Research Article
An Improved Convergence Particle Swarm Optimization Algorithm with Random Sampling of Control Parameters
Table 2
Comparison of the optimization results on benchmark functions (30D).
| | function | algorithm | PSO | DCW-PSO | LDC-PSO | DPSO | SS-PSO | SC-PSO |
| | f1 | Mean | 7.59E+03 | 9.11E-10 | 8.29E-12 | 4.63E-06 | 3.06E-67 | 4.13E-125 | | Std | 9.98E+03 | 4.07E-09 | 2.96E-11 | 1.40E-05 | 1.23E-66 | 1.60E-124 | | Rank | 6 | 4 | 3 | 5 | 2 | 1 |
| | f2 | Mean | 1.05E+03 | 2.68E+01 | 3.31E+01 | 3.81E+01 | 2.98E+01 | 2.61E+01 | | Std | 8.56E+02 | 1.82E+01 | 2.28E+01 | 2.39E+01 | 1.70E+01 | 6.17E+00 | | Rank | 6 | 2 | 4 | 5 | 3 | 1 |
| | f3 | Mean | 6.83E+01 | 2.54E-01 | 9.97E-02 | 3.16E-02 | 1.03E-02 | 1.04E-02 | | Std | 8.03E+01 | 4.25E-01 | 1.26E-01 | 3.35E-02 | 1.44E-02 | 3.70E-02 | | Rank | 6 | 5 | 4 | 3 | 2 | 1 |
| | f4 | Mean | 1.54E+01 | 7.56E+00 | 4.57E+00 | 2.35E+00 | 4.87E-14 | 2.15E-14 | | Std | 2.71E+00 | 2.38E+00 | 1.21E+00 | 3.00E+00 | 1.01E-14 | 7.24E-15 | | Rank | 6 | 5 | 4 | 3 | 2 | 1 |
| | f5 | Mean | 5.40E+03 | 4.85E+03 | 4.77E+03 | 3.40E+03 | 3.82E-04 | 3.82E-04 | | Std | 6.16E+02 | 8.06E+02 | 8.83E+02 | 7.63E+02 | 7.05E-12 | 2.25E-12 | | Rank | 6 | 5 | 4 | 3 | 1 | 1 |
| | f6 | Mean | 2.36E+01 | 1.47E+01 | 6.38E+00 | 6.03E+00 | 3.20E-14 | 7.82E-15 | | Std | 5.74E+00 | 1.78E+00 | 1.97E+00 | 3.84E+00 | 2.49E-14 | 6.06E-15 | | Rank | 6 | 5 | 4 | 3 | 2 | 1 |
| | f7 | Mean | 1.29E+02 | 9.26E+01 | 8.04E+01 | 2.91E+01 | 0.00E+00 | 0.00E+00 | | Std | 4.19E+01 | 2.13E+01 | 3.13E+01 | 1.74E+01 | 0.00E+00 | 0.00E+00 | | Rank | 6 | 4 | 5 | 3 | 1 | 1 |
| | f8 | Mean | 4.10E+00 | 6.13E-60 | 7.21E-24 | 1.35E-08 | 4.19E-139 | 5.76E-253 | | Std | 6.46E+00 | 2.15E-59 | 3.21E-23 | 5.58E-08 | 1.87E-138 | 0.00E+00 | | Rank | 6 | 3 | 4 | 5 | 2 | 1 |
| | f9 | Mean | 3.19E+01 | 2.05E+00 | 7.55E-03 | 6.22E+01 | 1.22E-34 | 1.22E-64 | | Std | 1.73E+01 | 1.71E+00 | 1.42E-02 | 2.35E+01 | 2.05E-34 | 9.86E-65 | | Rank | 6 | 4 | 3 | 5 | 2 | 1 |
| | f10 | Mean | 8.58E+00 | 1.02E+01 | 9.31E+00 | 1.03E+01 | 3.13E+00 | 1.49E+00 | | Std | 1.39E+00 | 7.68E-01 | 9.44E-01 | 6.89E-01 | 8.29E-01 | 8.05E-01 | | Rank | 3 | 5 | 4 | 6 | 2 | 1 |
| | Average Rank | 5.7 | 4.2 | 3.9 | 4.1 | 1.9 | 1 | | Total rank | 6 | 5 | 3 | 4 | 2 | 1 |
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