Comparison between HBWO-JS and CEC winners and classical algorithms in the CEC2017 test suite.
| Function . | Index . | Algorithms . | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| HBWO-JS . | L-SHADE . | LSHADE-cnEpSin . | LSHADE-SPACMA . | PSO . | GA . | ABC . | GWO . | WOA . | ||
| cec01 | Mean | 5.02E+03 | 5.51E+03 | 1.44E+06 | 4.26E+06 | 4.15E+09 | 3.15E+10 | 7.68E+07 | 2.47E+09 | 1.70E+09 |
| Std | 3.26E+03 | 5.89E+03 | 7.91E+05 | 2.03E+06 | 3.30E+09 | 1.13E+10 | 9.33E+07 | 1.44E+09 | 6.54E+08 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec03 | Mean | 2.27E+04 | 3.46E+04 | 1.13E+04 | 1.47E+04 | 1.19E+05 | 2.70E+05 | 4.07E+05 | 5.63E+04 | 2.62E+05 |
| Std | 5.41E+03 | 4.81E+04 | 1.83E+04 | 7.97E+03 | 8.17E+04 | 9.24E+04 | 1.57E+05 | 1.28E+04 | 6.44E+04 | |
| Rank | 3 | 4 | 1 | 2 | 6 | 8 | 9 | 5 | 7 | |
| cec04 | Mean | 4.86E+02 | 4.90E+02 | 4.97E+02 | 5.03E+02 | 9.78E+02 | 7.43E+03 | 5.58E+02 | 6.13E+02 | 8.62E+02 |
| Std | 3.51E+01 | 2.88E+01 | 9.16E+00 | 1.13E+01 | 5.43E+02 | 3.12E+03 | 5.69E+01 | 5.81E+01 | 1.71E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec05 | Mean | 6.23E+02 | 5.44E+02 | 5.21E+02 | 6.61E+02 | 7.47E+02 | 8.49E+02 | 7.61E+02 | 6.32E+02 | 8.20E+02 |
| Std | 2.96E+01 | 8.10E+00 | 6.38E-02 | 1.69E+01 | 4.03E+01 | 5.21E+01 | 1.28E+01 | 4.37E+01 | 5.43E+01 | |
| Rank | 3 | 2 | 1 | 5 | 6 | 9 | 7 | 4 | 8 | |
| cec06 | Mean | 6.00E+02 | 6.01E+02 | 6.02E+02 | 6.03E+02 | 6.47E+02 | 6.70E+02 | 6.14E+02 | 6.11E+02 | 6.81E+02 |
| Std | 1.39E-01 | 6.00E-01 | 4.85E-01 | 6.37E-01 | 1.22E+01 | 1.83E+01 | 4.80E+00 | 3.47E+00 | 1.13E+01 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 8 | 6 | 5 | 9 | |
| cec07 | Mean | 8.78E+02 | 7.97E+02 | 9.24E+02 | 9.07E+02 | 1.07E+03 | 1.66E+03 | 1.00E+03 | 8.97E+02 | 1.29E+03 |
| Std | 3.93E+01 | 1.90E+01 | 1.14E+01 | 1.91E+01 | 5.13E+01 | 2.23E+02 | 1.45E+01 | 5.77E+01 | 6.68E+01 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 6 | 3 | 8 | |
| cec08 | Mean | 8.98E+02 | 8.48E+02 | 9.74E+02 | 9.60E+02 | 9.97E+02 | 1.09E+03 | 1.06E+03 | 9.05E+02 | 1.04E+03 |
| Std | 1.23E+01 | 9.42E+00 | 1.40E+01 | 1.45E+01 | 3.70E+01 | 4.29E+01 | 1.21E+01 | 2.16E+01 | 5.14E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec09 | Mean | 3.12E+03 | 1.12E+03 | 9.12E+02 | 9.28E+02 | 4.74E+03 | 1.07E+04 | 6.15E+03 | 2.48E+03 | 1.07E+04 |
| Std | 1.25E+03 | 1.36E+02 | 6.25E+00 | 1.67E+01 | 1.52E+03 | 2.47E+03 | 1.12E+03 | 1.03E+03 | 4.42E+03 | |
| Rank | 5 | 3 | 1 | 2 | 6 | 9 | 7 | 4 | 8 | |
| cec10 | Mean | 3.55E+03 | 3.75E+03 | 7.60E+03 | 7.20E+03 | 6.68E+03 | 6.54E+03 | 9.34E+03 | 4.60E+03 | 6.75E+03 |
| Std | 3.01E+02 | 3.95E+02 | 6.19E+02 | 7.08E+02 | 6.32E+02 | 5.51E+02 | 2.70E+02 | 1.05E+03 | 7.76E+02 | |
| Rank | 1 | 2 | 8 | 7 | 5 | 4 | 9 | 3 | 6 | |
| cec11 | Mean | 1.19E+03 | 1.25E+03 | 1.26E+03 | 1.26E+03 | 2.04E+03 | 1.84E+04 | 1.49E+04 | 1.91E+03 | 6.80E+03 |
| Std | 3.08E+01 | 5.01E+01 | 3.14E+01 | 2.53E+01 | 7.67E+02 | 8.79E+03 | 3.40E+03 | 8.35E+02 | 3.05E+03 | |
| Rank | 1 | 2 | 4 | 3 | 6 | 9 | 8 | 5 | 7 | |
| cec12 | Mean | 6.78E+05 | 8.75E+04 | 1.20E+03 | 8.13E+05 | 6.88E+08 | 4.34E+09 | 7.35E+08 | 9.70E+07 | 2.40E+08 |
| Std | 3.61E+05 | 6.51E+04 | 7.52E-01 | 5.58E+05 | 1.59E+09 | 2.17E+09 | 2.44E+08 | 8.87E+07 | 1.58E+08 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 8 | 5 | 6 | |
| cec13 | Mean | 5.93E+03 | 1.02E+04 | 1.31E+03 | 3.58E+04 | 1.05E+08 | 5.69E+09 | 2.73E+05 | 8.14E+06 | 2.07E+06 |
| Std | 5.46E+03 | 1.14E+04 | 6.71E-01 | 8.84E+03 | 3.99E+08 | 5.43E+09 | 2.55E+05 | 2.50E+07 | 3.34E+06 | |
| Rank | 2 | 3 | 1 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec14 | Mean | 1.17E+04 | 1.56E+03 | 1.53E+03 | 1.60E+03 | 3.95E+05 | 1.02E+07 | 4.95E+05 | 3.53E+05 | 2.46E+06 |
| Std | 8.61E+03 | 5.82E+01 | 1.65E+01 | 4.29E+01 | 8.38E+05 | 8.81E+06 | 2.01E+05 | 5.35E+05 | 3.15E+06 | |
| Rank | 4 | 2 | 1 | 3 | 6 | 9 | 7 | 5 | 8 | |
| cec15 | Mean | 3.64E+03 | 1.90E+03 | 5.20E+03 | 8.11E+03 | 3.31E+04 | 1.20E+09 | 1.43E+06 | 6.10E+05 | 2.63E+06 |
| Std | 2.74E+03 | 2.25E+02 | 1.63E+03 | 4.39E+03 | 3.43E+04 | 2.02E+09 | 1.22E+06 | 8.15E+05 | 7.41E+06 | |
| Rank | 2 | 1 | 3 | 4 | 5 | 9 | 7 | 6 | 8 | |
