Page 265 - 《软件学报》2021年第5期

傅文渊:具有万有引力加速机理的布谷鸟搜索算法 1489

Table 3 D=30, comparison of GASCS with state-of-the-art CS algorithms (Continued)
表 3 D=30,GASCS 算法与其他改进 CS 算法对比(续)
F Criterian ACS HeCOS NNCS CSPSO OLCS PSCS CS-GSA GASCS
Aver 4.62E−2 3.22E−3 0.56 115.67 2.68 1.04 124.87 4.3134E−1
F6
Var 3.22E−2 9.34E−4 0.03 2.33 0.98 0.02 10.09 0.97
Aver 3.76E−1 6.32E−3 7.82E−2 9.32E+2 9.89E+2 4.32E+1 1.02E−1 9.96E−5
F7
Var 0.11 3.25E−3 1.05E−2 5.87E+2 6.11E+2 3.21E+1 2.81E−1 3.21E−4
Aver −1.12E+4 −1.20E+4 −1.04E+4 −3.24E+3 −6.78E+3 −7.36E+3 −5.04E+3 −8.5133E+3
F8
Var 112 231 1.23E+3 363 448 109 518 100.33
Aver 0 2.98E−75 3.76E−98 4.38E−6 7.55E−5 3.11E−6 6.11E−2 0
F9
Var 0 5.34E−76 2.83E−98 3.54E−6 3.02E−5 5.14E−6 3.36E−2 0
Aver 8.88E−16 8.88E−16 8.88E−16 3.27E−3 6.77E−6 8.88E−16 8.27E−10 8.8818E−16
F10
Var 0 0 0 2.97E−1 9.31E−5 0 6.11E−10 0
Aver 7.12E−20 6.53E−30 0 1.98E−9 3.25E−7 0 6.37E+3 0
F11
Var 9.03E−19 4.38E−28 0 8.22E−8 2.32E−6 0 2.81E+3 0
Aver 4.43E−3 5.86E−2 1.22E−3 0.36 1.29 26.77 0.88 2.7736E−2
F12
Var 7.45E−4 3.44E−2 3.21E−4 0.16 0.54 3.86 0.39 0.008
Aver 14.32 11.88 0.53 20.34 27.87 13.23 12.45 0.3011
F13
Var 1.09 1.23 1.03 2.11 1.03 1.28 3.41 2.12E−2
Aver 4.25E−50 3.46E−53 1.86E−39 2.01E−5 6.64E−6 8.45E−7 3.54E−1 2.9365E−53
F14
Var 8.81E−49 4.78E−52 5.52E−40 3.31E−5 2.83E−6 1.09E−6 2.27E−2 1.1233E−53
Aver 8.97 13.11 1.64E−6 18.87 20.08 19.32 9.88 2.35E−5
F15
Var 1.34 2.01 3.44E−5 3.21 2.76 1.98 3.02 0
Aver −420.87 −338.21 −411.38 −433.27 −462.33 −114.85 −330.67 −464.9995
F16
Var 4.32 22.13 5.87 3.21 8.67 16.02 13.97 0
Table 4 D=50, comparison of GASCS with state-of-the-art CS algorithms
表 4 D=50,GASCS 算法与其他改进 CS 算法对比
F Criterian ACS HeCOS NNCS CSPSO OLCS PSCS CS-GSA GASCS
Aver 8.34E−80 1.12E−85 2.46E−87 4.65E−3 8.44E−2 4.56 11.56 5.56E−104
F1
Var 4.21E−80 5.92E−84 2.88E−87 9.27E−4 1.20E−2 0.87 2.39 2.11E−103
Aver 6.38E−55 7.13E−43 5.11E−47 5.63E−20 9.87E−11 1.53E−48 5.84E−39 2.69E−52
F2
Var 2.43E−56 1.32E−44 4.58E−47 4.09E−21 3.76E−12 6.36E−48 4.29E−38 1.11E−51
Aver 6.87E−50 2.09E−99 3.68E−60 3.84E+3 9.12E+5 8.02E+3 3.18E+3 1.15E−101
F3
Var 3.19E−51 1.12E−99 3.98E−61 2.09E+2 8.98E+3 1.01E+3 8.46E+2 6.23E−101
Aver 1.18E−40 4.82E−34 6.39E−48 3.49E−2 1.48E−10 8.28E−48 3.86E−19 1.55E−47
F4
Var 9.11E−41 6.04E−34 4.62E−47 5.11E−2 4.27E−11 2.37E−49 1.17E−18 3.71E−52
Aver 8.67E+2 213.11 31.05 1.36E+4 5.89E+3 1.08E+3 4.15E+3 48.58
F5
Var 9.24 12.31 3.51 2.52E+3 5.23E+2 4.53E+2 1.83E+3 2.07E−2
Aver 9.37E−2 1.46E−2 5.68 421.25 13.47 2.83 832.91 1.82
F6
Var 1.63E−2 8.13E−3 0.98 6.39 2.18 0.56 43.21 0.50
Aver 2.39 8.95E−3 9.15E−2 1.24E+3 9.97E+2 3.08E+2 6.63E−1 1.48E−4
F7
Var 0.88 4.57E−3 3.34E−2 4.10E+2 7.82E+2 8.77E+1 4.06E−1 1.49E−4
Aver −1.28E+4 −1.22E+4 −1.21E+4 −7.12E+3 −8.43E+3 −9.56E+3 −9.94E+3 −1.18E+4
F8
Var 393 474 3.98E+3 403 448 632 674 2.33E+3
Aver 0 4.28E−70 1.73E−90 1.98E−4 9.28E−4 1.05E−6 0.48 0
F9
Var 0 1.35E−70 6.05E−91 4.83E−4 4.46E−4 3.28E−6 0.13 0
Aver 8.88E−16 8.88E−16 8.88E−16 6.35E−2 3.97E−4 8.88E−16 3.95E−7 8.88E−16
F10
Var 0 0 0 1.72E−1 5.38E−4 0 3.07E−8 0
Aver 1.03E−15 3.85E−25 0 5.58E−5 1.47E−6 5.75E−25 8.13E+3 0
F11
Var 6.67E−16 6.79E−26 0 1.36E−6 6.08E−6 3.84E−25 3.08E+3 0
Aver 3.74 8.28E−2 3.86E−2 2.18 6.49 87.27 1.14 6.77E−2
F12
Var 0.83 9.73E−2 1.06E−2 0.88 1.14 4.29 0.69 4.44E−2
Aver 332.37 24.39 2.19 43.78 136.28 28.18 45.63 2.11
F13
Var 9.16 3.78 0.87 3.29 2.84 2.09 4.05 1.20
Aver 1.22E−35 5.07E−50 8.49E−35 6.43E−4 1.34E−4 3.33E−6 3.28 1.88E−53
F14
Var 4.97E−37 1.36E−51 2.36E−35 2.98E−4 6.77E−5 5.35E−6 0.34 9.78E−3
Aver 89.73 85.38 4.37E−5 33.48 40.37 57.43 63.28 21.83
F15
Var 15.32 5.83 2.96E−5 3.89 3.97 3.29 5.39 10.92
Aver −930.18 −623.28 −508.28 −799.48 −895.39 −398.28 −689.39 −1.25E+3
F16
Var 63.94 24.25 11.26 12.04 15.39 37.38 16.73 36.45