Skip to main content
. 2022 Jun 15;12:9924. doi: 10.1038/s41598-022-14225-7

Table 6.

Evaluation results of the IEEE CEC 2017 objective functions C19 to C30.

GA PSO GSA TLBO MVO GWO WOA TSA RSA MPA AVOA DTBO
C19 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
C20 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
C21 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
C22 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
C23 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
C24 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
C25 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
C26 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
C27 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
C28 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 7.7E-05
Rank 5 6 11 9 7 12 10 4 8 1 2 3
C29 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
C30 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