Table 2.
Mean and standard deviation global best fitness value results of ACLPSO with different values for the normative interval scaling coefficient s and the learning probability-based coefficient v on all the benchmark functions.
| Function | Global best fitness value | ACLPSO | |||
|---|---|---|---|---|---|
| I: s = 1.1; v = 0.05 | II: s = 1.1; v = 0.3 | III: s = 0.1; v = 0.05 | IV: s = 0.1; v = 0.3 | ||
| f 1 | Mean | 1.23E − 10 | 3.37E − 105 | 2.87E − 12 | 3.28E − 115 |
| SD | 6.08E − 10 | 9.36E − 105 | 8.18E − 12 | 6.11E − 115 | |
|
| |||||
| f 2 | Mean | 1.48E − 17 | 4.74E − 22 | 3.09E − 29 | 7.25E − 37 |
| SD | 2.19E − 17 | 9.70E − 22 | 4.27E − 29 | 6.84E − 37 | |
|
| |||||
| f 3 | Mean | 4.23 | 6.56E1 | 1.84 | 2.61E1 |
| SD | 2.43 | 2.49E1 | 1.63 | 2.87E1 | |
|
| |||||
| f 4 | Mean | 1.56E4 | 1.71E4 | 3.39E2 | 7.87E − 2 |
| SD | 3.44E3 | 8.24E3 | 8.84E1 | 8.72E − 2 | |
|
| |||||
| f 5 | Mean | 0 | 1.55 | 5.17E − 1 | 3.02 |
| SD | 0 | 9.12E − 1 | 5.83E − 1 | 1.45 | |
|
| |||||
| f 6 | Mean | 4.19E − 1 | 0 | 5.66E − 1 | 2.00E − 1 |
| SD | 7.19E − 1 | 0 | 6.63E − 1 | 4.08E − 1 | |
|
| |||||
| f 7 | Mean | 1.92E − 6 | 3.11E − 15 | 1.15E − 8 | 3.25E − 15 |
| SD | 6.96E − 6 | 0 | 5.77E − 8 | 7.11E − 16 | |
|
| |||||
| f 8 | Mean | 3.35E − 8 | 0 | 1.87E − 8 | 1.38E − 11 |
| SD | 3.88E − 8 | 0 | 3.45E − 8 | 4.56E − 11 | |
|
| |||||
| f 9 | Mean | 3.82E − 4 | 4.29E2 | 2.23E2 | 5.87E2 |
| SD | 9.15E − 7 | 2.71E2 | 1.38E2 | 2.04E2 | |
|
| |||||
| f 10 | Mean | 4.05E2 | 5.12E2 | 4.23E2 | 5.86E2 |
| SD | 1.60E1 | 1.02E2 | 2.32E1 | 2.56E2 | |
|
| |||||
| f 11 | Mean | 1.26E − 7 | 0 | 1.28E − 7 | 1.96E − 3 |
| SD | 3.30E − 7 | 0 | 2.34E − 7 | 8.01E − 3 | |
|
| |||||
| f 12 | Mean | 4.19E3 | 3.26E2 | 6.37E2 | −4.48E2 |
| SD | 9.97E2 | 2.28E2 | 2.59E2 | 3.04 | |
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| |||||
| f 13 | Mean | 3.65E1 | 3.25 | 2.04E1 | 1.39E1 |
| SD | 7.40 | 1.88 | 3.70 | 2.53 | |
|
| |||||
| f 14 | Mean | 5.78E2 | 2.53E2 | 1.35E3 | 1.32E3 |
| SD | 4.00E2 | 2.09E2 | 1.85E2 | 2.19E2 | |
|
| |||||
| f 15 | Mean | 2.05E − 3 | 5.33E − 17 | 1.65E − 3 | 2.76E − 3 |
| SD | 2.71E − 3 | 6.51E − 17 | 2.70E − 3 | 5.91E − 3 | |
|
| |||||
| f 16 | Mean | 2.73E − 5 | 3.96E − 15 | 1.74E − 6 | 3.82E − 15 |
| SD | 9.24E − 5 | 1.55E − 15 | 6.94E − 6 | 1.45E − 15 | |