Elite Opposition-Based Water Wave Optimization Algorithm for Global Optimization

Table 12

The optimal solution of the welded beam design example using different methods.

Researcher(s)	Method	Design variables
		Deb [31]	GA	0.2489	6.1730		8.1789	0.2533	2.4331
Leite and Topping [32]	GA	0.2489	6.1097	8.2484	0.2485	2.4000
Coello [33]	GA	0.2088	3.4205	8.9975	0.2100	1.7483
Deb [34]	GA	NA	NA	NA	NA	2.38
Coello [16]	GA	0.208800	3.420500	8.997500	0.210000	1.748309
Hu et al. [35]	PSO	0.20573	3.47049	9.03662	0.20573	1.72485084
He et al. [19]	PSO	0.2444	6.2175	8.2915	0.2444	2.3810
Liu [36]	SA	0.2444	6.2175	8.2915	0.2444	2.3810
Hedar and Fukushima [22]	SA	0.205644	3.4725787	9.03662391	0.2057296	1.7250022
He and Wang [23]	PSO	0.202369	3.544214	9.048210	0.205723	1.728024
Mahdavi et al. [37]	HSA	0.20573	3.47049	9.03662	0.20573	1.7248
Montes and Coello [24]	ES	0.199742	3.612060	9.037500	0.206082	1.73730
Fesanghary et al. [38]	HHSA	0.20572	3.47060	9.03682	0.20572	1.7248
Kaveh and Talatahari [39]	PSO + ABC	0.205729	3.469875	9.036805	0.205765	1.724849
Kaveh and Talatahari [40]	ABC	0.205700	3.471131	9.036683	0.205731	1.724918
Gandomi et al. [41]	FA	0.2015	3.562	9.0414	0.2057	1.73121
Akay and Karaboga [27]	FA	0.205730	3.470489	9.036624	0.205730	1.724852
Gandomi et al. [28]	BA	0.2015	3.562	9.0414	0.2057	1.7312
Gandomi [29]	ISA	NA	NA	NA	NA	2.3812
Baykasoğlu and Ozsoydan [30]	FA	0.205730	3.470489	9.036624	0.205730	1.724852
Present study	EOBWWO	0.205832588	3.253654976	9.0315042	0.205962951	1.69634711

HAS: harmony search algorithm; HHSA: hybridizing harmony search algorithm.