Table 9.
Comparison of COGBSO with BSO variants for CEC 2018 test functions with D = 30.
| BFs | BSO | GBSO | ADMBSO | GDBSO | COGBSO | |
|---|---|---|---|---|---|---|
| F1 | Mean | 1.18E+08 | 3.10E+03 | 3.10E+03 | 1.41E+03 | 3.63E+03 |
| Std | 1.97E+08 | 2.52E+03 | 2.52E+03 | 1.76E+03 | 4.25E+03 | |
| F3 | Mean | 8.92E+04 | 7.28E+04 | 3.94E+04 | 7.98E+04 | 3.32E+02 |
| Std | 2.41E+04 | 1.88E+04 | 8.52E+03 | 1.25E+04 | 6.19E+01 | |
| F4 | Mean | 5.88E+02 | 4.98E+02 | 4.98E+02 | 4.90E+02 | 5.06E+02 |
| Std | 5.67E+01 | 1.37E+01 | 1.32E+01 | 1.79E+01 | 1.17E+01 | |
| F5 | Mean | 6.82E+02 | 7.05E+02 | 5.60E+02 | 7.03E+02 | 5.48E+02 |
| Std | 3.06E+01 | 1.62E+01 | 2.43E+01 | 1.71E+01 | 1.72E+01 | |
| F6 | Mean | 6.53E+02 | 6.00E+02 | 6.00E+02 | 6.01E+02 | 6.00E+02 |
| Std | 7.45E+00 | 1.47E−01 | 4.37E−02 | 3.04E−01 | 5.47E−02 | |
| F7 | Mean | 1.12E+03 | 9.42E+02 | 7.95E+02 | 9.45E+02 | 8.13E+02 |
| Std | 5.79E+01 | 1.18E+01 | 1.70E+01 | 1.38E+01 | 6.60E+01 | |
| F8 | Mean | 9.34E+02 | 1.00E+03 | 8.62E+02 | 1.01E+03 | 8.39E+02 |
| Std | 2.53E+01 | 1.72E+01 | 1.82E+01 | 1.14E+01 | 9.46E+00 | |
| F9 | Mean | 3.73E+03 | 9.02E+02 | 9.00E+02 | 9.29E+02 | 9.04E+02 |
| Std | 5.33E+02 | 2.10E+00 | 7.51E−01 | 7.64E+01 | 5.83E+00 | |
| F10 | Mean | 4.91E+03 | 8.55E+03 | 5.09E+03 | 8.59E+03 | 8.07E+03 |
| Std | 5.22E+02 | 4.17E+02 | 4.20E+02 | 2.52E+02 | 2.93E+02 | |
| F11 | Mean | 1.38E+03 | 1.23E+03 | 1.17E+03 | 1.24E+03 | 1.17E+03 |
| Std | 1.61E+02 | 3.39E+01 | 3.48E+01 | 2.68E+01 | 2.53E+01 | |
| F12 | Mean | 1.92E+07 | 1.08E+05 | 9.14E+04 | 8.91E+04 | 3.87E+04 |
| Std | 1.89E+07 | 8.19E+04 | 7.16E+04 | 4.40E+04 | 1.84E+04 | |
| F13 | Mean | 3.79E+04 | 1.65E+04 | 1.53E+04 | 1.17E+04 | 1.04E+04 |
| Std | 9.42E+03 | 1.33E+04 | 1.19E+04 | 1.16E+04 | 1.65E+04 | |
| F14 | Mean | 1.81E+05 | 4.92E+04 | 1.34E+04 | 1.41E+04 | 2.41E+03 |
| Std | 2.16E+05 | 4.79E+04 | 2.17E+04 | 9.31E+03 | 9.15E+02 | |
| F15 | Mean | 3.17E+04 | 8.32E+03 | 5.10E+03 | 5.84E+03 | 4.92E+03 |
| Std | 1.83E+04 | 7.09E+03 | 2.48E+03 | 3.72E+03 | 3.25E+03 | |
