Table 11 Statistical results of different methods on speed reducer problem.
From: Efficient implicit constraint handling approaches for constrained optimization problems
Algorithm | BU step | Best | Mean | Median | Worst | St. Dev |
---|---|---|---|---|---|---|
GA | Nonea | 2997.353 | 2998.827 | 2998.933 | 2999.647 | 0.645 |
BU | 3119.764 | 3126.639 | 3127.78 | 3129.697 | 2.792 | |
Hybrid-cvtol | 2997.002 | 2997.964 | 2998.023 | 2998.779 | 0.539 | |
Hybrid-ftol | 2996.371 | 2996.422 | 2996.404 | 2996.542 | 0.055 | |
DE | None | 2847.208 | 2982.631 | 2996.641 | 2997.054 | 42.848 |
BU | 2706.172 | 2900.272 | 2881.668 | 3131.199 | 157.048 | |
Hybrid-cvtol | 2706.141 | 2838.565 | 2828.955 | 2996.729 | 108.803 | |
Hybrid-ftol | 2718.692 | 2996.422 | 2996.404 | 2742.44 | 0.055 | |
ES | None | 3001.0 | 3023.363 | 3025.0 | 3039.00 | 12.694 |
BU | 3120.0 | 3123.727 | 3123.0 | 3129.00 | 2.561 | |
Hybrid-cvtol | 3007.0 | 3018.000 | 3018.0 | 3030.00 | 6.281 | |
Hybrid-ftol | 3005 | 3015.428 | 3015 | 3028.00 | 6.694 | |
SRES | None | 3012.0 | 3031.272 | 3025.0 | 3063.00 | 17.669 |
BU | 3108.0 | 3123.181 | 3125.0 | 3128.00 | 5.236 | |
Hybrid-cvtol | 3015.0 | 3039.000 | 3038.0 | 3076.00 | 17.832 | |
Hybrid-ftol | 3108 | 3122.57 | 3125 | 3128 | 6.298 | |
BRKGA | None | 2997.996 | 3001.692 | 3001.084 | 3006.936 | 2.761 |
BU | 3117.466 | 3123.452 | 3123.855 | 3127.798 | 3.386 | |
Hybrid-cvtol | 2997.312 | 3000.977 | 3000.109 | 3006.877 | 3.254 | |
Hybrid-ftol | 2875.699 | 2946.35 | 2951.593 | 3036.718 | 56.361 |