| cec16 | Mean | 2.32E+03 | 2.35E+03 | 1.61E+03 | 3.02E+03 | 3.53E+03 | 3.92E+03 | 3.99E+03 | 2.58E+03 | 4.05E+03 |
| Std | 1.84E+02 | 2.16E+02 | 1.55E-01 | 1.92E+02 | 5.44E+02 | 4.59E+02 | 2.30E+02 | 2.93E+02 | 5.46E+02 | |
| Rank | 2 | 3 | 1 | 5 | 6 | 7 | 8 | 4 | 9 | |
| cec17 | Mean | 1.95E+03 | 1.90E+03 | 2.22E+03 | 2.13E+03 | 2.67E+03 | 3.39E+03 | 2.92E+03 | 2.05E+03 | 2.58E+03 |
| Std | 1.57E+02 | 1.13E+02 | 1.14E+02 | 1.20E+02 | 3.55E+02 | 1.22E+03 | 1.66E+02 | 1.56E+02 | 2.48E+02 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 8 | 3 | 6 | |
| cec18 | Mean | 3.57E+05 | 2.67E+04 | 1.13E+04 | 1.72E+04 | 1.29E+07 | 3.54E+07 | 1.83E+07 | 9.82E+05 | 8.69E+06 |
| Std | 3.14E+05 | 1.84E+04 | 7.24E+03 | 7.89E+03 | 2.50E+07 | 4.21E+07 | 7.07E+06 | 1.13E+06 | 8.17E+06 | |
| Rank | 4 | 3 | 1 | 2 | 7 | 9 | 8 | 5 | 6 | |
| cec19 | Mean | 2.94E+03 | 2.07E+03 | 2.38E+03 | 3.77E+03 | 4.30E+06 | 6.45E+08 | 1.84E+04 | 1.91E+06 | 1.13E+07 |
| Std | 1.23E+03 | 8.55E+01 | 2.79E+02 | 1.97E+03 | 1.72E+07 | 6.92E+08 | 4.25E+04 | 2.64E+06 | 1.51E+07 | |
| Rank | 3 | 1 | 2 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec20 | Mean | 2.26E+03 | 2.28E+03 | 2.66E+03 | 2.64E+03 | 2.76E+03 | 3.11E+03 | 3.08E+03 | 2.48E+03 | 2.84E+03 |
| Std | 8.68E+01 | 1.19E+02 | 1.19E+02 | 1.05E+02 | 2.38E+02 | 2.85E+02 | 1.15E+02 | 2.29E+02 | 1.96E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec21 | Mean | 2.38E+03 | 2.35E+03 | 2.47E+03 | 2.46E+03 | 2.52E+03 | 2.63E+03 | 2.56E+03 | 2.41E+03 | 2.62E+03 |
| Std | 4.58E+01 | 8.13E+00 | 1.36E+01 | 1.50E+01 | 4.48E+01 | 7.92E+01 | 1.34E+01 | 4.25E+01 | 6.09E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec22 | Mean | 2.30E+03 | 2.68E+03 | 2.32E+03 | 2.32E+03 | 7.55E+03 | 8.26E+03 | 1.05E+04 | 5.38E+03 | 6.56E+03 |
| Std | 1.65E+00 | 1.00E+03 | 2.49E+00 | 4.32E+00 | 2.46E+03 | 1.09E+03 | 3.41E+02 | 2.45E+03 | 2.63E+03 | |
| Rank | 1 | 4 | 2 | 3 | 7 | 8 | 9 | 5 | 6 | |
| cec23 | Mean | 2.73E+03 | 2.70E+03 | 2.82E+03 | 2.81E+03 | 3.33E+03 | 3.25E+03 | 2.92E+03 | 2.79E+03 | 3.10E+03 |
| Std | 1.71E+01 | 1.33E+01 | 1.41E+01 | 1.93E+01 | 1.90E+02 | 1.17E+02 | 1.58E+01 | 4.65E+01 | 6.84E+01 | |
| Rank | 2 | 1 | 5 | 4 | 9 | 8 | 6 | 3 | 7 | |
| cec24 | Mean | 2.91E+03 | 2.87E+03 | 2.80E+03 | 2.97E+03 | 3.59E+03 | 3.57E+03 | 3.11E+03 | 2.96E+03 | 3.23E+03 |
| Std | 2.27E+01 | 1.57E+01 | 3.58E+01 | 8.71E+00 | 2.37E+02 | 1.44E+02 | 1.33E+01 | 6.32E+01 | 8.84E+01 | |
| Rank | 3 | 2 | 1 | 5 | 9 | 8 | 6 | 4 | 7 | |
| cec25 | Mean | 2.89E+03 | 2.89E+03 | 2.87E+03 | 2.89E+03 | 3.10E+03 | 5.32E+03 | 2.96E+03 | 2.98E+03 | 3.11E+03 |
| Std | 7.48E+00 | 7.07E+00 | 2.57E+01 | 6.44E+00 | 8.57E+01 | 1.19E+03 | 3.14E+01 | 3.49E+01 | 5.40E+01 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec26 | Mean | 3.91E+03 | 4.20E+03 | 2.71E+03 | 5.17E+03 | 6.80E+03 | 8.75E+03 | 5.91E+03 | 4.87E+03 | 7.99E+03 |
| Std | 1.03E+03 | 1.62E+02 | 6.81E-01 | 1.47E+02 | 1.61E+03 | 1.00E+03 | 1.92E+02 | 3.06E+02 | 1.04E+03 | |
| Rank | 2 | 3 | 1 | 5 | 7 | 9 | 6 | 4 | 8 | |
| cec27 | Mean | 3.20E+03 | 3.23E+03 | 3.22E+03 | 3.22E+03 | 3.61E+03 | 3.94E+03 | 3.20E+03 | 3.26E+03 | 3.45E+03 |
| Std | 7.56E-05 | 1.58E+01 | 5.52E+00 | 6.09E+00 | 1.79E+02 | 2.42E+02 | 6.88E-05 | 3.21E+01 | 1.15E+02 | |
| Rank | 2 | 5 | 4 | 3 | 8 | 9 | 1 | 6 | 7 | |
| cec28 | Mean | 3.24E+03 | 3.24E+03 | 3.24E+03 | 3.25E+03 | 3.75E+03 | 6.15E+03 | 3.30E+03 | 3.44E+03 | 3.55E+03 |
| Std | 1.63E+01 | 2.74E+01 | 1.71E+01 | 1.65E+01 | 4.31E+02 | 1.25E+03 | 1.27E-01 | 6.44E+01 | 1.04E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec29 | Mean | 3.57E+03 | 3.60E+03 | 3.95E+03 | 3.88E+03 | 4.81E+03 | 6.07E+03 | 5.01E+03 | 3.81E+03 | 5.36E+03 |
| Std | 1.16E+02 | 1.08E+02 | 1.24E+02 | 1.32E+02 | 5.53E+02 | 6.86E+02 | 2.58E+02 | 1.98E+02 | 3.94E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec30 | Mean | 8.81E+03 | 1.08E+04 | 3.33E+04 | 4.51E+04 | 1.81E+07 | 1.65E+08 | 7.11E+05 | 8.39E+06 | 4.06E+07 |
| Std | 1.98E+03 | 3.24E+03 | 1.64E+04 | 2.58E+04 | 4.94E+07 | 1.91E+08 | 5.88E+05 | 6.50E+06 | 3.86E+07 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 9 | 5 | 6 | 8 | |
| Mean rank | 2.10 | 2.17 | 2.90 | 3.90 | 6.83 | 8.59 | 6.59 | 4.66 | 7.28 | |
| Final ranking | 1 | 2 | 3 | 4 | 7 | 9 | 6 | 5 | 8 | |
