Table 6.
Evaluation results of the IEEE CEC 2017 objective functions to .
| GA | PSO | GSA | TLBO | MVO | GWO | WOA | TSA | RSA | MPA | AVOA | DTBO | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| avg | 9731.0 | 2605.8 | 1.4E+04 | 6.1E+05 | 9892.8 | 2.3E+06 | 4.5E+04 | 2926.0 | 1925.8 | 1952.9 | 1930.9 | 1900.0 | |
| std | 7858.3 | 2581.0 | 2.2E+04 | 6.6E+05 | 7399.9 | 1.8E+07 | 2.2E+04 | 2196.8 | 33.850 | 62.668 | 31.866 | 0.5177 | |
| Rank | 7 | 5 | 9 | 11 | 8 | 12 | 10 | 6 | 2 | 4 | 3 | 1 | |
| avg | 2060.5 | 2098.1 | 2280.2 | 2880.4 | 2084.0 | 3805.4 | 2277.5 | 2090.0 | 2493.9 | 2025.1 | 2026.6 | 2020.0 | |
| std | 68.762 | 75.043 | 92.511 | 245.57 | 59.512 | 532.00 | 97.367 | 57.113 | 286.71 | 28.694 | 19.776 | 11.056 | |
| Rank | 4 | 7 | 9 | 11 | 5 | 12 | 8 | 6 | 10 | 2 | 3 | 1 | |
| avg | 2301.9 | 2281.0 | 2364.7 | 2580.4 | 2320.2 | 2580.6 | 2371.7 | 2255.0 | 2328.3 | 2233.5 | 2225.6 | 2200.0 | |
| std | 50.749 | 65.303 | 32.539 | 71.887 | 8.0010 | 217.34 | 33.053 | 72.501 | 78.370 | 50.003 | 37.064 | 23.769 | |
| Rank | 6 | 5 | 9 | 11 | 7 | 12 | 10 | 4 | 8 | 3 | 2 | 1 | |
| avg | 2307.9 | 2312.5 | 2308.9 | 7208.1 | 2316.1 | 1.4E+04 | 2301.3 | 2308.6 | 3534.3 | 2287.8 | 2290.5 | 2280.0 | |
| std | 2.8287 | 76.143 | 0.0826 | 1545.5 | 19.061 | 1188.7 | 0.0846 | 13.699 | 972.08 | 15.320 | 30.114 | 44.375 | |
| Rank | 5 | 8 | 7 | 11 | 9 | 12 | 4 | 6 | 10 | 2 | 3 | 1 | |
| avg | 2634.3 | 2632.1 | 2751.7 | 3124.3 | 2631.3 | 3826.7 | 2751.3 | 2630.7 | 2730.2 | 2612.6 | 2622.4 | 2610.0 | |
| std | 15.619 | 10.570 | 45.031 | 96.724 | 9.5706 | 250.98 | 46.255 | 10.124 | 284.18 | 4.9156 | 4.5501 | 4.6847 | |
| Rank | 7 | 6 | 10 | 11 | 5 | 12 | 9 | 4 | 8 | 2 | 3 | 1 | |
| avg | 2764.1 | 2696.7 | 2748.1 | 3342.0 | 2742.6 | 3480.6 | 2753.4 | 2740.3 | 2701.6 | 2626.3 | 2574.3 | 2520.0 | |
| std | 17.772 | 124.54 | 6.5110 | 189.89 | 9.8817 | 250.01 | 6.4110 | 76.566 | 86.826 | 95.951 | 70.877 | 43.496 | |
| Rank | 10 | 4 | 8 | 11 | 7 | 12 | 9 | 6 | 5 | 3 | 2 | 1 | |
| avg | 2955.5 | 2929.2 | 2943.2 | 2920.6 | 2940.6 | 3920.2 | 2950.1 | 2932.1 | 2936.3 | 2923.4 | 2917.2 | 2900.0 | |
| std | 23.363 | 30.274 | 17.686 | 21.231 | 27.954 | 288.36 | 18.086 | 28.773 | 23.595 | 14.650 | 7.8934 | 0.5732 | |
| Rank | 11 | 5 | 9 | 3 | 8 | 12 | 10 | 6 | 7 | 4 | 2 | 1 | |
| avg | 3110.6 | 2952.4 | 3.4E+04 | 7886.1 | 3222.1 | 7105.4 | 3454.4 | 2904.0 | 3462.6 | 3125.2 | 2991.1 | 2850.0 | |
| std | 396.58 | 300.50 | 752.69 | 1099.0 | 492.04 | 3364.5 | 723.62 | 43.795 | 699.89 | 337.31 | 222.65 | 111.56 | |
| Rank | 5 | 3 | 12 | 11 | 7 | 10 | 8 | 2 | 9 | 6 | 4 | 1 | |
| avg | 3126.2 | 3121.7 | 3273.6 | 3419.8 | 3114.9 | 4827.4 | 3271.4 | 3098.9 | 3149.0 | 3116.0 | 3100.4 | 3090.0 | |
| std | 21.882 | 29.347 | 48.343 | 98.368 | 24.965 | 736.161 | 48.582 | 3.303 | 25.373 | 23.812 | 12.238 | 0.5212 | |
| Rank | 7 | 6 | 10 | 11 | 4 | 12 | 9 | 2 | 8 | 5 | 3 | 1 | |
| avg | 3325.4 | 3330.3 | 3472.5 | 3413.4 | 3392.5 | 5107.4 | 3465.8 | 3217.9 | 3413.1 | 2303.3 | 2709.2 | 3100.0 | |
| std | 150.94 | 141.55 | 39.174 | 140.03 | 117.32 | 374.55 | 40.862 | 131.96 | 153.87 | 140.48 | 71.968 | 7.7E05 | |
| Rank | 5 | 6 | 11 | 9 | 7 | 12 | 10 | 4 | 8 | 1 | 2 | 3 | |
| avg | 3260.6 | 3205.6 | 3452.2 | 4562.6 | 3196.3 | 8920.8 | 3463.9 | 3216.3 | 3218.5 | 3216.4 | 3191.4 | 3150.0 | |
| std | 97.691 | 60.193 | 197.37 | 583.47 | 51.265 | 1691.3 | 206.57 | 61.883 | 128.70 | 67.701 | 40.254 | 15.064 | |
| Rank | 8 | 4 | 9 | 11 | 3 | 12 | 10 | 5 | 7 | 6 | 2 | 1 | |
| avg | 5.4E+05 | 3.5E+05 | 1.3E+06 | 4.0E+06 | 3.0E+05 | 1.9E+07 | 9.4E+05 | 4.2E+05 | 3.1E+05 | 3.0E+05 | 1.5E+05 | 3410.0 | |
| std | 7.2E+05 | 6.1E+05 | 4.1E+05 | 1.9E+06 | 6.3E+05 | 1.59E+08 | 4.1E+05 | 6.4E+05 | 5.3E+05 | 2.6E+04 | 1.3E+04 | 31.986 | |
| Rank | 8 | 6 | 10 | 11 | 4 | 12 | 9 | 7 | 5 | 3 | 2 | 1 | |
| Sum rank | 211 | 160 | 252 | 323 | 202 | 351 | 240 | 188 | 177 | 112 | 84 | 40 | |
| Mean rank | 7.0333 | 5.3333 | 8.4 | 10.767 | 6.7333 | 11.7 | 8 | 6.2667 | 5.9 | 3.7333 | 2.8 | 1.3333 | |
| Total rank | 8 | 4 | 10 | 11 | 7 | 12 | 9 | 6 | 5 | 3 | 2 | 1 | |