Research Article
An Improved Convergence Particle Swarm Optimization Algorithm with Random Sampling of Control Parameters
Table 3
Comparison of the optimization results on benchmark functions (50D).
| | function | algorithm | PSO | DCW-PSO | LDC-PSO | DPSO | SS-PSO | SC-PSO |
| | f1 | Mean | 4.64E+04 | 8.63E-02 | 1.12E-03 | 2.46E-01 | 5.26E-59 | 8.06E-87 | | Std | 1.45E+04 | 9.92E-02 | 8.26E-04 | 2.96E-01 | 6.84E-59 | 2.85E-87 | | Rank | 6 | 4 | 3 | 5 | 2 | 1 |
| | f2 | Mean | 4.06E+03 | 8.15E+01 | 7.75E+01 | 1.23E+02 | 4.91E+01 | 4.89E+01 | | Std | 1.60E+03 | 3.12E+01 | 4.12E+01 | 5.55E+01 | 1.74E+01 | 6.04E+00 | | Rank | 6 | 4 | 3 | 5 | 2 | 1 |
| | f3 | Mean | 3.70E+02 | 1.59E+00 | 4.66E-01 | 4.00E-01 | 5.66E-03 | 4.93E-03 | | Std | 1.33E+02 | 2.26E+00 | 6.53E-01 | 6.26E-01 | 9.00E-03 | 9.59E-03 | | Rank | 6 | 5 | 4 | 3 | 2 | 1 |
| | f4 | Mean | 1.88E+01 | 1.33E+01 | 8.68E+00 | 8.32E+00 | 8.76E-14 | 3.69E-14 | | Std | 1.21E+00 | 1.78E+00 | 1.47E+00 | 3.79E+00 | 1.44E-14 | 7.42E-15 | | Rank | 6 | 5 | 4 | 3 | 2 | 1 |
| | f5 | Mean | 1.10E+04 | 8.81E+03 | 1.05E+04 | 5.25E+03 | 6.36E-04 | 6.36E-04 | | Std | 8.08E+02 | 6.17E+02 | 1.28E+03 | 9.32E+02 | 1.37E-11 | 1.47E-09 | | Rank | 6 | 4 | 5 | 3 | 1 | 1 |
| | f6 | Mean | 5.99E+01 | 3.51E+01 | 2.15E+01 | 1.30E+01 | 9.59E-14 | 2.84E-14 | | Std | 7.96E+00 | 3.95E+00 | 3.09E+00 | 4.60E+00 | 6.04E-14 | 1.03E-14 | | Rank | 6 | 5 | 4 | 3 | 2 | 1 |
| | f7 | Mean | 3.37E+02 | 2.11E+02 | 1.70E+02 | 1.06E+02 | 0.00E+00 | 0.00E+00 | | Std | 6.89E+01 | 3.62E+01 | 6.86E+01 | 3.42E+01 | 0.00E+00 | 0.00E+00 | | Rank | 6 | 4 | 5 | 3 | 1 | 1 |
| | f8 | Mean | 8.37E+01 | 3.49E-18 | 3.14E-04 | 4.33E-05 | 1.37E-122 | 7.49E-175 | | Std | 4.00E+01 | 7.07E-18 | 1.32E-03 | 1.14E-04 | 4.24E-122 | 0.00E+00 | | Rank | 6 | 3 | 5 | 4 | 2 | 1 |
| | f9 | Mean | 1.11E+02 | 2.23E+01 | 1.19E+00 | 1.56E+12 | 6.71E-30 | 1.70E-44 | | Std | 1.97E+01 | 1.08E+01 | 1.23E+00 | 8.44E+12 | 8.51E-30 | 1.58E-44 | | Rank | 6 | 4 | 3 | 5 | 2 | 1 |
| | f10 | Mean | 1.62E+01 | 1.91E+01 | 1.65E+01 | 1.93E+01 | 5.11E+00 | 3.44E+00 | | Std | 1.33E+00 | 1.02E+00 | 2.00E+00 | 5.87E-01 | 1.02E+00 | 1.07E+00 | | Rank | 3 | 5 | 4 | 6 | 2 | 1 |
| | Average Rank | 5.7 | 4.3 | 4.0 | 4.0 | 1.8 | 1 | | Total Rank | 6 | 5 | 3 | 3 | 2 | 1 |
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