| Function . | Index . | Algorithms . | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| HBWO-JS . | L-SHADE . | LSHADE-cnEpSin . | LSHADE-SPACMA . | PSO . | GA . | ABC . | GWO . | WOA . | ||
| cec01 | Mean | 5.02E+03 | 5.51E+03 | 1.44E+06 | 4.26E+06 | 4.15E+09 | 3.15E+10 | 7.68E+07 | 2.47E+09 | 1.70E+09 |
| Std | 3.26E+03 | 5.89E+03 | 7.91E+05 | 2.03E+06 | 3.30E+09 | 1.13E+10 | 9.33E+07 | 1.44E+09 | 6.54E+08 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec03 | Mean | 2.27E+04 | 3.46E+04 | 1.13E+04 | 1.47E+04 | 1.19E+05 | 2.70E+05 | 4.07E+05 | 5.63E+04 | 2.62E+05 |
| Std | 5.41E+03 | 4.81E+04 | 1.83E+04 | 7.97E+03 | 8.17E+04 | 9.24E+04 | 1.57E+05 | 1.28E+04 | 6.44E+04 | |
| Rank | 3 | 4 | 1 | 2 | 6 | 8 | 9 | 5 | 7 | |
| cec04 | Mean | 4.86E+02 | 4.90E+02 | 4.97E+02 | 5.03E+02 | 9.78E+02 | 7.43E+03 | 5.58E+02 | 6.13E+02 | 8.62E+02 |
| Std | 3.51E+01 | 2.88E+01 | 9.16E+00 | 1.13E+01 | 5.43E+02 | 3.12E+03 | 5.69E+01 | 5.81E+01 | 1.71E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec05 | Mean | 6.23E+02 | 5.44E+02 | 5.21E+02 | 6.61E+02 | 7.47E+02 | 8.49E+02 | 7.61E+02 | 6.32E+02 | 8.20E+02 |
| Std | 2.96E+01 | 8.10E+00 | 6.38E-02 | 1.69E+01 | 4.03E+01 | 5.21E+01 | 1.28E+01 | 4.37E+01 | 5.43E+01 | |
| Rank | 3 | 2 | 1 | 5 | 6 | 9 | 7 | 4 | 8 | |
| cec06 | Mean | 6.00E+02 | 6.01E+02 | 6.02E+02 | 6.03E+02 | 6.47E+02 | 6.70E+02 | 6.14E+02 | 6.11E+02 | 6.81E+02 |
| Std | 1.39E-01 | 6.00E-01 | 4.85E-01 | 6.37E-01 | 1.22E+01 | 1.83E+01 | 4.80E+00 | 3.47E+00 | 1.13E+01 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 8 | 6 | 5 | 9 | |
| cec07 | Mean | 8.78E+02 | 7.97E+02 | 9.24E+02 | 9.07E+02 | 1.07E+03 | 1.66E+03 | 1.00E+03 | 8.97E+02 | 1.29E+03 |
| Std | 3.93E+01 | 1.90E+01 | 1.14E+01 | 1.91E+01 | 5.13E+01 | 2.23E+02 | 1.45E+01 | 5.77E+01 | 6.68E+01 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 6 | 3 | 8 | |
| cec08 | Mean | 8.98E+02 | 8.48E+02 | 9.74E+02 | 9.60E+02 | 9.97E+02 | 1.09E+03 | 1.06E+03 | 9.05E+02 | 1.04E+03 |
| Std | 1.23E+01 | 9.42E+00 | 1.40E+01 | 1.45E+01 | 3.70E+01 | 4.29E+01 | 1.21E+01 | 2.16E+01 | 5.14E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec09 | Mean | 3.12E+03 | 1.12E+03 | 9.12E+02 | 9.28E+02 | 4.74E+03 | 1.07E+04 | 6.15E+03 | 2.48E+03 | 1.07E+04 |
| Std | 1.25E+03 | 1.36E+02 | 6.25E+00 | 1.67E+01 | 1.52E+03 | 2.47E+03 | 1.12E+03 | 1.03E+03 | 4.42E+03 | |
| Rank | 5 | 3 | 1 | 2 | 6 | 9 | 7 | 4 | 8 | |
| cec10 | Mean | 3.55E+03 | 3.75E+03 | 7.60E+03 | 7.20E+03 | 6.68E+03 | 6.54E+03 | 9.34E+03 | 4.60E+03 | 6.75E+03 |
| Std | 3.01E+02 | 3.95E+02 | 6.19E+02 | 7.08E+02 | 6.32E+02 | 5.51E+02 | 2.70E+02 | 1.05E+03 | 7.76E+02 | |
| Rank | 1 | 2 | 8 | 7 | 5 | 4 | 9 | 3 | 6 | |
| cec11 | Mean | 1.19E+03 | 1.25E+03 | 1.26E+03 | 1.26E+03 | 2.04E+03 | 1.84E+04 | 1.49E+04 | 1.91E+03 | 6.80E+03 |
| Std | 3.08E+01 | 5.01E+01 | 3.14E+01 | 2.53E+01 | 7.67E+02 | 8.79E+03 | 3.40E+03 | 8.35E+02 | 3.05E+03 | |
| Rank | 1 | 2 | 4 | 3 | 6 | 9 | 8 | 5 | 7 | |
| cec12 | Mean | 6.78E+05 | 8.75E+04 | 1.20E+03 | 8.13E+05 | 6.88E+08 | 4.34E+09 | 7.35E+08 | 9.70E+07 | 2.40E+08 |
| Std | 3.61E+05 | 6.51E+04 | 7.52E-01 | 5.58E+05 | 1.59E+09 | 2.17E+09 | 2.44E+08 | 8.87E+07 | 1.58E+08 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 8 | 5 | 6 | |
| cec13 | Mean | 5.93E+03 | 1.02E+04 | 1.31E+03 | 3.58E+04 | 1.05E+08 | 5.69E+09 | 2.73E+05 | 8.14E+06 | 2.07E+06 |
| Std | 5.46E+03 | 1.14E+04 | 6.71E-01 | 8.84E+03 | 3.99E+08 | 5.43E+09 | 2.55E+05 | 2.50E+07 | 3.34E+06 | |
| Rank | 2 | 3 | 1 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec14 | Mean | 1.17E+04 | 1.56E+03 | 1.53E+03 | 1.60E+03 | 3.95E+05 | 1.02E+07 | 4.95E+05 | 3.53E+05 | 2.46E+06 |
| Std | 8.61E+03 | 5.82E+01 | 1.65E+01 | 4.29E+01 | 8.38E+05 | 8.81E+06 | 2.01E+05 | 5.35E+05 | 3.15E+06 | |
| Rank | 4 | 2 | 1 | 3 | 6 | 9 | 7 | 5 | 8 | |
| cec15 | Mean | 3.64E+03 | 1.90E+03 | 5.20E+03 | 8.11E+03 | 3.31E+04 | 1.20E+09 | 1.43E+06 | 6.10E+05 | 2.63E+06 |
| Std | 2.74E+03 | 2.25E+02 | 1.63E+03 | 4.39E+03 | 3.43E+04 | 2.02E+09 | 1.22E+06 | 8.15E+05 | 7.41E+06 | |
| Rank | 2 | 1 | 3 | 4 | 5 | 9 | 7 | 6 | 8 | |
| cec16 | Mean | 2.32E+03 | 2.35E+03 | 1.61E+03 | 3.02E+03 | 3.53E+03 | 3.92E+03 | 3.99E+03 | 2.58E+03 | 4.05E+03 |
