Table 4 Comparison of trained parameters along with their fitness for GA and GA-SQP algorithms in case of problem 2
Method | Absolute values | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
\(f_{1} ({\mathbf{t}})\) | \(f_{2} ({\mathbf{t}})\) | \(f_{3} ({\mathbf{t}})\) | \(f_{4} ({\mathbf{t}})\) | \(f_{5} ({\mathbf{t}})\) | \(f_{6} ({\mathbf{t}})\) | \(f_{7} ({\mathbf{t}})\) | \(f_{8} ({\mathbf{t}})\) | \(f_{9} ({\mathbf{t}})\) | \(f_{10} ({\mathbf{t}})\) | |
GA-1 | 1.95E−04 | 8.59E−05 | 8.04E−05 | 6.73E−05 | 2.14E−06 | 1.99E−04 | 2.03E−04 | 5.08E−05 | 2.38E−05 | 1.28E−04 |
GA-2 | 1.11E−04 | 6.11E−05 | 1.45E−04 | 1.64E−05 | 1.59E−04 | 3.00E−04 | 9.51E−05 | 1.51E−04 | 1.06E−04 | 3.37E−04 |
GA-3 | 7.70E−03 | 2.72E−03 | 7.92E−03 | 9.06E−03 | 8.95E−03 | 8.62E−04 | 3.63E−03 | 7.65E−03 | 6.87E−03 | 2.55E−03 |
GA-4 | 1.16E−03 | 8.85E−04 | 7.90E−04 | 5.93E−04 | 2.00E−03 | 8.81E−04 | 2.61E−04 | 4.13E−04 | 8.22E−05 | 1.26E−03 |
GA-5 | 6.24E−05 | 1.51E−06 | 1.10E−04 | 1.18E−04 | 3.31E−05 | 8.62E−06 | 1.83E−05 | 3.80E−05 | 9.69E−05 | 3.09E−05 |
GA-6 | 7.95E−05 | 1.03E−04 | 6.85E−05 | 1.35E−04 | 4.90E−05 | 2.66E−04 | 2.10E−04 | 2.02E−04 | 2.03E−04 | 8.51E−05 |
GA-7 | 1.15E−03 | 1.79E−03 | 1.38E−03 | 2.72E−04 | 2.27E−03 | 3.74E−03 | 2.23E−03 | 7.52E−04 | 6.01E−04 | 2.69E−03 |
GA-8 | 1.33E−04 | 4.64E−04 | 1.22E−04 | 8.29E−05 | 9.25E−04 | 5.37E−05 | 2.72E−05 | 3.39E−04 | 7.71E−04 | 7.23E−04 |
GA-9 | 4.50E−04 | 3.23E−05 | 3.72E−04 | 3.20E−04 | 8.02E−05 | 6.25E−04 | 1.68E−04 | 2.28E−04 | 5.79E−05 | 3.10E−04 |
GA-10 | 4.43E−04 | 1.85E−05 | 4.26E−04 | 7.06E−05 | 4.04E−05 | 2.16E−04 | 1.50E−04 | 2.12E−04 | 5.02E−04 | 5.50E−04 |
GA-11 | 1.13E−02 | 1.90E−03 | 2.95E−03 | 1.00E−02 | 2.57E−03 | 6.58E−03 | 4.03E−03 | 7.04E−03 | 4.98E−03 | 7.41E−03 |
GA-12 | 1.09E−03 | 7.57E−04 | 1.41E−03 | 1.54E−04 | 1.86E−03 | 1.98E−03 | 1.13E−03 | 4.83E−04 | 1.59E−04 | 4.41E−03 |
GA-SQP-1 | 3.51E−17 | 9.63E−17 | 8.33E−17 | 1.69E−17 | 2.21E−17 | 1.09E−16 | 5.20E−18 | 3.08E−17 | 1.52E−16 | 2.47E−17 |
GA-SQP-2 | 1.46E−16 | 1.65E−17 | 2.69E−17 | 1.78E−17 | 1.44E−16 | 8.24E−17 | 5.07E−17 | 3.69E−17 | 4.24E−17 | 2.58E−17 |
GA-SQP-3 | 9.06E−17 | 7.33E−17 | 7.98E−17 | 8.24E−18 | 1.32E−16 | 2.60E−18 | 5.64E−17 | 9.02E−17 | 4.36E−17 | 2.63E−17 |
GA-SQP-4 | 2.39E−17 | 1.65E−17 | 8.76E−17 | 8.67E−18 | 3.73E−17 | 3.17E−17 | 6.29E−17 | 6.11E−17 | 1.25E−16 | 7.98E−17 |
GA-SQP-5 | 8.89E−17 | 3.73E−17 | 2.69E−17 | 6.42E−17 | 3.51E−17 | 2.65E−17 | 5.29E−17 | 6.33E−17 | 9.89E−17 | 2.92E−17 |
GA-SQP-6 | 3.34E−17 | 7.16E−17 | 8.07E−17 | 3.77E−17 | 2.34E−17 | 8.24E−17 | 1.16E−16 | 9.11E−18 | 6.90E−17 | 3.01E−17 |
GA-SQP-7 | 3.43E−17 | 1.65E−17 | 2.60E−17 | 3.73E−17 | 2.17E−17 | 5.46E−17 | 6.07E−17 | 4.77E−18 | 4.23E−17 | 8.58E−17 |
GA-SQP-8 | 3.47E−17 | 1.69E−17 | 7.98E−17 | 6.42E−17 | 2.13E−17 | 4.34E−19 | 1.15E−16 | 2.17E−17 | 9.82E−17 | 2.57E−17 |
GA-SQP-9 | 3.47E−17 | 1.65E−17 | 3.21E−17 | 4.68E−17 | 9.11E−17 | 2.60E−18 | 1.17E−16 | 6.07E−18 | 4.23E−17 | 8.03E−17 |
GA-SQP-10 | 2.21E−17 | 1.69E−17 | 1.36E−16 | 6.64E−17 | 3.25E−17 | 8.67E−19 | 5.25E−17 | 5.07E−17 | 6.79E−17 | 2.96E−17 |
GA-SQP-11 | 2.13E−17 | 9.45E−17 | 2.78E−17 | 4.60E−17 | 8.98E−17 | 2.60E−17 | 6.07E−17 | 1.86E−17 | 6.87E−17 | 8.65E−17 |
GA-SQP-12 | 1.32E−16 | 1.47E−17 | 2.08E−17 | 4.38E−17 | 3.38E−17 | 2.95E−17 | 1.73E−18 | 9.41E−17 | 1.20E−17 | 3.01E−17 |