The Scientific World Journal / 2014 / Article / Tab 2 / Research Article
A Cuckoo Search Algorithm for Multimodal Optimization Table 2 Performance comparison among multimodal optimization algorithms for the test functions
. For all the parameters, numbers in parentheses are the standard deviations.
Function Algorithm EPN MPR PA DA NFE
CDE 24.16 (2.77) 0.9682 (0.0318) 2.4873 (2.4891) 0.8291 (0.8296) 28453 (2345) SDE 18.56 (2.51) 0.4655 (0.0636) 30.21 (43.132) 2.1162 (0.6697) 31328 (945) CP 8.80 (1.95) 0.2222 (0.0509) 60.52 (56.056) 6.9411 (0.9500) 30743 (1032) AEGA 15.67 (2.21) 0.3934 (0.0534) 40.56 (10.111) 3.2132 (0.2313) 32045 (684) CSA 14.54 (3.12) 0.3323 (0.0431) 48.34 (8.343) 3.8232 (0.4521) 25050 (0) AiNet 16.78 (2.63) 0.4264 (0.0321) 37.32 (10.432) 2.9832 (0.5493) 25050 (0) MCS 24.73 (0.49) 0.9898 (0.0170) 0.900 (1.4771) 0.2584 (0.1275) 25582 (74)
CDE 2.1 (0.20) 0.7833 (0.0211) 23.235 (7.348) 2.9354 (0.3521) 30074 (1621) SDE 2.3 (0.31) 0.8245 (0.0145) 20.745 (8.012) 2.6731 (0.8621) 31497 (245) CP 2.4 (0.25) 0.8753 (0.0301) 18.563 (5.865) 2.3031 (0.7732) 29746 (1114) AEGA 2.1 (0.10) 0.7879 (0.0174) 22.349 (6.231) 3.0021 (0.6431) 30986 (1027) CSA 2 (0) 0.7098 (0.0025) 32.859 (8.659) 3.1432 (0.5431) 25050 (0) AiNet 2 (0) 0.7165 (0.0076) 31.655 (6.087) 3.2265 (0.3467) 25050 (0) MCS 4.74 (0.25) 0.9154 (0.0163) 2.3515 (2.511) 0.0109 (0.0428) 26043 (112)
CDE 4.12 (0.78) 0.7285 (0.0342) 3.546 (1.034) 3.0132 (0.5321) 29597 (1034) SDE 4.64 (0.54) 0.7893 (0.0532) 3.054 (1.127) 2.864 (0.3271) 32743 (964) CP 4 (0) 0.7092 (0.0298) 3.881 (1.154) 3.3412 (0.4829) 28463 (1142) AEGA 3.43 (0.33) 0.6734 (0.0745) 4.212 (1.312) 3.9121 (0.8732) 29172 (1044) CSA 3.76 (0.51) 0.6975 (0.0828) 4.002 (1.197) 3.5821 (0.7498) 25050 (0) AiNet 4 (0) 0.7085 (0.0385) 3.797 (1.002) 3.3002 (0.6496) 25050 (0) MCS 6.82 (0.75) 0.9274 (0.0137) 0.423 (0.064) 0.6842 (0.0598) 25873 (88)
CDE 10.36 (1.60) 0.8572 (0.1344) 1.859 (0.952) 0.5237 (0.0321) 34156 (2321) SDE 10.36 (2.04) 0.8573 (0.1702) 1.268 (0.581) 0.6927 (0.0921) 32132 (975) CP 9.16 (1.76) 0.7577 (0.1462) 2.536 (0.890) 0.6550 (0.0440) 30863 (1002) AEGA 8.34 (1.32) 0.6954 (0.1021) 4.432 (1.232) 0.7021 (0.0231) 31534 (852) CSA 8 (0) 0.6532 (0.1378) 4.892 (1.003) 0.7832 (0.0432) 25050 (0) AiNet 8 (0) 0.6438 (0.2172) 4.921 (1.102) 0.7753 (0.0326) 25050 (0) MCS 12 (0) 0.9998 (0.0003) 0.011 (0.008) 0.0060 (0.0012) 25789 (121)
CDE 6.21 (1.54) 0.6986 (0.1893) 4.029 (1.401) 5.1514 (1.0351) 31456 (975) SDE 5.34 (2.03) 0.5812 (0.1992) 5.075 (1.071) 6.0117 (1.1517) 32481 (1002) CP 6.04 (0.61) 0.6312 (0.1771) 4.657 (1.321) 5.3177 (1.7517) 33123 (563) AEGA 4 (0) 0.4112 (0.0343) 6.341 (1.034) 7.8751 (1.652) 32634 (843) CSA 4 (0) 0.3998 (0.0212) 6.151 (1.121) 7.7976 (1.0043) 25050 (0) AiNet 4 (0) 0.4034 (0.0973) 6.003 (1.735) 7.6613 (1.1219) 25050 (0) MCS 9.65 (1.45) 0.9411 (0.0087) 0.015 (0.009) 0.1043 (0.0864) 25832 (65)
CDE 13 (0) 1 (0) 0.010 (0.003) 0.031 (0.0098) 31572 (962) SDE 13 (0) 1 (0) 0.008 (0.004) 0.021 (0.0065) 33435 (1201) CP 13 (0) 1 (0) 0.015 (0.002) 0.037 (0.0065) 31834 (799) AEGA 10.66 (1.21) 0.8323 (0.0343) 0.088 (0.033) 0.096 (0.0098) 32845 (1182) CSA 8.94 (2.34) 0.7998 (0.0564) 0.110 (0.088) 0.113 (0.0104) 25050 (0) AiNet 10.32 (1.52) 0.8297 (0.0206) 0.098 (0.075) 0.087 (0.0086) 25050 (0) MCS 13 (0) 0.9997 (0.0134) 0.011 (0.007) 0.023 (0.0016) 25740 (101)
CDE 3.04 (1.34) 0.6675 (0.0754) 0.809 (0.101) 176.54 (21.23) 32273 (1004) SDE 3.55 (0.56) 0.7017 (0.0487) 0.675 (0.079) 115.43 (34.21) 30372 (965) CP 2.87 (1.23) 0.6123 (0.0861) 1.081 (0.201) 202.65 (42.81) 31534 (1298) AEGA 3 (0) 0.6686 (0.0542) 0.894 (0.076) 150.32 (57.31) 29985 (1745) CSA 3 (0) 0.6691 (0.0231) 0.897 (0.045) 161.57 (27.92) 25050 (0) AiNet 3.50 (0.25) 0.7001 (0.0765) 0.668 (0.097) 121.43 (43.12) 25050 (0) MCS 7.13 (0.81) 0.9859 (0.0094) 0.023 (0.010) 17.62 (4.13) 25786 (92)