| Std | 1.84E+02 | 2.16E+02 | 1.55E-01 | 1.92E+02 | 5.44E+02 | 4.59E+02 | 2.30E+02 | 2.93E+02 | 5.46E+02 | |
| Rank | 2 | 3 | 1 | 5 | 6 | 7 | 8 | 4 | 9 | |
| cec17 | Mean | 1.95E+03 | 1.90E+03 | 2.22E+03 | 2.13E+03 | 2.67E+03 | 3.39E+03 | 2.92E+03 | 2.05E+03 | 2.58E+03 |
| Std | 1.57E+02 | 1.13E+02 | 1.14E+02 | 1.20E+02 | 3.55E+02 | 1.22E+03 | 1.66E+02 | 1.56E+02 | 2.48E+02 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 8 | 3 | 6 | |
| cec18 | Mean | 3.57E+05 | 2.67E+04 | 1.13E+04 | 1.72E+04 | 1.29E+07 | 3.54E+07 | 1.83E+07 | 9.82E+05 | 8.69E+06 |
| Std | 3.14E+05 | 1.84E+04 | 7.24E+03 | 7.89E+03 | 2.50E+07 | 4.21E+07 | 7.07E+06 | 1.13E+06 | 8.17E+06 | |
| Rank | 4 | 3 | 1 | 2 | 7 | 9 | 8 | 5 | 6 | |
| cec19 | Mean | 2.94E+03 | 2.07E+03 | 2.38E+03 | 3.77E+03 | 4.30E+06 | 6.45E+08 | 1.84E+04 | 1.91E+06 | 1.13E+07 |
| Std | 1.23E+03 | 8.55E+01 | 2.79E+02 | 1.97E+03 | 1.72E+07 | 6.92E+08 | 4.25E+04 | 2.64E+06 | 1.51E+07 | |
| Rank | 3 | 1 | 2 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec20 | Mean | 2.26E+03 | 2.28E+03 | 2.66E+03 | 2.64E+03 | 2.76E+03 | 3.11E+03 | 3.08E+03 | 2.48E+03 | 2.84E+03 |
| Std | 8.68E+01 | 1.19E+02 | 1.19E+02 | 1.05E+02 | 2.38E+02 | 2.85E+02 | 1.15E+02 | 2.29E+02 | 1.96E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec21 | Mean | 2.38E+03 | 2.35E+03 | 2.47E+03 | 2.46E+03 | 2.52E+03 | 2.63E+03 | 2.56E+03 | 2.41E+03 | 2.62E+03 |
| Std | 4.58E+01 | 8.13E+00 | 1.36E+01 | 1.50E+01 | 4.48E+01 | 7.92E+01 | 1.34E+01 | 4.25E+01 | 6.09E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec22 | Mean | 2.30E+03 | 2.68E+03 | 2.32E+03 | 2.32E+03 | 7.55E+03 | 8.26E+03 | 1.05E+04 | 5.38E+03 | 6.56E+03 |
| Std | 1.65E+00 | 1.00E+03 | 2.49E+00 | 4.32E+00 | 2.46E+03 | 1.09E+03 | 3.41E+02 | 2.45E+03 | 2.63E+03 | |
| Rank | 1 | 4 | 2 | 3 | 7 | 8 | 9 | 5 | 6 | |
| cec23 | Mean | 2.73E+03 | 2.70E+03 | 2.82E+03 | 2.81E+03 | 3.33E+03 | 3.25E+03 | 2.92E+03 | 2.79E+03 | 3.10E+03 |
| Std | 1.71E+01 | 1.33E+01 | 1.41E+01 | 1.93E+01 | 1.90E+02 | 1.17E+02 | 1.58E+01 | 4.65E+01 | 6.84E+01 | |
| Rank | 2 | 1 | 5 | 4 | 9 | 8 | 6 | 3 | 7 | |
| cec24 | Mean | 2.91E+03 | 2.87E+03 | 2.80E+03 | 2.97E+03 | 3.59E+03 | 3.57E+03 | 3.11E+03 | 2.96E+03 | 3.23E+03 |
| Std | 2.27E+01 | 1.57E+01 | 3.58E+01 | 8.71E+00 | 2.37E+02 | 1.44E+02 | 1.33E+01 | 6.32E+01 | 8.84E+01 | |
| Rank | 3 | 2 | 1 | 5 | 9 | 8 | 6 | 4 | 7 | |
| cec25 | Mean | 2.89E+03 | 2.89E+03 | 2.87E+03 | 2.89E+03 | 3.10E+03 | 5.32E+03 | 2.96E+03 | 2.98E+03 | 3.11E+03 |
| Std | 7.48E+00 | 7.07E+00 | 2.57E+01 | 6.44E+00 | 8.57E+01 | 1.19E+03 | 3.14E+01 | 3.49E+01 | 5.40E+01 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec26 | Mean | 3.91E+03 | 4.20E+03 | 2.71E+03 | 5.17E+03 | 6.80E+03 | 8.75E+03 | 5.91E+03 | 4.87E+03 | 7.99E+03 |
| Std | 1.03E+03 | 1.62E+02 | 6.81E-01 | 1.47E+02 | 1.61E+03 | 1.00E+03 | 1.92E+02 | 3.06E+02 | 1.04E+03 | |
| Rank | 2 | 3 | 1 | 5 | 7 | 9 | 6 | 4 | 8 | |
| cec27 | Mean | 3.20E+03 | 3.23E+03 | 3.22E+03 | 3.22E+03 | 3.61E+03 | 3.94E+03 | 3.20E+03 | 3.26E+03 | 3.45E+03 |
| Std | 7.56E-05 | 1.58E+01 | 5.52E+00 | 6.09E+00 | 1.79E+02 | 2.42E+02 | 6.88E-05 | 3.21E+01 | 1.15E+02 | |
| Rank | 2 | 5 | 4 | 3 | 8 | 9 | 1 | 6 | 7 | |
| cec28 | Mean | 3.24E+03 | 3.24E+03 | 3.24E+03 | 3.25E+03 | 3.75E+03 | 6.15E+03 | 3.30E+03 | 3.44E+03 | 3.55E+03 |
| Std | 1.63E+01 | 2.74E+01 | 1.71E+01 | 1.65E+01 | 4.31E+02 | 1.25E+03 | 1.27E-01 | 6.44E+01 | 1.04E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec29 | Mean | 3.57E+03 | 3.60E+03 | 3.95E+03 | 3.88E+03 | 4.81E+03 | 6.07E+03 | 5.01E+03 | 3.81E+03 | 5.36E+03 |
| Std | 1.16E+02 | 1.08E+02 | 1.24E+02 | 1.32E+02 | 5.53E+02 | 6.86E+02 | 2.58E+02 | 1.98E+02 | 3.94E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec30 | Mean | 8.81E+03 | 1.08E+04 | 3.33E+04 | 4.51E+04 | 1.81E+07 | 1.65E+08 | 7.11E+05 | 8.39E+06 | 4.06E+07 |
| Std | 1.98E+03 | 3.24E+03 | 1.64E+04 | 2.58E+04 | 4.94E+07 | 1.91E+08 | 5.88E+05 | 6.50E+06 | 3.86E+07 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 9 | 5 | 6 | 8 | |
| Mean rank | 2.10 | 2.17 | 2.90 | 3.90 | 6.83 | 8.59 | 6.59 | 4.66 | 7.28 | |
| Final ranking | 1 | 2 | 3 | 4 | 7 | 9 | 6 | 5 | 8 | |
Comparison between HBWO-JS and CEC winners and classical algorithms in the CEC2017 test suite.
