Research Article
Hybrid Genetic Grey Wolf Algorithm for Large-Scale Global Optimization
Table 5
Comparison results of 7 CEC’2008 benchmark functions by five algorithms.
| | Function | Dim | CCPSO2 | DEwSAcc | MLCC | EPUS-PSO | HGGWA | | Mean | Std | Mean | Std | Mean | Std | Mean | Std | Mean | Std |
| | F1 | 100 | 7.73E-14 | 3.23E-14 | 5.68E-14 | 0.00E+00 | 6.82E-14 | 2.32E-14 | 7.47E-01 | 1.70E-01 | 3.06E-17 | 2.93E-17 | | 500 | 3.00E-13 | 7.96E-14 | 2.09E-09 | 4.61E-09 | 4.29E-13 | 3.31E-14 | 8.45E+01 | 6.40E+00 | 2.75E-15 | 2.13E-15 | | 1000 | 5.18E-13 | 9.61E-14 | 8.78E-03 | 5.27E-03 | 8.45E-13 | 5.00E-14 | 5.53E+02 | 2.86E+01 | 1.06E-10 | 1.83E-11 |
| | F2 | 100 | 6.08E+00 | 7.83E+00 | 8.25E+00 | 5.32E+00 | 2.52E+01 | 8.72E+00 | 1.86E+01 | 2.26E+00 | 2.71E+00 | 2.39E+00 | | 500 | 5.79E+01 | 4.21E+01 | 7.57E+01 | 3.04E+00 | 6.66E+01 | 5.69E+00 | 4.35E+01 | 5.51E-01 | 3.12E+01 | 4.91E+00 | | 1000 | 7.82E+01 | 4.25E+01 | 9.60E+01 | 1.81E+00 | 1.08E+02 | 4.75E+00 | 4.66E+01 | 4.00E-01 | 2.71E+01 | 5.66E+00 |
| | F3 | 100 | 4.23E+02 | 8.65E+02 | 1.45E+02 | 5.84E+01 | 1.49E+02 | 5.72E+01 | 4.99E+03 | 5.35E+03 | 9.81E+01 | 2.25E-01 | | 500 | 7.24E+02 | 1.54E+02 | 1.81E+03 | 2.74E+02 | 9.24E+02 | 1.72E+02 | 5.77E+04 | 8.04E+03 | 4.96E+02 | 6.23E-01 | | 1000 | 1.33E+03 | 2.63E+02 | 9.14E+03 | 1.26E+03 | 1.79E+03 | 1.58E+02 | 8.37E+05 | 1.52E+05 | 9.97E+02 | 3.58E+01 |
| | F4 | 100 | 3.98E-02 | 1.99E-01 | 4.37E+00 | 7.65E+00 | 4.38E-13 | 9.21E-14 | 4.71E+02 | 5.94E+01 | 0.00E+00 | 0.00E+00 | | 500 | 3.98E-02 | 1.99E-01 | 3.64E+02 | 5.23E+01 | 1.79E-11 | 6.31E-11 | 3.49E+03 | 1.12E+02 | 0.00E+00 | 0.00E+00 | | 1000 | 1.99E-01 | 4.06E-01 | 1.82E+03 | 1.37E+02 | 1.37E-10 | 3.37E-10 | 7.58E+03 | 1.51E+02 | 4.93E-11 | 2.87E-12 |
| | F5 | 100 | 3.45E-03 | 4.88E-03 | 3.07E-14 | 7.86E-15 | 3.41E-14 | 1.16E-14 | 3.72E-01 | 5.60E-02 | 0.00E+00 | 0.00E+00 | | 500 | 1.18E-03 | 4.61E-03 | 6.90E-04 | 2.41E-03 | 2.12E-13 | 2.47E-14 | 1.64E+00 | 4.69E-02 | 2.16E-16 | 7.56E-17 | | 1000 | 1.18E-03 | 3.27E-03 | 3.58E-03 | 5.73E-03 | 4.18E-13 | 2.78E-14 | 5.89E+00 | 3.91E-01 | 5.49E-13 | 2.35E-14 |
| | F6 | 100 | 1.44E-13 | 3.06E-14 | 1.13E-13 | 1.53E-14 | 1.11E-13 | 7.86E-15 | 2.06E+00 | 4.40E-01 | 3.21E-15 | 2.48E-15 | | 500 | 5.34E-13 | 8.61E-14 | 4.80E-01 | 5.73E-01 | 5.34E-13 | 7.01E-14 | 6.64E+00 | 4.49E-01 | 6.74E-12 | 4.39E-12 | | 1000 | 1.02E-12 | 1.68E-13 | 2.29E+00 | 2.98E-01 | 1.06E-12 | 7.68E-14 | 1.89E+01 | 2.49E+00 | 2.39E-07 | 2.13E-07 |
| | F7 | 100 | -1.50E+03 | 1.04E+01 | -1.37E+03 | 2.46E+01 | -1.54E+03 | 2.52E+00 | -8.55E+02 | 1.35E+01 | -7.00e+02 | 6.64E-01 | | 500 | -7.23E+03 | 4.16E+01 | -5.74E+03 | 1.83E+02 | -7.43E+03 | 8.03E+00 | -3.51E+03 | 2.10E+01 | -8.83e+03 | 3.54E+00 | | 1000 | -1.43E+04 | 8.27E+01 | -1.05E+04 | 4.18E+02 | -1.47E+04 | 1.51E+01 | -6.62E+03 | 3.18E+01 | -3.69E+04 | 2.16E+02 |
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