| F16 | Mean | 3.18E+03 | 3.25E+03 | 2.76E+03 | 3.25E+03 | 2.14E+03 |
| Std | 2.55E+02 | 3.18E+02 | 3.02E+02 | 1.99E+02 | 1.63E+02 | |
| F17 | Mean | 2.36E+03 | 2.38E+03 | 2.05E+03 | 2.26E+03 | 1.85E+03 |
| Std | 3.51E+02 | 1.23E+02 | 1.60E+02 | 2.18E+02 | 7.56E+01 | |
| F18 | Mean | 4.01E+05 | 2.10E+06 | 2.10E+05 | 1.33E+06 | 7.93E+04 |
| Std | 3.11E+05 | 9.49E+05 | 1.34E+05 | 8.40E+05 | 2.39E+04 | |
| F19 | Mean | 6.96E+05 | 1.35E+04 | 9.53E+03 | 8.77E+03 | 4.09E+03 |
| Std | 4.15E+05 | 1.23E+04 | 7.62E+03 | 9.27E+03 | 2.08E+03 | |
| F20 | Mean | 2.70E+03 | 2.77E+03 | 2.43E+03 | 2.63E+03 | 2.16E+03 |
| Std | 2.39E+02 | 1.21E+02 | 1.24E+02 | 1.90E+02 | 6.30E+01 | |
| F21 | Mean | 2.51E+03 | 2.50E+03 | 2.36E+03 | 2.50E+03 | 2.34E+03 |
| Std | 3.03E+01 | 1.49E+01 | 1.86E+01 | 1.79E+01 | 1.32E+01 | |
| F22 | Mean | 6.72E+03 | 3.02E+03 | 2.86E+03 | 3.06E+03 | 2.30E+03 |
| Std | 1.17E+03 | 2.28E+03 | 1.76E+03 | 2.40E+03 | 7.77E−01 | |
| F23 | Mean | 3.36E+03 | 2.85E+03 | 2.72E+03 | 2.86E+03 | 2.69E+03 |
| Std | 1.93E+02 | 1.06E+01 | 2.79E+01 | 2.32E+01 | 2.01E+01 | |
| F24 | Mean | 3.54E+03 | 3.02E+03 | 2.89E+03 | 3.02E+03 | 2.87E+03 |
| Std | 1.52E+02 | 1.74E+01 | 1.46E+01 | 2.20E+01 | 6.06E+00 | |
| F25 | Mean | 2.96E+03 | 2.89E+03 | 2.89E+03 | 2.89E+03 | 2.89E+03 |
| Std | 2.65E+01 | 4.44E−01 | 1.70E−01 | 1.72E+00 | 1.60E+00 | |
| F26 | Mean | 8.25E+03 | 5.68E+03 | 4.50E+03 | 5.54E+03 | 4.14E+03 |
| Std | 8.40E+02 | 1.35E+02 | 3.00E+02 | 3.61E+02 | 1.57E+02 | |
| F27 | Mean | 3.95E+03 | 3.21E+03 | 3.21E+03 | 3.22E+03 | 3.22E+03 |
| Std | 2.00E+02 | 1.48E+01 | 1.51E+01 | 1.67E+01 | 1.17E+01 | |
| F28 | Mean | 3.45E+03 | 3.21E+03 | 3.20E+03 | 3.21E+03 | 3.21E+03 |
| Std | 7.32E+01 | 2.42E+01 | 3.95E+01 | 3.55E+01 | 2.21E+01 | |
| F29 | Mean | 4.45E+03 | 4.14E+03 | 4.12E+03 | 4.02E+03 | 3.53E+03 |
| Std | 2.33E+02 | 1.16E+02 | 3.01E+02 | 2.43E+02 | 1.17E+02 | |
| F30 | Mean | 3.32E+06 | 1.04E+04 | 1.25E+04 | 1.26E+04 | 6.88E+03 |
| Std | 3.57E+06 | 4.36E+03 | 8.70E+03 | 6.07E+03 | 1.03E+03 | |
Optimal mean values are in bold.