| Function . | Index . | Algorithms . | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| HBWO-JS . | L-SHADE . | LSHADE-cnEpSin . | LSHADE-SPACMA . | PSO . | GA . | ABC . | GWO . | WOA . | ||
| cec01 | Mean | 5.02E+03 | 5.51E+03 | 1.44E+06 | 4.26E+06 | 4.15E+09 | 3.15E+10 | 7.68E+07 | 2.47E+09 | 1.70E+09 |
| Std | 3.26E+03 | 5.89E+03 | 7.91E+05 | 2.03E+06 | 3.30E+09 | 1.13E+10 | 9.33E+07 | 1.44E+09 | 6.54E+08 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec03 | Mean | 2.27E+04 | 3.46E+04 | 1.13E+04 | 1.47E+04 | 1.19E+05 | 2.70E+05 | 4.07E+05 | 5.63E+04 | 2.62E+05 |
| Std | 5.41E+03 | 4.81E+04 | 1.83E+04 | 7.97E+03 | 8.17E+04 | 9.24E+04 | 1.57E+05 | 1.28E+04 | 6.44E+04 | |
| Rank | 3 | 4 | 1 | 2 | 6 | 8 | 9 | 5 | 7 | |
| cec04 | Mean | 4.86E+02 | 4.90E+02 | 4.97E+02 | 5.03E+02 | 9.78E+02 | 7.43E+03 | 5.58E+02 | 6.13E+02 | 8.62E+02 |
| Std | 3.51E+01 | 2.88E+01 | 9.16E+00 | 1.13E+01 | 5.43E+02 | 3.12E+03 | 5.69E+01 | 5.81E+01 | 1.71E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec05 | Mean | 6.23E+02 | 5.44E+02 | 5.21E+02 | 6.61E+02 | 7.47E+02 | 8.49E+02 | 7.61E+02 | 6.32E+02 | 8.20E+02 |
| Std | 2.96E+01 | 8.10E+00 | 6.38E-02 | 1.69E+01 | 4.03E+01 | 5.21E+01 | 1.28E+01 | 4.37E+01 | 5.43E+01 | |
| Rank | 3 | 2 | 1 | 5 | 6 | 9 | 7 | 4 | 8 | |
| cec06 | Mean | 6.00E+02 | 6.01E+02 | 6.02E+02 | 6.03E+02 | 6.47E+02 | 6.70E+02 | 6.14E+02 | 6.11E+02 | 6.81E+02 |
| Std | 1.39E-01 | 6.00E-01 | 4.85E-01 | 6.37E-01 | 1.22E+01 | 1.83E+01 | 4.80E+00 | 3.47E+00 | 1.13E+01 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 8 | 6 | 5 | 9 | |
| cec07 | Mean | 8.78E+02 | 7.97E+02 | 9.24E+02 | 9.07E+02 | 1.07E+03 | 1.66E+03 | 1.00E+03 | 8.97E+02 | 1.29E+03 |
| Std | 3.93E+01 | 1.90E+01 | 1.14E+01 | 1.91E+01 | 5.13E+01 | 2.23E+02 | 1.45E+01 | 5.77E+01 | 6.68E+01 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 6 | 3 | 8 | |
| cec08 | Mean | 8.98E+02 | 8.48E+02 | 9.74E+02 | 9.60E+02 | 9.97E+02 | 1.09E+03 | 1.06E+03 | 9.05E+02 | 1.04E+03 |
| Std | 1.23E+01 | 9.42E+00 | 1.40E+01 | 1.45E+01 | 3.70E+01 | 4.29E+01 | 1.21E+01 | 2.16E+01 | 5.14E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec09 | Mean | 3.12E+03 | 1.12E+03 | 9.12E+02 | 9.28E+02 | 4.74E+03 | 1.07E+04 | 6.15E+03 | 2.48E+03 | 1.07E+04 |
| Std | 1.25E+03 | 1.36E+02 | 6.25E+00 | 1.67E+01 | 1.52E+03 | 2.47E+03 | 1.12E+03 | 1.03E+03 | 4.42E+03 | |
| Rank | 5 | 3 | 1 | 2 | 6 | 9 | 7 | 4 | 8 | |
| cec10 | Mean | 3.55E+03 | 3.75E+03 | 7.60E+03 | 7.20E+03 | 6.68E+03 | 6.54E+03 | 9.34E+03 | 4.60E+03 | 6.75E+03 |
| Std | 3.01E+02 | 3.95E+02 | 6.19E+02 | 7.08E+02 | 6.32E+02 | 5.51E+02 | 2.70E+02 | 1.05E+03 | 7.76E+02 | |
| Rank | 1 | 2 | 8 | 7 | 5 | 4 | 9 | 3 | 6 | |
| cec11 | Mean | 1.19E+03 | 1.25E+03 | 1.26E+03 | 1.26E+03 | 2.04E+03 | 1.84E+04 | 1.49E+04 | 1.91E+03 | 6.80E+03 |
| Std | 3.08E+01 | 5.01E+01 | 3.14E+01 | 2.53E+01 | 7.67E+02 | 8.79E+03 | 3.40E+03 | 8.35E+02 | 3.05E+03 | |
| Rank | 1 | 2 | 4 | 3 | 6 | 9 | 8 | 5 | 7 | |
| cec12 | Mean | 6.78E+05 | 8.75E+04 | 1.20E+03 | 8.13E+05 | 6.88E+08 | 4.34E+09 | 7.35E+08 | 9.70E+07 | 2.40E+08 |
| Std | 3.61E+05 | 6.51E+04 | 7.52E-01 | 5.58E+05 | 1.59E+09 | 2.17E+09 | 2.44E+08 | 8.87E+07 | 1.58E+08 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 8 | 5 | 6 | |
| cec13 | Mean | 5.93E+03 | 1.02E+04 | 1.31E+03 | 3.58E+04 | 1.05E+08 | 5.69E+09 | 2.73E+05 | 8.14E+06 | 2.07E+06 |
| Std | 5.46E+03 | 1.14E+04 | 6.71E-01 | 8.84E+03 | 3.99E+08 | 5.43E+09 | 2.55E+05 | 2.50E+07 | 3.34E+06 | |
| Rank | 2 | 3 | 1 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec14 | Mean | 1.17E+04 | 1.56E+03 | 1.53E+03 | 1.60E+03 | 3.95E+05 | 1.02E+07 | 4.95E+05 | 3.53E+05 | 2.46E+06 |
| Std | 8.61E+03 | 5.82E+01 | 1.65E+01 | 4.29E+01 | 8.38E+05 | 8.81E+06 | 2.01E+05 | 5.35E+05 | 3.15E+06 | |
| Rank | 4 | 2 | 1 | 3 | 6 | 9 | 7 | 5 | 8 | |
| cec15 | Mean | 3.64E+03 | 1.90E+03 | 5.20E+03 | 8.11E+03 | 3.31E+04 | 1.20E+09 | 1.43E+06 | 6.10E+05 | 2.63E+06 |
| Std | 2.74E+03 | 2.25E+02 | 1.63E+03 | 4.39E+03 | 3.43E+04 | 2.02E+09 | 1.22E+06 | 8.15E+05 | 7.41E+06 | |
| Rank | 2 | 1 | 3 | 4 | 5 | 9 | 7 | 6 | 8 | |
| cec16 | Mean | 2.32E+03 | 2.35E+03 | 1.61E+03 | 3.02E+03 | 3.53E+03 | 3.92E+03 | 3.99E+03 | 2.58E+03 | 4.05E+03 |
