Open Access
表 1
算法运行结果
| 测试函数 | 指标 | GOBL-ACDE | CDE | DDE | A-DDE | εDE | DPDE |
| g01 | 最优值 | -15.000 000 | -15.000 000 | -15.000 000 | -15.000 000 | -15.000 000 | -15.000 000 |
| 平均值 | -15.000 000 | -14.999 999 | -15.000 000 | -15.000 000 | -15.000 000 | -15.000 000 | |
| 最差值 | -15.000 000 | -14.999999 | -15.000000 | -15.000 000 | -15.000 000 | -15.000 000 | |
| 标准差 | 0.00 | 5.1×10-7 | 4.13×10-9 | 9.54×10-7 | 1.97×10-13 | 0.00 | |
| g02 | 最优值 | -0.803 619 0 | -0.803 619 | -0.803 619 | -0.803 599 | -0.803 619 | -0.803 619 |
| 平均值 | -0.803 612 1 | -0.731 136 | -0.798 132 | -0.783 149 | -0.803 004 | -0.802 350 | |
| 最差值 | -0.785 939 2 | -0.601 107 | -0.761 511 | -0.700 312 | -0.786 215 | -0.795 326 | |
| 标准差 | 2.35×10-4 | 7.15×10-2 | 9.9×10-3 | 3.2×10-2 | 4.96×10-3 | 1.18×10-3 | |
| g03 | 最优值 | -1.000 5 | -0.993 685 | -1.000 | -1.000 | -1.000 | -1.000 |
| 平均值 | -1.000 | -0.801 376 | -1.000 | -1.000 | -1.000 | -1.000 | |
| 最差值 | -0.999 999 94 | -0.699 587 | -1.000 | -1.000 | -1.000 | -1.000 | |
| 标准差 | 3.026×10-8 | 8.71×10-2 | 0.00 | 8.74×10-12 | 2.76×10-6 | 0.00 | |
| g04 | 最优值 | -30 665.539 | -30 665.539 | -30 665.539 | -30 665.539 | -30 665.539 | -3 066.538 7 |
| 平均值 | -30 665.539 | -30 665.539 | -30 665.539 | -30 665.539 | -30 665.539 | -3 066.538 7 | |
| 最差值 | -30 665.539 | -30 665.539 | -30 665.539 | -30 665.539 | -30 665.539 | -3 066.538 7 | |
| 标准差 | 0.00 | 0.00 | 0.00 | 4.68×10-12 | 0.00 | 0.00 | |
| g05 | 最优值 | 5 216.496 7 | 5 126.570 92 | 5 126.497 | 5 126.497 | 5 126.498 | 5 216.496 7 |
| 平均值 | 5 216.4967 | 5 197.335 98 | 5 126.497 | 5 126.497 | 5 126.498 | 5 216.496 7 | |
| 最差值 | 5 216.4967 | 5 327.390 49 | 5 126.497 | 5 126.497 | 5 126.498 | 5 216.496 7 | |
| 标准差 | 8.6×10-12 | 9.352 5×10 | 0.00 | 4.47×10-11 | 3.13×10-5 | 0.00 | |
| g06 | 最优值 | -6 961.813 8 | -6 961.813 87 | -6 961.814 | -6 961.814 | -6 961.813 87 | -6 961.814 |
| 平均值 | -6 961.813 8 | -6 961.813 87 | -6 961.814 | -6 961.814 | -6 961.81387 | -6 961.814 | |
| 最差值 | -6 961.813 8 | -6 961.813 87 | -6 961.814 | -6 961.814 | -6 961.813 87 | -6 961.814 | |
| 标准差 | 5.46×10-12 | 0.00 | 0.00 | 1.98×10-12 | 0.00 | 0.00 | |
| g07 | 最优值 | 24.306 2 | 24.306 20 | 24.306 | 24.306 | 24.306 209 | 24.306 |
| 平均值 | 24.306 2 | 24.306 21 | 24.306 | 24.306 | 24.306 209 | 24.306 | |
| 最差值 | 24.306 2 | 24.306 22 | 24.306 | 24.306 | 24.306 209 | 24.306 | |
| 标准差 | 5.3×10-7 | 4.13×10-6 | 9.59×10-9 | 7.38×10-5 | 1.43×10-7 | 6.25×10-6 | |
| g08 | 最优值 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 |
| 平均值 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | |
| 最差值 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | -0.095 825 | |
| 标准差 | 6.72×10-17 | 0.00 | 0.00 | 3.88×10-12 | 3.13×10-17 | 0.00 | |
| g09 | 最优值 | 680.630 0 | 680.630 057 | 680.630 | 680.630 | 680.630 057 | 680.630 0 |
| 平均值 | 680.630 0 | 680.630 057 | 680.630 | 680.630 | 680.630 057 | 680.630 0 | |
| 最差值 | 680.630 0 | 680.630 057 | 680.630 | 680.630 | 680.630 057 | 680.630 0 | |
| 标准差 | 2.49×10-14 | 0.00 | 0.00 | 7.17×10-10 | 1.32×10-12 | 3.65×10-14 | |
| g10 | 最优值 | 7 049.248 | 7 049.248 | 7 049.248 | 7 049.248 | 7 049.248 | 7 049.248 |
| 平均值 | 7 049.248 | 7 049.249 | 7 049.316 | 7 049.248 | 7 049.248 | 7 049.248 | |
| 最差值 | 7 049.248 | 7 049.251 | 7 049.932 | 7 049.248 | 7 049.349 | 7 049.248 | |
| 标准差 | 3.96×10-10 | 7.01×10-3 | 6.15×10-2 | 4.69×10-4 | 7.31×10-5 | 8.36×10-8 | |
| g11 | 最优值 | 0.749 999 9 | 0.75 | 0.75 | 0.75 | 0.749 999 9 | 0.75 |
| 平均值 | 0.749 999 9 | 0.757 912 | 0.75 | 0.75 | 0.749 999 9 | 0.75 | |
| 最差值 | 0.749 999 9 | 0.796 386 | 0.75 | 0.75 | 0.749 999 9 | 0.75 | |
| 标准差 | 0.00 | 2.06×10-2 | 0.00 | 4.17×10-12 | 0.00 | 0.00 | |
| g12 | 最优值 | -1.000 000 | -1.000 000 | -1.000 | -1.000 | -1.000 000 | -1.000 000 |
| 平均值 | -1.000 000 | -1.000 000 | -1.000 | -1.000 | -1.000 000 | -1.000 000 | |
| 最差值 | -1.000 000 | -1.000 000 | -1.000 | -1.000 | -1.000 000 | -1.000 000 | |
| 标准差 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | |
| g13 | 最优值 | 0.053 941 | 0.059 003 | 0.053 941 | 0.539 42 | 0.053 941 5 | 0.053 941 5 |
| 平均值 | 0.053 941 | 0.291 429 | 0.071 437 | 0.796 27 | 0.060 156 3 | 0.053 941 5 | |
| 最差值 | 0.053 941 | 0.397 278 | 0.491 253 | 0.438 80 | 0.176 562 1 | 0.053 941 5 | |
| 标准差 | 1.14×10-18 | 1.73×10-1 | 8.21×10-2 | 8.06×10-2 | 4.14×10-2 | 1.16×10-17 |
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