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. 2021 Aug 16;23(8):1053. doi: 10.3390/e23081053

Table 6.

Performance analysis on absolute errors in terms of minimum and mean values obtained by the proposed algorithm during 100 independent executions for each case of scenario-I of problem 1.

ε2=0.0 ε2=0.2 ε2=0.4 ε2=0.6 ε2=0.8 ε2=1.0
Min Mean Min Mean Min Mean Min Mean Min Mean Min Mean
0.00 2.23 × 10−14 7.01 × 10−7 2.12 × 10−8 3.38 × 10−6 3.32 × 10−7 7.52 × 10−5 1.94 × 10−6 8.62 × 10−5 7.14 × 10−6 3.63 × 10−4 1.98 × 10−5 9.94 × 10−4
0.05 3.46 × 10−13 8.35 × 10−8 4.54 × 10−7 2.49 × 10−6 7.45 × 10−6 2.48 × 10−5 4.44 × 10−5 1.10 × 10−4 1.65 × 10−4 3.41 × 10−4 4.60 × 10−4 9.98 × 10−4
0.10 2.16 × 10−13 2.43 × 10−8 2.08 × 10−7 5.38 × 10−6 3.10 × 10−6 4.11 × 10−5 1.72 × 10−5 1.54 × 10−4 5.99 × 10−5 4.94 × 10−4 1.58 × 10−4 1.46 × 10−3
0.15 5.05 × 10−15 1.64 × 10−7 8.44 × 10−11 3.99 × 10−6 6.51 × 10−10 3.82 × 10−5 2.86 × 10−8 8.33 × 10−5 1.07 × 10−7 3.02 × 10−4 1.07 × 10−6 8.17 × 10−4
0.20 7.06 × 10−14 3.10 × 10−7 3.63 × 10−11 1.82 × 10−6 2.32 × 10−8 3.09 × 10−5 1.76 × 10−9 3.39 × 10−5 6.25 × 10−10 1.47 × 10−4 1.60 × 10−8 3.27 × 10−4
0.25 1.67 × 10−13 3.78 × 10−7 1.52 × 10−7 8.51 × 10−7 2.20 × 10−6 2.61 × 10−5 1.19 × 10−5 2.64 × 10−5 4.04 × 10−5 9.50 × 10−5 1.05 × 10−4 2.14 × 10−4
0.30 1.20 × 10−13 3.55 × 10−7 2.01 × 10−8 9.66 × 10−7 8.84 × 10−10 2.21 × 10−5 1.22 × 10−6 3.43 × 10−5 1.03 × 10−5 9.36 × 10−5 4.32 × 10−6 2.71 × 10−4
0.35 2.11 × 10−14 2.67 × 10−7 4.96 × 10−9 1.39 × 10−6 4.26 × 10−8 1.73 × 10−5 1.44 × 10−7 3.85 × 10−5 3.06 × 10−7 1.03 × 10−4 4.85 × 10−7 3.23 × 10−4
0.40 9.80 × 10−15 1.54 × 10−7 2.03 × 10−8 1.63 × 10−6 3.36 × 10−7 1.25 × 10−5 1.98 × 10−6 3.56 × 10−5 1.37 × 10−6 1.08 × 10−4 1.98 × 10−5 3.19 × 10−4
0.45 8.60 × 10−14 5.95 × 10−8 3.97 × 10−9 1.59 × 10−6 1.13 × 10−6 9.22 × 10−6 5.66 × 10−6 3.00 × 10−5 2.23 × 10−6 1.08 × 10−4 2.36 × 10−5 2.82 × 10−4
0.50 2.37 × 10−16 1.34 × 10−8 2.67 × 10−9 1.42 × 10−6 7.15 × 10−10 8.63 × 10−6 3.02 × 10−8 2.62 × 10−5 7.25 × 10−7 1.02 × 10−4 8.05 × 10−8 2.43 × 10−4
0.55 9.43 × 10−14 2.88 × 10−8 4.74 × 10−8 1.24 × 10−6 5.85 × 10−7 1.04 × 10−5 2.83 × 10−6 2.52 × 10−5 8.85 × 10−6 9.14 × 10−5 2.14 × 10−5 2.17 × 10−4
0.60 1.52 × 10−14 9.89 × 10−8 2.53 × 10−9 1.06 × 10−6 1.98 × 10−8 1.30 × 10−5 6.24 × 10−8 2.49 × 10−5 1.27 × 10−7 7.64 × 10−5 1.93 × 10−7 1.94 × 10−4
0.65 1.37 × 10−14 1.99 × 10−7 1.85 × 10−8 8.56 × 10−7 2.81 × 10−7 1.47 × 10−5 1.57 × 10−6 2.25 × 10−5 8.31 × 10−7 5.96 × 10−5 4.77 × 10−6 1.64 × 10−4
0.70 1.04 × 10−13 2.90 × 10−7 7.34 × 10−8 6.75 × 10−7 2.07 × 10−7 1.46 × 10−5 5.16 × 10−6 1.77 × 10−5 1.37 × 10−6 4.64 × 10−5 4.32 × 10−5 1.32 × 10−4
0.75 1.57 × 10−13 3.33 × 10−7 2.34 × 10−9 7.27 × 10−7 6.02 × 10−7 1.35 × 10−5 3.36 × 10−6 1.50 × 10−5 1.23 × 10−6 4.78 × 10−5 1.46 × 10−5 1.32 × 10−4
0.80 1.71 × 10−15 2.96 × 10−7 5.19 × 10−9 1.21 × 10−6 1.20 × 10−7 1.32 × 10−5 1.71 × 10−6 2.14 × 10−5 2.97 × 10−6 7.53 × 10−5 1.27 × 10−5 2.01 × 10−4
0.85 2.12 × 10−15 1.80 × 10−7 4.43 × 10−9 1.94 × 10−6 7.05 × 10−8 1.42 × 10−5 4.04 × 10−7 3.71 × 10−5 4.00 × 10−8 1.21 × 10−4 3.69 × 10−6 3.16 × 10−4
0.90 1.84 × 10−13 4.23 × 10−8 1.04 × 10−7 2.05 × 10−6 1.36 × 10−6 1.32 × 10−5 6.90 × 10−6 4.46 × 10−5 7.01 × 10−6 1.33 × 10−4 5.55 × 10−5 3.40 × 10−4
0.95 3.14 × 10−13 3.68 × 10−8 1.47 × 10−7 7.45 × 10−7 1.85 × 10−6 7.28 × 10−6 9.10 × 10−6 1.98 × 10−5 1.29 × 10−5 5.46 × 10−5 2.87 × 10−5 1.33 × 10−4
0.10 1.71 × 10−14 4.69 × 10−7 1.05 × 10−8 1.26 × 10−6 1.40 × 10−7 1.99 × 10−5 7.16 × 10−7 2.31 × 10−5 1.46 × 10−7 7.38 × 10−5 5.77 × 10−6 2.05 × 10−4