| Std | 1.84E+02 | 2.16E+02 | 1.55E-01 | 1.92E+02 | 5.44E+02 | 4.59E+02 | 2.30E+02 | 2.93E+02 | 5.46E+02 | |
| Rank | 2 | 3 | 1 | 5 | 6 | 7 | 8 | 4 | 9 | |
| cec17 | Mean | 1.95E+03 | 1.90E+03 | 2.22E+03 | 2.13E+03 | 2.67E+03 | 3.39E+03 | 2.92E+03 | 2.05E+03 | 2.58E+03 |
| Std | 1.57E+02 | 1.13E+02 | 1.14E+02 | 1.20E+02 | 3.55E+02 | 1.22E+03 | 1.66E+02 | 1.56E+02 | 2.48E+02 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 8 | 3 | 6 | |
| cec18 | Mean | 3.57E+05 | 2.67E+04 | 1.13E+04 | 1.72E+04 | 1.29E+07 | 3.54E+07 | 1.83E+07 | 9.82E+05 | 8.69E+06 |
| Std | 3.14E+05 | 1.84E+04 | 7.24E+03 | 7.89E+03 | 2.50E+07 | 4.21E+07 | 7.07E+06 | 1.13E+06 | 8.17E+06 | |
| Rank | 4 | 3 | 1 | 2 | 7 | 9 | 8 | 5 | 6 | |
| cec19 | Mean | 2.94E+03 | 2.07E+03 | 2.38E+03 | 3.77E+03 | 4.30E+06 | 6.45E+08 | 1.84E+04 | 1.91E+06 | 1.13E+07 |
| Std | 1.23E+03 | 8.55E+01 | 2.79E+02 | 1.97E+03 | 1.72E+07 | 6.92E+08 | 4.25E+04 | 2.64E+06 | 1.51E+07 | |
| Rank | 3 | 1 | 2 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec20 | Mean | 2.26E+03 | 2.28E+03 | 2.66E+03 | 2.64E+03 | 2.76E+03 | 3.11E+03 | 3.08E+03 | 2.48E+03 | 2.84E+03 |
| Std | 8.68E+01 | 1.19E+02 | 1.19E+02 | 1.05E+02 | 2.38E+02 | 2.85E+02 | 1.15E+02 | 2.29E+02 | 1.96E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec21 | Mean | 2.38E+03 | 2.35E+03 | 2.47E+03 | 2.46E+03 | 2.52E+03 | 2.63E+03 | 2.56E+03 | 2.41E+03 | 2.62E+03 |
| Std | 4.58E+01 | 8.13E+00 | 1.36E+01 | 1.50E+01 | 4.48E+01 | 7.92E+01 | 1.34E+01 | 4.25E+01 | 6.09E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec22 | Mean | 2.30E+03 | 2.68E+03 | 2.32E+03 | 2.32E+03 | 7.55E+03 | 8.26E+03 | 1.05E+04 | 5.38E+03 | 6.56E+03 |
| Std | 1.65E+00 | 1.00E+03 | 2.49E+00 | 4.32E+00 | 2.46E+03 | 1.09E+03 | 3.41E+02 | 2.45E+03 | 2.63E+03 | |
| Rank | 1 | 4 | 2 | 3 | 7 | 8 | 9 | 5 | 6 | |
| cec23 | Mean | 2.73E+03 | 2.70E+03 | 2.82E+03 | 2.81E+03 | 3.33E+03 | 3.25E+03 | 2.92E+03 | 2.79E+03 | 3.10E+03 |
| Std | 1.71E+01 | 1.33E+01 | 1.41E+01 | 1.93E+01 | 1.90E+02 | 1.17E+02 | 1.58E+01 | 4.65E+01 | 6.84E+01 | |
| Rank | 2 | 1 | 5 | 4 | 9 | 8 | 6 | 3 | 7 | |
| cec24 | Mean | 2.91E+03 | 2.87E+03 | 2.80E+03 | 2.97E+03 | 3.59E+03 | 3.57E+03 | 3.11E+03 | 2.96E+03 | 3.23E+03 |
| Std | 2.27E+01 | 1.57E+01 | 3.58E+01 | 8.71E+00 | 2.37E+02 | 1.44E+02 | 1.33E+01 | 6.32E+01 | 8.84E+01 | |
| Rank | 3 | 2 | 1 | 5 | 9 | 8 | 6 | 4 | 7 | |
| cec25 | Mean | 2.89E+03 | 2.89E+03 | 2.87E+03 | 2.89E+03 | 3.10E+03 | 5.32E+03 | 2.96E+03 | 2.98E+03 | 3.11E+03 |
| Std | 7.48E+00 | 7.07E+00 | 2.57E+01 | 6.44E+00 | 8.57E+01 | 1.19E+03 | 3.14E+01 | 3.49E+01 | 5.40E+01 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec26 | Mean | 3.91E+03 | 4.20E+03 | 2.71E+03 | 5.17E+03 | 6.80E+03 | 8.75E+03 | 5.91E+03 | 4.87E+03 | 7.99E+03 |
| Std | 1.03E+03 | 1.62E+02 | 6.81E-01 | 1.47E+02 | 1.61E+03 | 1.00E+03 | 1.92E+02 | 3.06E+02 | 1.04E+03 | |
| Rank | 2 | 3 | 1 | 5 | 7 | 9 | 6 | 4 | 8 | |
| cec27 | Mean | 3.20E+03 | 3.23E+03 | 3.22E+03 | 3.22E+03 | 3.61E+03 | 3.94E+03 | 3.20E+03 | 3.26E+03 | 3.45E+03 |
| Std | 7.56E-05 | 1.58E+01 | 5.52E+00 | 6.09E+00 | 1.79E+02 | 2.42E+02 | 6.88E-05 | 3.21E+01 | 1.15E+02 | |
| Rank | 2 | 5 | 4 | 3 | 8 | 9 | 1 | 6 | 7 | |
| cec28 | Mean | 3.24E+03 | 3.24E+03 | 3.24E+03 | 3.25E+03 | 3.75E+03 | 6.15E+03 | 3.30E+03 | 3.44E+03 | 3.55E+03 |
| Std | 1.63E+01 | 2.74E+01 | 1.71E+01 | 1.65E+01 | 4.31E+02 | 1.25E+03 | 1.27E-01 | 6.44E+01 | 1.04E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec29 | Mean | 3.57E+03 | 3.60E+03 | 3.95E+03 | 3.88E+03 | 4.81E+03 | 6.07E+03 | 5.01E+03 | 3.81E+03 | 5.36E+03 |
| Std | 1.16E+02 | 1.08E+02 | 1.24E+02 | 1.32E+02 | 5.53E+02 | 6.86E+02 | 2.58E+02 | 1.98E+02 | 3.94E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec30 | Mean | 8.81E+03 | 1.08E+04 | 3.33E+04 | 4.51E+04 | 1.81E+07 | 1.65E+08 | 7.11E+05 | 8.39E+06 | 4.06E+07 |
| Std | 1.98E+03 | 3.24E+03 | 1.64E+04 | 2.58E+04 | 4.94E+07 | 1.91E+08 | 5.88E+05 | 6.50E+06 | 3.86E+07 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 9 | 5 | 6 | 8 | |
| Mean rank | 2.10 | 2.17 | 2.90 | 3.90 | 6.83 | 8.59 | 6.59 | 4.66 | 7.28 | |
| Final ranking | 1 | 2 | 3 | 4 | 7 | 9 | 6 | 5 | 8 | |
