Table 4. Experimental Results, ME of BBPSO, PBBPSO, DLS-BBPSO and TBBPSO for f16–f30.
Mean is the mean value from 31 independent runs, STD is the standard deviation of the 31 runs, Rank is the rank of 4 algorithms. Average rank point is at the bottom of the table.
| Function Number | Data Tpye | BBPSO [17] | PBBPSO [34] | DLS-BBPSO [35] | TBBPSO |
|---|---|---|---|---|---|
| f 16 | Mean | 2.074E+01 | 2.179E+01 | 2.128E+01 | 2.139E+01 |
| STD | 8.171E-01 | 1.069E+00 | 1.237E+00 | 7.566E-01 | |
| Rank | 1 | 4 | 2 | 3 | |
| f 17 | Mean | 1.119E+06 | 1.058E+06 | 1.128E+06 | 9.136E+05 |
| STD | 7.997E+05 | 6.223E+05 | 9.273E+05 | 5.381E+05 | |
| Rank | 3 | 2 | 4 | 1 | |
| f 18 | Mean | 6.771E+03 | 7.806E+03 | 7.029E+03 | 7.999E+03 |
| STD | 6.571E+03 | 1.152E+04 | 6.943E+03 | 1.145E+04 | |
| Rank | 1 | 3 | 2 | 4 | |
| f 19 | Mean | 3.596E+01 | 4.385E+01 | 3.401E+01 | 3.584E+01 |
| STD | 1.420E+01 | 2.421E+01 | 1.096E+01 | 1.485E+01 | |
| Rank | 3 | 4 | 1 | 2 | |
| f 20 | Mean | 7.135E+03 | 1.926E+04 | 1.790E+03 | 1.023E+04 |
| STD | 6.152E+03 | 1.586E+04 | 1.514E+04 | 9.197E+03 | |
| Rank | 1 | 4 | 3 | 2 | |
| f 21 | Mean | 4.630E+05 | 5.050E+05 | 5.290E+05 | 4.027E+05 |
| STD | 2.721E+05 | 4.460E+05 | 3.772E+05 | 2.398E+05 | |
| Rank | 2 | 3 | 4 | 1 | |
| f 22 | Mean | 1.192E+03 | 1.462E+03 | 1.134E+03 | 1.091E+03 |
| STD | 3.898E+02 | 3.851E+02 | 3.643E+02 | 2.788E+02 | |
| Rank | 3 | 4 | 2 | 1 | |
| f 23 | Mean | 3.370E+02 | 3.370E+02 | 3.370E+02 | 3.370E+02 |
| STD | 0.000 | 0.000 | 0.000 | 0.000 | |
| Rank | 1 | 1 | 1 | 1 | |
| f 24 | Mean | 2.633E+02 | 2.616E+02 | 2.631E+02 | 2.647E+02 |
| STD | 8.509E+00 | 1.178E+00 | 8.474E+00 | 0.522E+00 | |
| Rank | 3 | 1 | 2 | 4 | |
| f 25 | Mean | 2.009E+02 | 2.009E+02 | 2.009E+02 | 2.008E+02 |
| STD | 0.303E+00 | 0.275E+00 | 0.305E+00 | 0.273E+00 | |
| Rank | 4 | 2 | 3 | 1 | |
| f 26 | Mean | 1.005E+02 | 1.006E+02 | 1.005E+02 | 1.005E+02 |
| STD | 0.101E+00 | 0.071E+00 | 0.081E+00 | 0.107E+00 | |
| Rank | 1 | 4 | 3 | 2 | |
| f 27 | Mean | 1.269E+03 | 1.892E+03 | 1.407E+03 | 1.435E+03 |
| STD | 1.169E+02 | 3.309E+02 | 2.380E+02 | 2.206E+02 | |
| Rank | 1 | 4 | 2 | 3 | |
| f 28 | Mean | 3.934E+02 | 3.934E+02 | 3.867E+02 | 3.889E+02 |
| STD | 1.541E+01 | 1.579E+01 | 1.342E+01 | 1.455E+02 | |
| Rank | 3 | 4 | 1 | 2 | |
| f 29 | Mean | 2.246E+02 | 2.295E+02 | 2.267E+02 | 2.253E+02 |
| STD | 2.083E+01 | 2.708E+01 | 1.576E+01 | 2.032E+01 | |
| Rank | 1 | 4 | 3 | 2 | |
| f 30 | Mean | 1.320E+03 | 1.275E+03 | 1.203E+03 | 1.246E+03 |
| STD | 2.824E+02 | 3.359E+02 | 2.455E+02 | 3.227E+02 | |
| Rank | 4 | 3 | 1 | 2 | |
| Average Rank | 2.400 | 3.100 | 2.400 | 1.900 |