Table 9 Comparison of the performance on the basis of absolute values of constitutional equations of problem 5
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 | 2.34E−12 | 4.11E−12 | 1.33E−12 | 4.96E−13 | 3.16E−09 | 1.34E−09 | 4.15E−09 | 8.55E−12 | 1.38E−09 | 1.63E−15 |
GA-2 | 2.22E−13 | 2.55E−12 | 5.55E−13 | 1.33E−13 | 4.83E−09 | 5.90E−10 | 1.98E−09 | 2.14E−12 | 3.85E−09 | 6.43E−16 |
GA-3 | 3.21E−12 | 4.13E−12 | 3.70E−12 | 1.50E−12 | 6.53E−09 | 1.78E−10 | 9.56E−10 | 4.33E−12 | 1.93E−09 | 2.33E−15 |
GA-4 | 3.40E−12 | 1.54E−11 | 3.21E−12 | 1.53E−12 | 3.60E−09 | 4.19E−10 | 2.46E−09 | 2.81E−11 | 1.15E−08 | 2.98E−15 |
GA-5 | 1.43E−12 | 2.36E−13 | 6.44E−12 | 1.58E−12 | 1.67E−09 | 1.46E−10 | 1.00E−09 | 3.36E−12 | 5.68E−10 | 1.07E−15 |
GA-6 | 9.49E−14 | 1.24E−13 | 6.97E−14 | 9.58E−15 | 4.29E−10 | 3.29E−09 | 6.22E−10 | 4.71E−13 | 2.49E−09 | 2.95E−17 |
GA-7 | 2.63E−12 | 2.38E−12 | 3.20E−12 | 2.40E−12 | 6.10E−09 | 8.68E−10 | 1.75E−09 | 5.29E−13 | 8.11E−09 | 8.00E−16 |
GA-8 | 2.18E−12 | 3.48E−12 | 7.63E−12 | 2.96E−12 | 7.82E−09 | 3.49E−10 | 1.38E−09 | 1.43E−11 | 3.93E−10 | 8.13E−16 |
GA-9 | 8.43E−13 | 2.10E−12 | 9.20E−13 | 7.86E−12 | 2.71E−09 | 2.04E−11 | 2.43E−10 | 7.98E−12 | 7.34E−09 | 1.09E−15 |
GA-10 | 3.26E−12 | 5.36E−12 | 7.68E−12 | 4.39E−13 | 8.81E−10 | 3.05E−09 | 1.23E−09 | 1.81E−11 | 5.57E−10 | 5.88E−17 |
GA-11 | 2.34E−12 | 4.11E−12 | 1.33E−12 | 4.96E−13 | 3.16E−09 | 1.34E−09 | 4.15E−09 | 8.55E−12 | 1.38E−09 | 1.63E−15 |
GA-12 | 2.22E−13 | 2.55E−12 | 5.55E−13 | 1.33E−13 | 4.83E−09 | 5.90E−10 | 1.98E−09 | 2.14E−12 | 3.85E−09 | 6.43E−16 |
GA-SQP-1 | 3.21E−12 | 4.13E−12 | 3.70E−12 | 1.50E−12 | 6.53E−09 | 1.78E−10 | 9.56E−10 | 4.33E−12 | 1.93E−09 | 2.33E−15 |
GA-SQP-2 | 3.40E−12 | 1.54E−11 | 3.21E−12 | 1.53E−12 | 3.60E−09 | 4.19E−10 | 2.46E−09 | 2.81E−11 | 1.15E−08 | 2.98E−15 |
GA-SQP-3 | 1.43E−12 | 2.36E−13 | 6.44E−12 | 1.58E−12 | 1.67E−09 | 1.46E−10 | 1.00E−09 | 3.36E−12 | 5.68E−10 | 1.07E−15 |
GA-SQP-4 | 9.49E−14 | 1.24E−13 | 6.97E−14 | 9.58E−15 | 4.29E−10 | 3.29E−09 | 6.22E−10 | 4.71E−13 | 2.49E−09 | 2.95E−17 |
GA-SQP-5 | 2.63E−12 | 2.38E−12 | 3.20E−12 | 2.40E−12 | 6.10E−09 | 8.68E−10 | 1.75E−09 | 5.29E−13 | 8.11E−09 | 8.00E−16 |
GA-SQP-6 | 2.18E−12 | 3.48E−12 | 7.63E−12 | 2.96E−12 | 7.82E−09 | 3.49E−10 | 1.38E−09 | 1.43E−11 | 3.93E−10 | 8.13E−16 |
GA-SQP-7 | 8.43E−13 | 2.10E−12 | 9.20E−13 | 7.86E−12 | 2.71E−09 | 2.04E−11 | 2.43E−10 | 7.98E−12 | 7.34E−09 | 1.09E−15 |
GA-SQP-8 | 3.26E−12 | 5.36E−12 | 7.68E−12 | 4.39E−13 | 8.81E−10 | 3.05E−09 | 1.23E−09 | 1.81E−11 | 5.57E−10 | 5.88E−17 |
GA-SQP-9 | 2.34E−12 | 4.11E−12 | 1.33E−12 | 4.96E−13 | 3.16E−09 | 1.34E−09 | 4.15E−09 | 8.55E−12 | 1.38E−09 | 1.63E−15 |
GA-SQP-10 | 2.22E−13 | 2.55E−12 | 5.55E−13 | 1.33E−13 | 4.83E−09 | 5.90E−10 | 1.98E−09 | 2.14E−12 | 3.85E−09 | 6.43E−16 |
GA-SQP-11 | 3.21E−12 | 4.13E−12 | 3.70E−12 | 1.50E−12 | 6.53E−09 | 1.78E−10 | 9.56E−10 | 4.33E−12 | 1.93E−09 | 2.33E−15 |
GA-SQP-12 | 3.40E−12 | 1.54E−11 | 3.21E−12 | 1.53E−12 | 3.60E−09 | 4.19E−10 | 2.46E−09 | 2.81E−11 | 1.15E−08 | 2.98E−15 |