Research Article
Chaotic Teaching-Learning-Based Optimization with Lévy Flight for Global Numerical Optimization
Table 4
Comparative results of different algorithms over 30 independent runs.
| Function | Dim. | PS-ABC [33] | TLBO [15] | I-TLBO [15] | CTLBO | Mean | SD | Mean | SD | Mean | SD | Mean | SD |
| Sphere | 20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Schwefel 2.22 | 20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Schwefel 1.2 | 20 | | | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 30 | | | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 50 | | | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Schwefel 2.21 | 20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 30 | | | | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 50 | 19.6683 | | | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Rosenbrock | 20 | 0.5190 | | 15.0536 | | 1.3785 | | | | 30 | 1.5922 | | 25.4036 | | 15.032 | | 11.1767 | | 50 | 34.4913 | | 45.8955 | | 38.7294 | | 36.9081 | |
| Step | 20 | | | | | 0.00 | 0.00 | 0.00 | 0.00 | 30 | | | | | 0.00 | 0.00 | 0.00 | 0.00 | 50 | | | | | | | 0.00 | 0.00 |
| Quartic | 20 | | | | | | | | | 30 | | | | | | | | | 50 | | | | | | | | |
| Schwefel | 20 | −8379.66 | | | | −8263.84 | | −7817.05 | | 30 | −12564.23 | | | | −12519.92 | | −10903.20 | | 50 | −20887.98 | | | | −20700.70 | | −15744.41 | |
| Rastrigin | 20 | 0.00 | 0.00 | | | 0.00 | 0.00 | 0.00 | 0.00 | 30 | 0.00 | 0.00 | | | 0.00 | 0.00 | 0.00 | 0.00 | 50 | 0.00 | 0.00 | | | 0.00 | 0.00 | 0.00 | 0.00 |
| Ackley | 20 | | 0.00 | | | | 0.00 | | 0.00 | 30 | | 0.00 | | | | 0.00 | | 0.00 | 50 | | 0.00 | | | | 0.00 | | 0.00 |
| Griewank | 20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Penalized | 20 | | | | | | | | | 30 | | | | | | | | | 50 | | | | | | | | |
| Penalized 2 | 20 | | | | | | | | | 30 | | | | | | | | | 50 | | | | | | | | |
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