| Function . | Index . | Algorithms . | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| HBWO-JS . | L-SHADE . | LSHADE-cnEpSin . | LSHADE-SPACMA . | PSO . | GA . | ABC . | GWO . | WOA . | ||
| cec01 | Mean | 5.02E+03 | 5.51E+03 | 1.44E+06 | 4.26E+06 | 4.15E+09 | 3.15E+10 | 7.68E+07 | 2.47E+09 | 1.70E+09 |
| Std | 3.26E+03 | 5.89E+03 | 7.91E+05 | 2.03E+06 | 3.30E+09 | 1.13E+10 | 9.33E+07 | 1.44E+09 | 6.54E+08 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec03 | Mean | 2.27E+04 | 3.46E+04 | 1.13E+04 | 1.47E+04 | 1.19E+05 | 2.70E+05 | 4.07E+05 | 5.63E+04 | 2.62E+05 |
| Std | 5.41E+03 | 4.81E+04 | 1.83E+04 | 7.97E+03 | 8.17E+04 | 9.24E+04 | 1.57E+05 | 1.28E+04 | 6.44E+04 | |
| Rank | 3 | 4 | 1 | 2 | 6 | 8 | 9 | 5 | 7 | |
| cec04 | Mean | 4.86E+02 | 4.90E+02 | 4.97E+02 | 5.03E+02 | 9.78E+02 | 7.43E+03 | 5.58E+02 | 6.13E+02 | 8.62E+02 |
| Std | 3.51E+01 | 2.88E+01 | 9.16E+00 | 1.13E+01 | 5.43E+02 | 3.12E+03 | 5.69E+01 | 5.81E+01 | 1.71E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec05 | Mean | 6.23E+02 | 5.44E+02 | 5.21E+02 | 6.61E+02 | 7.47E+02 | 8.49E+02 | 7.61E+02 | 6.32E+02 | 8.20E+02 |
| Std | 2.96E+01 | 8.10E+00 | 6.38E-02 | 1.69E+01 | 4.03E+01 | 5.21E+01 | 1.28E+01 | 4.37E+01 | 5.43E+01 | |
| Rank | 3 | 2 | 1 | 5 | 6 | 9 | 7 | 4 | 8 | |
| cec06 | Mean | 6.00E+02 | 6.01E+02 | 6.02E+02 | 6.03E+02 | 6.47E+02 | 6.70E+02 | 6.14E+02 | 6.11E+02 | 6.81E+02 |
| Std | 1.39E-01 | 6.00E-01 | 4.85E-01 | 6.37E-01 | 1.22E+01 | 1.83E+01 | 4.80E+00 | 3.47E+00 | 1.13E+01 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 8 | 6 | 5 | 9 | |
| cec07 | Mean | 8.78E+02 | 7.97E+02 | 9.24E+02 | 9.07E+02 | 1.07E+03 | 1.66E+03 | 1.00E+03 | 8.97E+02 | 1.29E+03 |
| Std | 3.93E+01 | 1.90E+01 | 1.14E+01 | 1.91E+01 | 5.13E+01 | 2.23E+02 | 1.45E+01 | 5.77E+01 | 6.68E+01 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 6 | 3 | 8 | |
| cec08 | Mean | 8.98E+02 | 8.48E+02 | 9.74E+02 | 9.60E+02 | 9.97E+02 | 1.09E+03 | 1.06E+03 | 9.05E+02 | 1.04E+03 |
| Std | 1.23E+01 | 9.42E+00 | 1.40E+01 | 1.45E+01 | 3.70E+01 | 4.29E+01 | 1.21E+01 | 2.16E+01 | 5.14E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec09 | Mean | 3.12E+03 | 1.12E+03 | 9.12E+02 | 9.28E+02 | 4.74E+03 | 1.07E+04 | 6.15E+03 | 2.48E+03 | 1.07E+04 |
| Std | 1.25E+03 | 1.36E+02 | 6.25E+00 | 1.67E+01 | 1.52E+03 | 2.47E+03 | 1.12E+03 | 1.03E+03 | 4.42E+03 | |
| Rank | 5 | 3 | 1 | 2 | 6 | 9 | 7 | 4 | 8 | |
| cec10 | Mean | 3.55E+03 | 3.75E+03 | 7.60E+03 | 7.20E+03 | 6.68E+03 | 6.54E+03 | 9.34E+03 | 4.60E+03 | 6.75E+03 |
| Std | 3.01E+02 | 3.95E+02 | 6.19E+02 | 7.08E+02 | 6.32E+02 | 5.51E+02 | 2.70E+02 | 1.05E+03 | 7.76E+02 | |
| Rank | 1 | 2 | 8 | 7 | 5 | 4 | 9 | 3 | 6 | |
| cec11 | Mean | 1.19E+03 | 1.25E+03 | 1.26E+03 | 1.26E+03 | 2.04E+03 | 1.84E+04 | 1.49E+04 | 1.91E+03 | 6.80E+03 |
| Std | 3.08E+01 | 5.01E+01 | 3.14E+01 | 2.53E+01 | 7.67E+02 | 8.79E+03 | 3.40E+03 | 8.35E+02 | 3.05E+03 | |
| Rank | 1 | 2 | 4 | 3 | 6 | 9 | 8 | 5 | 7 | |
| cec12 | Mean | 6.78E+05 | 8.75E+04 | 1.20E+03 | 8.13E+05 | 6.88E+08 | 4.34E+09 | 7.35E+08 | 9.70E+07 | 2.40E+08 |
| Std | 3.61E+05 | 6.51E+04 | 7.52E-01 | 5.58E+05 | 1.59E+09 | 2.17E+09 | 2.44E+08 | 8.87E+07 | 1.58E+08 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 8 | 5 | 6 | |
| cec13 | Mean | 5.93E+03 | 1.02E+04 | 1.31E+03 | 3.58E+04 | 1.05E+08 | 5.69E+09 | 2.73E+05 | 8.14E+06 | 2.07E+06 |
| Std | 5.46E+03 | 1.14E+04 | 6.71E-01 | 8.84E+03 | 3.99E+08 | 5.43E+09 | 2.55E+05 | 2.50E+07 | 3.34E+06 | |
| Rank | 2 | 3 | 1 | 4 | 8 | 9 | 5 | 7 | 6 | |
| cec14 | Mean | 1.17E+04 | 1.56E+03 | 1.53E+03 | 1.60E+03 | 3.95E+05 | 1.02E+07 | 4.95E+05 | 3.53E+05 | 2.46E+06 |
| Std | 8.61E+03 | 5.82E+01 | 1.65E+01 | 4.29E+01 | 8.38E+05 | 8.81E+06 | 2.01E+05 | 5.35E+05 | 3.15E+06 | |
| Rank | 4 | 2 | 1 | 3 | 6 | 9 | 7 | 5 | 8 | |
| cec15 | Mean | 3.64E+03 | 1.90E+03 | 5.20E+03 | 8.11E+03 | 3.31E+04 | 1.20E+09 | 1.43E+06 | 6.10E+05 | 2.63E+06 |
| Std | 2.74E+03 | 2.25E+02 | 1.63E+03 | 4.39E+03 | 3.43E+04 | 2.02E+09 | 1.22E+06 | 8.15E+05 | 7.41E+06 | |
| Rank | 2 | 1 | 3 | 4 | 5 | 9 | 7 | 6 | 8 | |
| cec16 | Mean | 2.32E+03 | 2.35E+03 | 1.61E+03 | 3.02E+03 | 3.53E+03 | 3.92E+03 | 3.99E+03 | 2.58E+03 | 4.05E+03 |
