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

Table 4.

The optimal fitness of each algorithm (Dim = 50).

Function Item WOA ACO ALO GWO GJO SCGJO SCMGJO
F1 min 9.21 × 10−93 1.12 × 10−5 4.62 × 10−2 8.92 × 10−24 1.35 × 10−45 4.33 × 10−89 0.00 × 100
mean 1.68 × 10−48 −1.12 × 101 −5.18 × 10−4 −2.45 × 10−14 −1.67 × 10−24 −1.62 × 10−47 6.06 × 10−165
std 1.36 × 10−47 4.65 × 101 3.07 × 10−2 4.26 × 10−13 4.98 × 10−24 9.40 × 10−46 0.00 × 100
F2 min 5.46 × 10−52 1.55 × 102 9.75 × 102 2.55 × 10−13 5.42 × 10−27 5.37 × 10−49 0.00 × 100
mean 1.09 × 10−53 1.57 × 101 1.73 × 101 −7.99 × 10−16 3.60 × 10−29 8.17 × 10−52 0.00 × 100
std 5.26 × 10−53 7.68 × 101 3.21 × 101 5.17 × 10−15 1.09 × 10−28 1.39 × 10−50 0.00 × 100
F3 min 1.38 × 105 3.86 × 105 7.56 × 103 8.00 × 10−3 5.97 × 10−11 3.79 × 10−67 0.00 × 100
mean −1.11 × 100 7.50 × 10−1 −7.97 × 10−3 1.84 × 10−4 −2.43 × 10−8 −7.99 × 10−37 −1.49 × 10−165
std 3.43 × 101 5.46 × 101 2.03 × 101 1.98 × 10−2 1.54 × 10−6 1.10 × 10−34 0.00 × 100
F4 min 7.71 × 10−1 9.08 × 101 2.63 × 101 2.28 × 10−5 1.15 × 10−11 7.25 × 10−36 0.00 × 100
mean −1.49 × 10−1 6.20 × 10−1 −5.90 × 10−1 −1.61 × 10−6 −2.22 × 10−12 1.08 × 10−36 0.00 × 100
std 3.24 × 10−1 5.80 × 101 1.95 × 101 2.07 × 10−5 9.06 × 10−12 3.36 × 10−36 0.00 × 100
F5 min 4.84 × 101 6.03 × 1010 1.34 × 103 4.93 × 101 4.63 × 101 4.89 × 101 4.87 × 101
mean 1.19 × 10−2 8.20 × 100 2.95 × 10−1 1.20 × 10−2 4.45 × 10−2 2.56 × 10−3 5.16 × 10−3
std 2.11 × 10−2 5.06 × 101 1.12 × 100 1.57 × 10−1 1.62 × 10−1 4.61 × 10−3 2.29 × 10−2
F6 min 2.88 × 10−1 1.26 × 105 8.88 × 10−2 2.51 × 100 6.70 × 100 1.00 × 101 8.78 × 100
mean −4.88 × 10−1 −7.08 × 100 −4.99 × 10−1 −3.99 × 10−1 −2.30 × 10−1 −9.77 × 10−2 −1.48 × 10−1
std 7.58 × 10−2 5.03 × 101 4.26 × 10−2 2.02 × 10−1 2.50 × 10−1 1.98 × 10−01 2.30 × 10−1
F7 min 2.86 × 10−3 1.18 × 103 4.07 × 102 1.73 × 10−3 2.64 × 10−4 4.25 × 10−5 1.81 × 10−4
mean −6.91 × 10−3 −8.43 × 10−1 4.39 × 10−4 −2.37 × 10−3 −1.55 × 10−3 3.81 × 10−4 −1.58 × 10−4
std 3.12 × 10−2 4.70 × 101 8.93 × 10−1 2.82 × 10−2 1.35 × 10−2 4.49 × 10−3 8.75 × 10−4
F8 min −3.18 × 103 −6.59 × 103 −2.72 × 103 −1.68 × 103 −1.16 × 103 −6.98 × 102 −2.39 × 103
mean 6.55 × 101 1.57 × 102 −1.00 × 102 8.97 × 100 −9.61 × 100 −7.22 × 100 5.18 × 101
std 7.53 × 10−2 1.11 × 101 0.00 × 100 5.16 × 101 4.89 × 101 5.38 × 101 3.78 × 101
F9 min 0.00 × 100 9.80 × 104 3.48 × 102 2.17 × 100 0.00 × 100 0.00 × 100 0.00 × 100
mean −5.84 × 10−10 6.28 × 100 2.99 × 10−1 −3.86 × 10−2 −5.42 × 10−10 5.62 × 10−10 4.69 × 10−11
std 3.07 × 10−9 4.42 × 101 2.63 × 100 1.97 × 10−1 3.62 × 10−9 3.01 × 10−9 6.70 × 10−10
F10 min 7.55 × 10−15 2.11 × 101 4.44 × 10−16 2.11 × 101 2.07 × 101 4.00 × 10−15 4.44 × 10−16
mean 7.69 × 10−17 9.50 × 101 0.00 × 100 1.31 × 101 −7.46 × 10−2 3.77 × 10−16 5.08 × 10−18
std 2.24 × 10−15 1.23 × 103 0.00 × 100 6.34 × 101 3.55 × 101 1.30 × 10−15 4.47 × 10−17
F11 min 0.00 × 100 2.95 × 101 1.71 × 10−1 0.00 × 100 0.00 × 100 0.00 × 100 0.00 × 100
mean 2.40 × 10−10 −7.16 × 100 3.50 × 10−2 −2.05 × 10−9 −2.63 × 10−9 1.76 × 10−9 −3.33 × 10−11
std 8.27 × 10−9 4.77 × 101 1.13 × 100 2.95 × 10−8 2.28 × 10−8 8.27 × 10−9 3.75 × 10−9
F12 min 1.84 × 10−2 3.28 × 101 4.18 × 101 5.73 × 10−2 3.69 × 10−1 8.52 × 10−1 7.44 × 10−1
mean −9.12 × 10−1 3.61 × 100 −3.26 × 10−1 −6.99 × 10−1 −4.53 × 10−1 −1.65 × 10−1 −2.04 × 10−1
std 2.87 × 10−1 4.97 × 101 8.85 × 100 4.53 × 10−1 4.90 × 10−1 3.79 × 10−1 4.08 × 10−1
F13 min 2.26 × 10−1 4.40 × 101 1.41 × 102 1.30 × 100 3.45 × 100 4.47 × 100 4.80 × 100
mean 9.70 × 10−1 6.18 × 100 1.18 × 10−2 7.17 × 10−1 3.04 × 10−1 1.29 × 10−1 4.04 × 10−2
std 1.99 × 10−1 4.89 × 101 4.75 × 100 4.26 × 10−1 4.46 × 10−1 3.48 × 10−1 1.98 × 10−1