Table 5.
Comparison between BSO variants on 30-D problems.
| BFs | BSO | GBSO | ADMBSO | GDBSO | COGBSO | |
|---|---|---|---|---|---|---|
| F1 | Mean | 2.00E−64 | 7.02E−65 | 9.20E−63 | 3.02E−67 | 5.40E−78 |
| Std | 4.19E−65 | 1.70E−65 | 2.00E−62 | 4.00E−67 | 1.06E−77 | |
| Min | 1.28E−64 | 5.12E−65 | 1.84E−65 | 7.58E−69 | 5.03E−80 | |
| Max | 2.53E−64 | 1.00E−64 | 6.38E−62 | 9.09E−67 | 3.45E−77 | |
| F2 | Mean | 2.19E+05 | 8.69E−58 | 1.04E−54 | 1.25E−57 | 3.47E−79 |
| Std | 9.97E+04 | 1.86E−57 | 2.75E−54 | 2.30E−57 | 8.70E−79 | |
| Min | 9.60E+04 | 2.64E−60 | 2.20E−58 | 1.36E−60 | 7.15E−83 | |
| Max | 4.08E+05 | 7.13E−57 | 1.05E−53 | 8.74E−57 | 3.27E−78 | |
| F3 | Mean | 3.79E+02 | 1.15E−42 | 1.07E−41 | 4.17E−41 | 2.25E−67 |
| Std | 6.13E+02 | 2.75E−42 | 1.89E−41 | 1.02E−40 | 6.44E−67 | |
| Min | 3.37E−02 | 2.88E−47 | 5.12E−44 | 3.98E−45 | 8.86E−72 | |
| Max | 2.31E+03 | 9.03E−42 | 5.98E−41 | 3.94E−40 | 2.41E−66 | |
| F4 | Mean | 2.85E+02 | 3.47E−63 | 8.08E−63 | 5.04E−66 | 3.18E−77 |
| Std | 2.62E+02 | 2.84E−63 | 9.66E−63 | 5.82E−66 | 8.82E−77 | |
| Min | 3.86E+01 | 8.43E−64 | 1.72E−65 | 8.21E−68 | 8.31E−80 | |
| Max | 8.42E+02 | 1.13E−62 | 3.12E−62 | 1.85E−65 | 3.48E−76 | |
| F5 | Mean | 5.03E−03 | 1.58E−35 | 3.02E−46 | 2.41E−49 | 2.01E−58 |
| Std | 1.44E−03 | 5.79E−36 | 3.20E−46 | 6.49E−49 | 5.05E−58 | |
| Min | 3.23E−03 | 7.12E−36 | 8.79E−49 | 4.14E−53 | 8.26E−62 | |
| Max | 8.10E−03 | 2.38E−35 | 9.03E−46 | 2.50E−48 | 1.99E−57 | |
| F6 | Mean | 2.84E+01 | 1.78E+01 | 5.32E−01 | 8.95E−06 | 6.36E−06 |
| Std | 5.30E−01 | 1.75E+01 | 1.40E+00 | 1.20E−05 | 9.87E−06 | |
| Min | 2.77E+01 | 9.33E−07 | 5.49E−06 | 9.71E−07 | 5.41E−07 | |
| Max | 2.94E+01 | 3.92E+01 | 3.99E+00 | 4.52E−05 | 2.83E−05 | |
| F7 | Mean | 1.28E−14 | 3.82E−15 | 5.71E−15 | 5.48E−15 | 3.35E−15 |
| Std | 3.41E−15 | 1.47E−15 | 1.63E−15 | 1.73E−15 | 9.17E−16 | |
| Min | 6.66E−15 | 3.11E−15 | 3.11E−15 | 3.11E−15 | 3.11E−15 | |
| Max | 2.09E−14 | 6.66E−15 | 6.66E−15 | 6.66E−15 | 6.66E−15 | |
| F8 | Mean | 3.23E−01 | 4.66E−16 | 4.48E−16 | 3.77E−16 | 1.11E−16 |