| Std | 1.84E+02 | 2.16E+02 | 1.55E-01 | 1.92E+02 | 5.44E+02 | 4.59E+02 | 2.30E+02 | 2.93E+02 | 5.46E+02 | |
| Rank | 2 | 3 | 1 | 5 | 6 | 7 | 8 | 4 | 9 | |
| cec17 | Mean | 1.95E+03 | 1.90E+03 | 2.22E+03 | 2.13E+03 | 2.67E+03 | 3.39E+03 | 2.92E+03 | 2.05E+03 | 2.58E+03 |
| Std | 1.57E+02 | 1.13E+02 | 1.14E+02 | 1.20E+02 | 3.55E+02 | 1.22E+03 | 1.66E+02 | 1.56E+02 | 2.48E+02 | |
| Rank | 2 | 1 | 5 | 4 | 7 | 9 | 8 | 3 | 6 | |
| cec18 | Mean | 3.57E+05 | 2.67E+04 | 1.13E+04 | 1.72E+04 | 1.29E+07 | 3.54E+07 | 1.83E+07 | 9.82E+05 | 8.69E+06 |
| Std | 3.14E+05 | 1.84E+04 | 7.24E+03 | 7.89E+03 | 2.50E+07 | 4.21E+07 | 7.07E+06 | 1.13E+06 | 8.17E+06 | |
| Rank | 4 | 3 | 1 | 2 | 7 | 9 | 8 | 5 | 6 | |
| cec19 | Mean | 2.94E+03 | 2.07E+03 | 2.38E+03 | 3.77E+03 | 4.30E+06 | 6.45E+08 | 1.84E+04 | 1.91E+06 | 1.13E+07 |
| Std | 1.23E+03 | 8.55E+01 | 2.79E+02 | 1.97E+03 | 1.72E+07 | 6.92E+08 | 4.25E+04 | 2.64E+06 | 1.51E+07 | |
| Rank | 3 | 1 | 2 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec20 | Mean | 2.26E+03 | 2.28E+03 | 2.66E+03 | 2.64E+03 | 2.76E+03 | 3.11E+03 | 3.08E+03 | 2.48E+03 | 2.84E+03 |
| Std | 8.68E+01 | 1.19E+02 | 1.19E+02 | 1.05E+02 | 2.38E+02 | 2.85E+02 | 1.15E+02 | 2.29E+02 | 1.96E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 8 | 3 | 7 | |
| cec21 | Mean | 2.38E+03 | 2.35E+03 | 2.47E+03 | 2.46E+03 | 2.52E+03 | 2.63E+03 | 2.56E+03 | 2.41E+03 | 2.62E+03 |
| Std | 4.58E+01 | 8.13E+00 | 1.36E+01 | 1.50E+01 | 4.48E+01 | 7.92E+01 | 1.34E+01 | 4.25E+01 | 6.09E+01 | |
| Rank | 2 | 1 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec22 | Mean | 2.30E+03 | 2.68E+03 | 2.32E+03 | 2.32E+03 | 7.55E+03 | 8.26E+03 | 1.05E+04 | 5.38E+03 | 6.56E+03 |
| Std | 1.65E+00 | 1.00E+03 | 2.49E+00 | 4.32E+00 | 2.46E+03 | 1.09E+03 | 3.41E+02 | 2.45E+03 | 2.63E+03 | |
| Rank | 1 | 4 | 2 | 3 | 7 | 8 | 9 | 5 | 6 | |
| cec23 | Mean | 2.73E+03 | 2.70E+03 | 2.82E+03 | 2.81E+03 | 3.33E+03 | 3.25E+03 | 2.92E+03 | 2.79E+03 | 3.10E+03 |
| Std | 1.71E+01 | 1.33E+01 | 1.41E+01 | 1.93E+01 | 1.90E+02 | 1.17E+02 | 1.58E+01 | 4.65E+01 | 6.84E+01 | |
| Rank | 2 | 1 | 5 | 4 | 9 | 8 | 6 | 3 | 7 | |
| cec24 | Mean | 2.91E+03 | 2.87E+03 | 2.80E+03 | 2.97E+03 | 3.59E+03 | 3.57E+03 | 3.11E+03 | 2.96E+03 | 3.23E+03 |
| Std | 2.27E+01 | 1.57E+01 | 3.58E+01 | 8.71E+00 | 2.37E+02 | 1.44E+02 | 1.33E+01 | 6.32E+01 | 8.84E+01 | |
| Rank | 3 | 2 | 1 | 5 | 9 | 8 | 6 | 4 | 7 | |
| cec25 | Mean | 2.89E+03 | 2.89E+03 | 2.87E+03 | 2.89E+03 | 3.10E+03 | 5.32E+03 | 2.96E+03 | 2.98E+03 | 3.11E+03 |
| Std | 7.48E+00 | 7.07E+00 | 2.57E+01 | 6.44E+00 | 8.57E+01 | 1.19E+03 | 3.14E+01 | 3.49E+01 | 5.40E+01 | |
| Rank | 3 | 2 | 1 | 4 | 7 | 9 | 5 | 6 | 8 | |
| cec26 | Mean | 3.91E+03 | 4.20E+03 | 2.71E+03 | 5.17E+03 | 6.80E+03 | 8.75E+03 | 5.91E+03 | 4.87E+03 | 7.99E+03 |
| Std | 1.03E+03 | 1.62E+02 | 6.81E-01 | 1.47E+02 | 1.61E+03 | 1.00E+03 | 1.92E+02 | 3.06E+02 | 1.04E+03 | |
| Rank | 2 | 3 | 1 | 5 | 7 | 9 | 6 | 4 | 8 | |
| cec27 | Mean | 3.20E+03 | 3.23E+03 | 3.22E+03 | 3.22E+03 | 3.61E+03 | 3.94E+03 | 3.20E+03 | 3.26E+03 | 3.45E+03 |
| Std | 7.56E-05 | 1.58E+01 | 5.52E+00 | 6.09E+00 | 1.79E+02 | 2.42E+02 | 6.88E-05 | 3.21E+01 | 1.15E+02 | |
| Rank | 2 | 5 | 4 | 3 | 8 | 9 | 1 | 6 | 7 | |
| cec28 | Mean | 3.24E+03 | 3.24E+03 | 3.24E+03 | 3.25E+03 | 3.75E+03 | 6.15E+03 | 3.30E+03 | 3.44E+03 | 3.55E+03 |
| Std | 1.63E+01 | 2.74E+01 | 1.71E+01 | 1.65E+01 | 4.31E+02 | 1.25E+03 | 1.27E-01 | 6.44E+01 | 1.04E+02 | |
| Rank | 1 | 2 | 3 | 4 | 8 | 9 | 5 | 6 | 7 | |
| cec29 | Mean | 3.57E+03 | 3.60E+03 | 3.95E+03 | 3.88E+03 | 4.81E+03 | 6.07E+03 | 5.01E+03 | 3.81E+03 | 5.36E+03 |
| Std | 1.16E+02 | 1.08E+02 | 1.24E+02 | 1.32E+02 | 5.53E+02 | 6.86E+02 | 2.58E+02 | 1.98E+02 | 3.94E+02 | |
| Rank | 1 | 2 | 5 | 4 | 6 | 9 | 7 | 3 | 8 | |
| cec30 | Mean | 8.81E+03 | 1.08E+04 | 3.33E+04 | 4.51E+04 | 1.81E+07 | 1.65E+08 | 7.11E+05 | 8.39E+06 | 4.06E+07 |
| Std | 1.98E+03 | 3.24E+03 | 1.64E+04 | 2.58E+04 | 4.94E+07 | 1.91E+08 | 5.88E+05 | 6.50E+06 | 3.86E+07 | |
| Rank | 1 | 2 | 3 | 4 | 7 | 9 | 5 | 6 | 8 | |
| Mean rank | 2.10 | 2.17 | 2.90 | 3.90 | 6.83 | 8.59 | 6.59 | 4.66 | 7.28 | |
| Final ranking | 1 | 2 | 3 | 4 | 7 | 9 | 6 | 5 | 8 | |
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