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. 2024 Apr 28;9(5):270. doi: 10.3390/biomimetics9050270

Table 2.

The optimal fitness of each algorithm (Dim = 10).

Function Item WOA ACO ALO GWO GJO SCGJO SCMGJO
F1 min 2.67 × 10−87 3.34 × 10−15 2.98 × 10−9 3.76 × 10−73 5.58 × 10−129 1.41 × 10−160 0.00 × 100
mean −6.67 × 10−45 5.58 × 10−9 −1.57 × 10−7 3.85 × 10−38 −5.07 × 10−66 1.53 × 10−81 5.70 × 10−164
std 1.57 × 10−44 1.83 × 10−8 1.82 × 10−5 2.00 × 10−37 2.43 × 10−65 3.62 × 10−81 2.71 × 10−1
F2 min 8.94 × 10−61 4.34 × 10−7 1.75 × 102 2.39 × 10−39 1.53 × 10−69 1.49 × 10−83 0.00 × 100
mean −8.71 × 10−62 1.91 × 10−8 1.43 × 101 −5.38 × 10−41 −7.22 × 10−71 −7.91 × 10−85 0.00 × 100
std 1.03 × 10−61 4.79 × 10−8 3.20 × 101 2.47 × 10−40 1.44 × 10−70 1.75 × 10−84 3.06 × 10−1
F3 min 1.00 × 102 3.50 × 100 1.09 × 10−5 2.58 × 10−33 1.82 × 10−73 9.56 × 10−122 0.00 × 100
mean 3.38 × 10−1 −9.77 × 10−2 −1.31 × 10−4 −1.55 × 10−18 −1.30 × 10−38 −1.41 × 10−62 −1.49 × 10−163
std 5.87 × 100 8.06 × 10−1 1.89 × 10−3 2.96 × 10−17 2.31 × 10−37 1.52 × 10−61 3.36 × 10−1
F4 min 2.03 × 10−3 7.44 × 10−4 4.29 × 10−4 1.40 × 10−24 1.18 × 10−48 4.13 × 10−73 0.00 × 100
mean −2.65 × 10−5 −1.60 × 10−4 −5.92 × 10−5 2.79 × 10−25 −4.67 × 10−49 −3.33 × 10−74 0.00 × 100
std 1.44 × 10−3 4.52 × 10−4 4.01 × 10−4 1.44 × 10−24 1.14 × 10−48 3.26 × 10−73 2.82 × 10−1
F5 min 6.89 × 100 6.62 × 100 8.14 × 100 7.18 × 100 8.05 × 100 8.09 × 100 8.10 × 100
mean 1.80 × 10−1 1.68 × 10−1 5.48 × 10−2 1.37 × 10−1 6.83 × 10−2 6.49 × 10−2 6.43 × 10−2
std 2.63 × 10−1 2.64 × 10−1 1.03 × 10−1 2.42 × 10−1 1.46 × 10−1 1.47 × 10−1 3.45 × 10−1
F6 min 3.31 × 10−5 8.49 × 10−15 5.01 × 10−9 3.17 × 10−6 2.62 × 10−5 7.54 × 10−1 4.77 × 10−1
mean −5.00 × 10−1 −5.00 × 10−1 −5.00 × 10−1 −5.00 × 10−1 −5.00 × 10−1 −3.41 × 10−1 −4.50 × 10−1
std 1.92 × 10−3 3.04 × 10−8 2.34 × 10−5 5.46 × 10−4 1.70 × 10−3 2.36 × 10−1 3.22 × 10−1
F7 min 6.11 × 10−4 6.19 × 10−3 4.68 × 10−3 5.34 × 10−4 3.82 × 10−4 2.85 × 10−5 1.02 × 10−5
mean 7.47 × 10−3 −1.23 × 10−2 2.64 × 10−2 1.09 × 10−2 −2.91 × 10−3 5.35 × 10−4 1.44 × 10−4
std 5.05 × 10−2 6.75 × 10−2 7.67 × 10−2 4.77 × 10−2 3.77 × 10−2 6.16 × 10−3 2.99 × 10−1
F8 min −6.36 × 102 −5.09 × 102 −5.44 × 102 −5.48 × 102 −4.01 × 102 −3.91 × 102 −5.57 × 102
mean 6.55 × 101 −6.85 × 101 −1.00 × 102 3.07 × 101 2.07 × 101 −3.08 × 101 −6.61 × 101
std 1.18 × 10−2 2.17 × 101 0.00 × 100 5.96 × 101 5.57 × 101 6.74 × 101 2.88 × 10−1
F9 min 0.00 × 100 3.71 × 101 1.69 × 101 0.00 × 100 0.00 × 100 0.00 × 100 0.00 × 100
mean −2.08 × 10−12 5.90 × 10−2 9.95 × 10−2 −7.17 × 10−10 −1.42 × 10−9 1.97 × 10−10 9.77 × 10−10
std 2.72 × 10−9 9.91 × 10−1 1.36 × 100 3.47 × 10−9 2.00 × 10−9 2.78 × 10−9 2.55 × 10−1
F10 min 4.00 × 10−15 2.05 × 101 1.16 × 100 2.02 × 101 4.00 × 10−15 4.44 × 10−16 4.44 × 10−16
mean −3.06 × 10−17 8.13 × 101 −8.72 × 10−2 −1.11 × 100 3.40 × 10−16 −9.87 × 10−17 −3.79 × 10−17
std 1.14 × 10−15 4.87 × 102 2.76 × 10−1 7.85 × 101 1.23 × 10−15 2.70 × 10−16 2.83 × 10−1
F11 min 0.00 × 100 5.27 × 10−1 4.78 × 10−1 0.00 × 100 0.00 × 100 0.00 × 100 0.00 × 100
mean −7.13 × 10−9 3.66 × 10−1 1.62 × 100 −1.11 × 10−11 4.96 × 10−9 −2.96 × 10−10 1.12 × 10−9
std 6.74 × 10−9 7.58 × 100 1.45 × 101 1.29 × 10−8 1.32 × 10−8 1.57 × 10−8 2.84 × 10−1
F12 min 1.02 × 10−4 5.42 × 10−15 1.79 × 10−9 9.97 × 10−7 5.75 × 10−6 1.97 × 10−1 5.89 × 10−2
mean −9.98 × 10−1 −1.00 × 100 −1.00 × 100 −1.00 × 100 −1.00 × 100 −5.05 × 10−1 −5.93 × 10−1
std 2.39 × 10−2 1.49 × 10−7 1.00 × 10−4 2.12 × 10−3 5.09 × 10−3 5.32 × 10−1 4.06 × 10−1
F13 min 6.14 × 10−4 4.12 × 10−14 8.88 × 10−9 2.41 × 10−6 9.76 × 10−2 5.35 × 10−1 8.01 × 10−1
mean 9.96 × 10−1 1.00 × 100 1.00 × 100 1.00 × 100 9.04 × 10−1 5.10 × 10−1 4.99 × 10−1
std 2.54 × 10−2 1.78 × 10−7 9.60 × 10−5 1.63 × 10−3 3.05 × 10−1 5.64 × 10−1 4.22 × 10−1