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 | 483 | 0 | 4.75E − 08 | 0 | 0.569 |
| PSO-3P | 30 | 500 | 3 | 489 | 0 | 1.51E − 08 | 0 | 0.56 | ELIPSO [19] | 30 | 100 | 1500 | — | 2.979E − 08 | 5.244E − 08 | 5.170E − 06 | — | LDWIPSO [19] | 30 | 100 | 1500 | — | 1.360E − 08 | 6.110E − 08 | 5.920E − 08 | — | FIWPSO [19] | 30 | 100 | 1500 | — | 7.280E − 08 | 1.701E − 07 | 1.173E − 07 | — | CIWPSO [19] | 30 | 100 | 1500 | — | 5.400E − 08 | 1.565E − 07 | 1.670E − 07 | — | RIWPSO [19] | 30 | 100 | 1500 | — | 1.600E − 08 | 4.810E − 07 | 6.900E − 08 | — | TVACPSO [19] | 30 | 100 | 1500 | — | 4.430E − 10 | 1.077E − 09 | 1.046E − 09 | — | COPSO [19] | 30 | 100 | 1500 | — | 5.080E − 09 | 9.550E − 09 | 9.470E − 09 | — | IRPEO [13] | 30 | 50000 | 50 | — | 1.88E − 01 | 2.96E − 01 | — | — | pPSA [20] | 30 | 2000 | 30 | — | 5.60E − 06 | 7.88E − 06 | 7.93E − 06 | — | PSO-EO [22] | 30 | 20000 | 10 | — | 0 | 0.00E + 00 | — | 0.61 | LX-PM [23] | 30 | 5000 | 300 | 43541 | — | 4.75E − 11 | — | 0.505 | LX-MPTM [23] | 30 | 5000 | 300 | 59861 | — | 1.32E − 07 | — | 0.724 | LX-NUM [23] | 30 | 5000 | 300 | 67661 | — | 3.34E − 11 | — | 0.819 | HX-PM [23] | 30 | 5000 | 300 | 89751 | — | 4.75E − 11 | — | 0.733 | HX-MPTM [23] | 30 | 5000 | 300 | 87031 | — | 5.48E − 05 | — | 0.944 | HX-NUM [23] | 30 | 5000 | 300 | 107581 | — | 3.64E − 04 | — | 1.165 | ADM [24] | 30 | 285 | — | — | — | 0 | — | 11.45 | RM [24] | 30 | 29500 | — | — | — | 3.31E − 06 | — | 2577.08 | PLM [24] | 30 | 29678 | — | — | — | 5.62E − 07 | — | 2538.16 | NUM [24] | 30 | 29788 | — | — | — | 1.13E − 06 | — | 899.87 | MNUM [24] | 30 | 11585 | — | — | — | 0.00E + 00 | — | 336.02 | PM [24] | 30 | 28498 | — | — | — | 1.20E − 02 | — | 994.49 |
| PSO-3P | 50 | 500 | 3 | 469 | 0 | 3.03E − 08 | 0 | 0.539 |
| PSO-3P | 100 | 500 | 3 | 481 | 0 | 1.27E − 07 | 0 | 0.569 | ELPSO [19] | 100 | 100 | 5000 | — | 4.297E − 05 | 6.035E − 05 | 5.811E − 05 | — | CPSO [19] | 100 | — | — | — | 2.708E − 04 | 5.398E − 04 | 4.095E − 04 | — | HS [19] | 100 | — | — | — | 69.0111 | 76.0844 | 78.0859 | — | GA [19] | 100 | — | — | — | 23.7734 | 29.4081 | 31.2806 | — | FSO [19] | 100 | — | — | — | 2.001E − 04 | 2.211E − 04 | 2.216E − 04 | — | GSA [19] | 100 | — | — | — | 0.0562 | 0.0672 | 0.0691 | — | BSOA [19] | 100 | — | — | — | 0.3406 | 0.3696 | 0.3720 | — | ABC [19] | 100 | — | — | — | 198.6946 | 230.8250 | 237.4058 | — |
| PSO-3P | 120 | 500 | 3 | 418 | 0 | 1.39E − 08 | 0 | 0.492 |
| PSO-3P | 1000 | 500 | 3 | 486 | 0 | 3.64E − 08 | 0 | 0.599 |
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