The Scientific World Journal / 2014 / Article / Tab 1 / Research Article
A Cuckoo Search Algorithm for Multimodal Optimization Table 1 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 3 (0) 0.9996 (0.0004) 0.0995 (0.1343) 0.0305 (0.0169) 27432 (1432) SDE 2.96 (0.18) 0.9863 (0.0523) 1.3053 (0.8843) 0.1343 (0.0483) 31435 (2342) CP 2.93 (0.25) 0.9725 (0.0894) 1.3776 (1.0120) 0.1432 (0.0445) 34267 (4345) AEGA 3 (0) 0.9932 (0.0054) 0.0991 (0.2133) 0.1031 (0.0065) 30323 (2316) CSA 2.91 (0.20) 0.9127 (0.0587) 1.4211 (1.0624) 0.2188 (0.0072) 25050 (0) AiNet 2.94 (0.20) 0.9002 (0.0901) 1.3839 (1.0214) 0.1760 (0.0067) 25050 (0) MCS 3 (0) 1 (0) 0.0005 (0.0001) 0.0007 (0.0002) 25433 (54)
CDE 12 (0) 1 (0) 0.0015 (0.0010) 0.2993 (0.0804) 26321 (1934) SDE 12 (0) 1 (0) 0.0018 (0.0006) 0.3883 (0.0657) 32563 (1453) CP 12 (0) 1 (0) 0.0009 (0.0003) 0.2694 (0.0506) 30324 (3521) AEGA 12 (0) 0.9987 (0.0011) 0.0988 (0.0097) 0.3225 (0.0058) 29954 (1987) CSA 11.92 (0.41) 0.9011 (0.0091) 0.1055 (0.0121) 0.4257 (0.0096) 25050 (0) AiNet 11.96 (0.30) 0.9256 (0.0074) 0.0996 (0.0105) 0.3239 (0.0081) 25050 (0) MCS 12 (0) 1 (0) 0.0001 (0.0001) 0.0073 (0.0002) 25188 (42)
CDE 23.03 (1.77) 0.8780 (0.0956) 180.47 (265.54) 9.3611 (6.4667) 28654 (2050) SDE 20.06 (2.59) 0.6980 (0.1552) 155.52 (184.59) 14.892 (7.5935) 31432 (1017) CP 21.03 (1.90) 0.7586 (0.1125) 192.32 (146.21) 11.195 (3.1490) 32843 (2070) AEGA 20.45 (1.21) 0.7128 (0.1493) 134.47 (157.37) 16.176 (8.0751) 30965 (2154) CSA 18.02 (2.41) 0.5875 (0.1641) 185.64 (104.24) 21.057 (10.105) 25050 (0) AiNet 19.24 (2.01) 0.6123 (0.1247) 179.35 (164.37) 18.180 (9.1112) 25050 (0) MCS 24.66 (1.01) 0.9634 (0.0397) 2.9408 (4.3888) 15.521 (8.0834) 25211 (37)
CDE 3.46 (1.00) 0.4929 (0.1419) 395.46 (305.01) 210.940 (72.99) 29473 (3021) SDE 3.73 (0.86) 0.5301 (0.1268) 544.48 (124.11) 206.65 (160.84) 33421 (1342) CP 3.26 (0.63) 0.4622 (0.0869) 192.32 (146.21) 199.41 (68.434) 29342 (1543) AEGA 3.51 (0.52) 0.5031 (0.0754) 188.23 (101.54) 187.21 (33.211) 32756 (1759) CSA 3.12 (0.11) 0.4187 (0.0464) 257.54 (157.18) 278.14 (47.120) 25050 (0) AiNet 3.20 (0.47) 0.5164 (0.0357) 197.24 (86.21) 178.23 (29.191) 25050 (0) MCS 6.26 (0.82) 0.8919 (0.1214) 41.864 (16.63) 39.938 (12.962) 25361 (81)
CDE 22.96 (2.25) 0.4953 (0.0496) 0.2348 (0.0269) 17.83 (7.1214) 28543 (1345) SDE 31.40 (2.35) 0.6775 (0.0503) 0.7005 (0.0849) 3.9430 (0.9270) 30543 (1576) CP 21.33 (2.00) 0.4599 (0.0436) 1.3189 (0.5179) 10.766 (1.9245) 28743 (2001) AEGA 30.11 (2.01) 0.6557 (0.0127) 0.8674 (0.0296) 2.870 (1.6781) 29765 (1911) CSA 24.79 (3.14) 0.5107 (0.0308) 0.2121 (0.0187) 8.7451 (3.470) 25050 (0) AiNet 26.57 (2.35) 0.5005 (0.0471) 0.2087 (0.0324) 6.472 (2.4187) 25050 (0) MCS 33.03 (2.07) 0.8535 (0.0251) 0.1617 (0.0283) 4.6012 (1.4206) 25159 (49)
CDE 6 (0) 0.9786 (0.0157) 0.1280 (0.0942) 0.1231 (0.0182) 30234 (2410) SDE 5.86 (0.43) 0.9185 (0.0685) 0.3842 (0.1049) 0.1701 (0.0222) 31453 (1154) CP 6 (0) 0.9423 (0.0123) 0.3460 (0.0741) 0.1633 (0.0149) 30231 (832) AEGA 5.11 (0.64) 0.8945 (0.0387) 0.4004 (0.0879) 0.1224 (0.0101) 31932 (943) CSA 4.97 (0.24) 0.8174 (0.0631) 0.4797 (0.0257) 0.1295 (0.0054) 25050 (0) AiNet 5.23 (1) 0.9012 (0.0197) 0.3974 (0.0702) 0.1197 (0.0054) 25050 (0) MCS 6 (0) 0.9993 (0.0002) 0.0037 (0.0014) 0.0006 (0.0002) 25463 (37)
CDE 30.36 (2.77) 0.6200 (0.0566) 2.2053 (1.8321) 330.51 (47.531) 33423 (1021) SDE 35.06 (5.15) 0.7162 (0.1051) 1.9537 (0.9290) 243.39 (140.04) 32832 (995) CP 35.06 (3.98) 0.7164 (0.0812) 2.4810 (1.4355) 250.11 (78.194) 31923 (834) AEGA 32.51 (2.59) 0.7004 (0.0692) 2.0751 (0.9561) 278.78 (46.225) 33821 (1032) CSA 31.78 (1.14) 0.6764 (0.4100) 1.9408 (0.9471) 347.21 (38.147) 25050 (0) AiNet 34.42 (1.80) 0.7237 (0.0257) 1.8632 (0.0754) 261.27 (61.217) 25050 (0) MCS 38.86 (1.54) 0.8014 (0.0313) 0.2290 (0.0166) 49.53 (7.1533) 25643 (97)