| Std | 3.07E−01 | 6.81E−16 | 4.32E−16 | 6.07E−16 | 2.33E−16 | |
| Min | 3.45E−02 | 1.01E−33 | 1.74E−29 | 1.21E−25 | 4.77E−43 | |
| Max | 1.02E+00 | 2.04E−15 | 1.22E−15 | 2.11E−15 | 6.11E−16 | |
| F9 | Mean | 8.55E−03 | 6.18E−03 | 4.44E−03 | 4.60E−03 | 8.21E−04 |
| Std | 9.15E−03 | 6.90E−03 | 4.49E−03 | 6.83E−03 | 3.18E−03 | |
| Min | 5.76E−07 | 0.00E+00 | 0.00E+00 | 0.00E+00 | 0.00E+00 | |
| Max | 3.20E−02 | 2.22E−02 | 1.23E−02 | 2.22E−02 | 1.23E−02 | |
| F10 | Mean | 3.67E+01 | 3.47E+01 | 3.04E+01 | 4.14E+01 | 1.70E+01 |
| Std | 6.46E+00 | 8.90E+00 | 8.23E+00 | 4.22E+01 | 5.51E+00 | |
| Min | 2.79E+01 | 1.92E+01 | 1.79E+01 | 1.49E+01 | 9.95E+00 | |
| Max | 4.78E+01 | 4.95E+01 | 4.18E+01 | 1.45E+02 | 2.79E+01 | |
| F11 | Mean | 3.79E+02 | 6.11E−25 | 5.57E−23 | 1.40E−23 | 7.95E−40 |
| Std | 9.30E+01 | 2.35E−24 | 1.92E−22 | 5.36E−23 | 3.08E−39 | |
| Min | 2.31E+02 | 3.04E−30 | 4.79E−26 | 5.69E−28 | 2.69E−47 | |
| Max | 5.90E+02 | 9.09E−24 | 7.48E−22 | 2.08E−22 | 1.19E−38 | |
| F12 | Mean | 4.67E−02 | 2.13E−17 | 1.05E−13 | 1.07E−16 | 4.67E−15 |
| Std | 1.50E−02 | 2.91E−17 | 1.22E−13 | 1.49E−16 | 2.74E−15 | |
| Min | 2.15E−02 | 5.50E−18 | 8.10E−15 | 2.23E−17 | 7.76E−16 | |
| Max | 7.43E−02 | 1.09E−16 | 4.70E−13 | 5.21E−16 | 1.08E−14 | |
| F13 | Mean | 3.64E−20 | 3.18E−245 | 1.36E−216 | 1.94E−235 | 2.33E−203 |
| Std | 8.13E−20 | 0.00E+00 | 0.00E+00 | 0.00E+00 | 0.00E+00 | |
| Min | 1.55E−26 | 3.50E−263 | 7.11E−225 | 2.25E−252 | 1.43E−218 | |
| Max | 2.83E−19 | 3.05E−244 | 1.11E−215 | 2.86E−234 | 2.66E−202 | |
| F14 | Mean | 2.83E−02 | 2.23E−31 | 4.05E−29 | 3.65E−30 | 1.83E−42 |
| Std | 3.24E−02 | 2.16E−31 | 5.95E−29 | 5.15E−30 | 4.60E−42 | |
| Min | 2.38E−04 | 6.45E−32 | 1.34E−30 | 2.00E−31 | 8.36E−45 | |
| Max | 1.07E−01 | 6.74E−31 | 2.09E−28 | 1.85E−29 | 1.82E−41 | |
| F15 | Mean | 1.72E−01 | 0.00E+00 | 7.48E−32 | 0.00E+00 | 1.54E−29 |
| Std | 7.65E−02 | 0.00E+00 | 1.62E−31 | 0.00E+00 | 1.76E−29 | |
| Min | 5.32E−02 | 0.00E+00 | 0.00E+00 | 0.00E+00 | 1.43E−30 | |
| Max | 2.88E−01 | 0.00E+00 | 4.93E−31 | 0.00E+00 | 6.54E−29 | |
Optimal mean values are in bold.