 | — | 20.47 | RM [24] | 30 | 28743 | — | — | — | 1.36E − 02 | — | 3278.67 | PLM [24] | 30 | 277288 | — | — | — | 5.74E − 03 | — | 2987.69 | NUM [24] | 30 | 27915 | — | — | — | 2.45E − 02 | — | 819.56 | MNUM [24] | 30 | 15118 | — | — | — | 3.66E − 02 | — | 478.1 | PM [24] | 30 | 28864 | — | — | — | 1.02E + 00 | — | 900.25 |
| PSO-3P | 50 | 500 | 3 | 501 | 0 | 9.54E − 06 | 0 | 0.646 | PSO [21] | 50 | 100 | — | 1300000 | — | 0 | — | 4.32 | SFLA [21] | 50 | 100 | — | 3400000 | — | 1.00E − 02 | — | 11.98 | MSFLA [21] | 50 | 100 | — | 460000 | — | 0 | — | 1.91 | MSFLA-EO [21] | 50 | 100 | — | 820000 | — | 0 | — | 2.06 | CSA [25] | 50 | 2000 | — | 4000 | — | 1.01E + 00 | — | — | ACSA [25] | 50 | 2000 | — | 2500 | — | 7.00E − 01 | — | — |
| PSO-3P | 100 | 500 | 3 | 485 | 0 | 1.44E − 06 | 0 | 0.589 | ELPSO [19] | 100 | 100 | 5000 | — | 0.1846 | 0.2612 | 0.2127 | — | CPSO [19] | 100 | — | — | — | 0.2347 | 0.2841 | 0.2793 | — | HS [19] | 100 | — | — | — | 244.5269 | 271.336 | 268.3095 | — | GA [19] | 100 | — | — | — | 86.0552 | 104.867 | 108.7177 | — | FSO [19] | 100 | — | — | — | 0.0136 | 0.0152 | 0.0151 | — | GSA [19] | 100 | — | — | — | 0.2126 | 1.1321 | 0.6543 | — | BSOA [19] | 100 | — | — | — | 60.9781 | 83.5311 | 84.5294 | — | ABC [19] | 100 | — | — | — | 722.3432 | 817.3863 | 844.5736 | — |
| PSO-3P | 120 | 500 | 3 | 498 | 0 | 1.44E − 07 | 0 | 0.624 |
| PSO-3P | 1000 | 500 | 3 | 507 | 0 | 1.18E − 04 | 0 | 0.617 |
|
|
Average.
|