Research Article
Improved Bat Algorithm Based on Multipopulation Strategy of Island Model for Solving Global Function Optimization Problem
Table 2
Simulation results on function optimization problems under different chaotic mappings.
| Function | Chaotic mapping | Avg. | Best | Std. |
| | Chebyshev map | 2.46E − 03 | 6.07E − 07 | 7.37E − 03 | Circle map | 4.08E − 03 | 9.77E − 07 | 1.12E − 02 | Gauss/mouse map | 1.77E − 04 | 6.33E − 07 | 5.25E − 04 | Iterative map | 1.92E − 02 | 1.22E − 06 | 5.76E − 02 | Logistic map | 1.74E − 06 | 1.10E − 06 | 5.28E − 07 | Piecewise map | 1.91E − 06 | 5.70E − 07 | 7.10E − 07 | Sine map | 1.60E − 02 | 9.53E − 07 | 4.76E − 02 | Singer map | 3.38E − 02 | 1.14E − 06 | 1.01E − 01 | Sinusoidal map | 8.43E − 03 | 1.07E − 06 | 2.53E − 02 | Tent map | 2.25E − 06 | 1.21E − 06 | 7.34E − 07 |
| | Chebyshev map | 1.22E − 03 | 1.67E − 07 | 3.01E − 03 | Circle map | 2.06E − 03 | 1.27E − 07 | 5.76E − 03 | Gauss/mouse map | 6.44E − 03 | 1.28E − 07 | 1.47E − 02 | Iterative map | 3.04E − 03 | 1.28E − 07 | 6.60E − 03 | Logistic map | 7.70E − 05 | 8.32E − 08 | 1.66E − 04 | Piecewise map | 2.28E − 06 | 1.33E − 07 | 6.04E − 06 | Sine map | 3.75E − 03 | 4.52E − 08 | 1.12E − 02 | Singer map | 8.91E − 03 | 1.16E − 07 | 1.33E − 02 | Sinusoidal map | 4.62E − 03 | 2.06E − 07 | 9.24E − 03 | Tent map | 9.79E − 04 | 8.08E − 08 | 2.58E − 03 |
| | Chebyshev map | 2.11E + 00 | 1.16E + 00 | 5.77E − 01 | Circle map | 2.13E + 00 | 1.16E + 00 | 9.04E − 01 | Gauss/mouse map | 2.01E + 00 | 1.42E − 03 | 7.21E − 01 | Iterative map | 2.24E + 00 | 1.16E + 00 | 7.99E − 01 | Logistic map | 2.23E + 00 | 1.91E − 03 | 9.84E − 01 | Piecewise map | 1.89E + 00 | 1.59E − 03 | 6.80E − 01 | Sine map | 2.41E + 00 | 1.16E + 00 | 6.13E − 01 | Singer map | 1.95E + 00 | 1.64E − 03 | 7.85E − 01 | Sinusoidal map | 2.22E + 00 | 1.76E − 03 | 9.29E − 01 | Tent map | 1.90E + 00 | 1.31E − 03 | 7.28E − 01 |
| | Chebyshev map | −4.3381 | −3.4831 | 0.4727 | Circle map | −4.2815 | −2.8800 | 0.9298 | Gauss/mouse map | −4.4270 | −3.3986 | 0.7517 | Iterative map | −4.3976 | −3.2347 | 0.7557 | Logistic map | −4.6527 | −3.5362 | 0.9810 | Piecewise map | −3.6912 | −3.3934 | 0.1789 | Sine map | −4.1871 | −3.3551 | 0.5061 | Singer map | −3.9540 | −3.2770 | 0.5729 | Sinusoidal map | −4.1621 | −2.6385 | 0.7561 | Tent map | −4.0751 | −2.6231 | 0.9906 |
| | Chebyshev map | 12.3377 | 6.9650 | 4.9388 | Circle map | 14.6261 | 6.9650 | 5.0547 | Gauss/mouse map | 13.4322 | 5.9700 | 5.1170 | Iterative map | 11.6412 | 4.9750 | 4.6038 | Logistic map | 12.0392 | 3.9801 | 4.3472 | Piecewise map | 9.6514 | 6.9649 | 1.6074 | Sine map | 13.1337 | 4.9750 | 5.5895 | Singer map | 14.0292 | 7.9600 | 3.9410 | Sinusoidal map | 13.0342 | 6.9649 | 6.4242 | Tent map | 13.5317 | 6.9650 | 5.2686 |
| | Chebyshev map | 2.64E − 01 | 3.69E − 06 | 2.98E − 01 | Circle map | 5.17E − 01 | 1.08E − 05 | 8.15E − 01 | Gauss/mouse map | 1.84E − 01 | 4.49E − 05 | 1.45E − 01 | Iterative map | 1.92E − 01 | 1.64E − 05 | 1.69E − 01 | Logistic map | 3.22E − 01 | 2.76E − 03 | 3.84E − 01 | Piecewise map | 1.49E − 01 | 6.80E − 06 | 1.90E − 01 | Sine map | 1.75E − 01 | 2.25E − 06 | 2.58E − 01 | Singer map | 2.17E − 01 | 2.46E − 06 | 2.55E − 01 | Sinusoidal map | 1.19E − 01 | 2.12E − 06 | 1.72E − 01 | Tent map | 2.02E − 01 | 7.22E − 06 | 2.21E − 01 |
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