基于种群多样性的自适应乌鸦搜索算法
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何杰光,彭志平,崔得龙,李启锐
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Adaptive crow search algorithm based on population diversity
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Jie-guang HE,Zhi-ping PENG,De-long CUI,Qi-rui LI
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表 3 基于种群多样性的自适应乌鸦搜索算法(ACSA)与其他算法的收敛结果对比 |
Tab.3 Comparison of convergence results between adaptive crow search algorithm based on population diversity (ACSA) and other algorithms |
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算法 | 函数 | avg | std | 函数 | avg | std | 函数 | avg | std | 函数 | avg | std | ACSA | | 0 | 0 | | 0 | 0 | | 0 | 0 | | 0 | 0 | CSA | | 2.09×10−1 | 9.70×10−2 | | 2.58 | 8.48×10−1 | | 1.30×102 | 4.63×10 | | 5.70 | 1.81 | SCCSA | | 3.37×10−32 | 1.82×10−31 | | 2.39×10−17 | 5.84×10−17 | | 1.42×10−16 | 5.47×10−16 | | 5.65×10−17 | 1.80×10−16 | ICSA | | 8.09×10−144 | 4.11×10−143 | | 3.27×10−71 | 1.78×10−70 | | 2.74×10−143 | 1.43×10−142 | | 8.83×10−72 | 2.99×10−71 | SCA | F1 | 1.67×10−1 | 4.45×10−1 | F2 | 3.58×10−5 | 7.96×10−5 | F3 | 6.35×103 | 4.86×103 | F4 | 2.69×10 | 1.29×10 | MTDE | | 5.15×10−2 | 1.46×10−1 | | 9.41×10−3 | 1.75×10−2 | | 5.62×102 | 4.58×102 | | 2.98×10 | 8.86 | BLPSO | | 1.24×10−1 | 1.82×10−1 | | 3.56×10−2 | 3.19×10−2 | | 2.37×103 | 7.80×102 | | 2.95×10 | 4.97 | EO | | 3.97×10−73 | 1.10×10−72 | | 1.45×10−42 | 3.14×10−42 | | 3.32×10−17 | 1.37×10−16 | | 1.49×10−18 | 3.23×10−18 | HHO | | 8.38×10−180 | 0 | | 1.29×10−91 | 6.86×10−91 | | 2.06×10−134 | 9.45×10−134 | | 7.19×10−86 | 3.94×10−85 | ACSA | | 9.50×10−4 | 5.15×10−3 | | 3.60×10−3 | 1.97×10−2 | | 2.68×10−4 | 2.70×10−4 | | −12 569.486 6 | 2.82×10−8 | CSA | | 1.45×102 | 1.20×102 | | 1.94×10−1 | 1.40×10−1 | | 4.62×10−2 | 1.50×10−2 | | −8 599.526 0 | 1.42×103 | SCCSA | | 1.74×10−3 | 4.50×10−3 | | 1.09×10−4 | 1.49×10−4 | | 1.79×10−4 | 1.80×10−4 | | −12 569.486 6 | 1.63×10−5 | ICSA | | 2.90×10 | 1.42×10−2 | | 6.66 | 6.33×10−1 | | 3.20×10−4 | 3.20×10−4 | | −5 117.599 6 | 8.81×102 | SCA | F5 | 2.55×103 | 6.61×103 | F6 | 4.93 | 5.31×10−1 | F7 | 5.33×10−2 | 8.60×10−2 | F8 | −3 754.152 4 | 2.33×102 | MTDE | | 2.93×102 | 3.34×102 | | 1.18×10−2 | 2.92×10−2 | | 1.28×10−1 | 6.05×10−2 | | −11 574.031 2 | 2.85×102 | BLPSO | | 2.58×102 | 2.84×102 | | 1.24×10−1 | 2.31×10−1 | | 2.08×10−2 | 9.52×10−3 | | −11 524.497 0 | 3.16×102 | EO | | 2.50×10 | 1.58×10−1 | | 1.55×10−6 | 2.12×10−6 | | 8.56×10−4 | 6.38×10−4 | | −8 934.221 5 | 5.45×102 | HHO | | 5.88×10−3 | 7.62×10−3 | | 8.42×10−5 | 1.46×10−4 | | 9.54×10−5 | 1.12×10−4 | | −12 569.480 6 | 1.70×10−2 | ACSA | | 0 | 0 | | 8.88×10−16 | 0 | | 0 | 0 | | 1.91×10−9 | 5.16×10−9 | CSA | | 3.66×10 | 1.80×10 | | 4.49 | 1.12 | | 4.03×10−1 | 1.26×10−1 | | 6.75 | 2.67 | SCCSA | | 0 | 0 | | 5.27×10−15 | 1.79×10−15 | | 0 | 0 | | 8.95×10−6 | 2.12×10−5 | ICSA | | 0 | 0 | | 8.88×10−16 | 0 | | 0 | 0 | | 1.13 | 2.34×10−1 | SCA | F9 | 1.70×10 | 2.08×10 | F10 | 1.24×10 | 8.99 | F11 | 2.98×10−1 | 2.88×10−1 | F12 | 1.07×102 | 4.07×102 | MTDE | | 2.84×10 | 7.01 | | 3.10 | 1.27 | | 7.39×10−2 | 1.12×10−1 | | 1.45×103 | 7.90×103 | BLPSO | | 1.41×10 | 4.40 | | 8.55×10−1 | 6.51×10−1 | | 1.07×10−1 | 1.18×10−1 | | 3.10×10−1 | 4.15×10−1 | EO | | 0 | 0 | | 5.86×10−15 | 1.77×10−15 | | 8.20×10−4 | 4.49×10−3 | | 3.46×10−3 | 1.89×10−2 | HHO | | 0 | 0 | | 8.88×10−16 | 0 | | 0 | 0 | | 3.43×10−6 | 4.82×10−6 | ACSA | | 2.64×10−7 | 1.10×10−6 | | 0.998 0 | 2.33×10−14 | | 3.46×10−4 | 4.92×10−5 | | −1.031 6 | 6.64×10−9 | CSA | | 5.78 | 1.04×10 | | 0.998 0 | 1.78×10−15 | | 4.93×10−4 | 4.50×10−4 | | −1.031 6 | 5.83×10−16 | SCCSA | | 6.18×10−5 | 1.30×10−4 | | 0.998 0 | 3.55×10−12 | | 3.12×10−4 | 5.49×10−6 | | −1.031 6 | 5.58×10−8 | ICSA | | 2.98 | 7.65×10−2 | | 4.579 0 | 3.42 | | 7.59×10−3 | 1.23×10−2 | | −1.031 6 | 6.01×10−10 | SCA | F13 | 4.06×103 | 1.39×104 | F14 | 2.512 0 | 2.44 | F15 | 9.47×10−4 | 3.34×10−4 | F16 | −1.031 6 | 2.58×10−5 | MTDE | | 7.40×103 | 4.03×104 | | 0.998 0 | 0 | | 3.07×10−4 | 1.32×10−19 | | −1.031 6 | 6.05×10−16 | BLPSO | | 2.96 | 3.06×10 | | 0.998 0 | 0 | | 7.01×10−4 | 4.81×10−5 | | −1.031 6 | 6.78×10−16 | EO | | 5.57×10−2 | 6.40×10−2 | | 1.064 1 | 3.62×10−1 | | 2.35×10−3 | 6.11×10−3 | | −1.031 6 | 6.32×10−16 | HHO | | 4.78×10−5 | 6.09×10−5 | | 1.031 1 | 1.81×10−1 | | 3.78×10−4 | 1.82×10−4 | | −1.031 6 | 2.55×10−10 | ACSA | | 0.397 89 | 4.47×10−6 | | 3 | 5.22×10−7 | | −3.862 8 | 4.80×10−5 | | −3.313 9 | 1.12×10−2 | CSA | | 0.397 89 | 0 | | 3 | 2.44×10−15 | | −3.862 8 | 2.49×10−15 | | −3.294 2 | 5.12×10−2 | SCCSA | | 0.397 89 | 4.89×10−6 | | 3 | 5.87×10−5 | | −3.857 4 | 1.86×10−2 | | −3.213 0 | 9.23×10−2 | ICSA | | 0.397 89 | 0 | | 4.826 4 | 6.84 | | −3.837 8 | 3.05×10−2 | | −2.861 8 | 3.06×10−1 | SCA | F17 | 0.399 67 | 2.00×10−3 | F18 | 3 | 3.14×10−5 | F19 | −3.854 4 | 2.37×10−3 | F20 | −2.718 6 | 5.65×10−1 | MTDE | | 0.397 89 | 0 | | 3 | 2.19×10−15 | | −3.862 8 | 2.70×10−15 | | −3.298 2 | 4.84×10−2 | BLPSO | | 0.397 89 | 0 | | 3 | 1.59×10−15 | | −3.862 8 | 2.71×10−15 | | −3.301 1 | 4.50×10−2 | EO | | 0.397 89 | 0 | | 3 | 8.12×10−16 | | −3.862 8 | 2.57×10−15 | | −3.267 9 | 6.98×10−2 | HHO | | 0.397 89 | 3.98×10−6 | | 3 | 2.72×10−7 | | −3.861 9 | 1.37×10−3 | | −3.161 9 | 8.03×10−2 | ACSA | | −10.153 2 | 2.34×10−7 | | −10.402 9 | 2.71×10−5 | | −10.536 4 | 3.24×10−5 | | | | CSA | | −8.649 8 | 2.83 | | −9.539 5 | 2.28 | | −10.010 4 | 2.00 | | | | SCCSA | | −10.153 2 | 4.30×10−5 | | −10.402 8 | 2.90×10−6 | | −10.536 3 | 1.81×10−5 | | | | ICSA | | −6.470 5 | 1.97 | | −6.761 6 | 2.65 | | −6.296 7 | 2.83 | | | | SCA | F21 | −1.727 2 | 1.57 | F22 | −3.831 9 | 1.93 | F23 | −3.300 4 | 2.02 | | | | MTDE | | −9.646 4 | 1.55 | | −9.165 5 | 2.28 | | −9.635 1 | 2.05 | | | | BLPSO | | −8.294 2 | 3.00 | | −9.271 4 | 2.60 | | −9.963 8 | 1.76 | | | | EO | | −8.802 0 | 2.55 | | −9.716 6 | 2.12 | | −10.356 1 | 9.87×10−1 | | | | HHO | | −5.901 6 | 1.93 | | −5.085 6 | 2.22×10−3 | | −5.126 3 | 2.44×10−3 | | | |
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