A Hybrid Lightning Search Algorithm-Simplex Method for Global Optimization

Table 10

Best results of the pressure vessel design by different methods.

Reference	Method	Optimum variables
		Coello [19]	GA	0.812500	0.437500		40.323900	200.000000	6288.7445
Coello and Montes [20]	GA	0.812500	0.437500	42.097398	176.654050	6059.9463
He and Wang [23]	CPSO	0.812500	0.437500	42.091266	176.746500	6061.0777
Huang et al. [24]	CDE	0.812500	0.437500	42.098411	176.746500	6059.7340
Mahdavi et al. [25]	IHS	0.75	0.375	38.86010	221.36553	5849.76169
Akay and Karaboga [26]	ABC	0.812500	0.437500	42.098446	176.636596	6059.714339
Gandomi et al. [30]	BA	0.8125	0.4375	42.0984456	176.6365958	6059.7143348
Gandomi et al. [31]	CS	0.8125	0.4375	42.0984456	176.6365958	6059.7143348
Baykasoğlu and Ozsoydan [29]	AFA	0.8125	0.4375	42.09844611	176.6365894	6059.7142719
Kaveh and Talatahari [34]	ACO	0.8125	0.4375	42.103624	176.572656	6059.0888
Mezura-Montes and Coello [21]	ES	0.8125	0.4375	42.098087	176.640518	6059.7456
Mirjalili [27]	MFO	0.8125	0.4375	42.098445	176.636596	6059.7143
Rao et al. [35]	TLBO	NA	NA	NA	NA	6059.714335
Present study	LSA-SM	0.8103764	0.4005695	41.98842	178.0048	5942.6966

TLBO: teaching-learning-based optimization; NA: there is no relevant data.