A Hybrid Algorithm Based on a Modified Sine Cosine Algorithm and Least Square and Its Application to Microwave Imaging

Table 5

The experimental results of HA and other algorithms for pressure vessel design problem.

Algorithm	Optimal values for variables				Optimal cost
	Ts	Th	R	L
WOA (Mirjalili and Lewis, 2016)	0.8125	0.4375	42.0982699	176.638998	6059.7410
MVO (Mirjalili et al., 2016)	0.8125	0.4375	42.090738	176.73869	6060.8066
CPSO (He and Wang, 2007)	0.8125	0.4375	42.091266	176.7465	6061.0777
GSA (Rashedi et al., 2009)	1.125	0.625	55.9886598	84.4542025	8538.8359
GA (Coello and Mezura-montes, 2002)	0.8125	0.4375	42.097398	176.65405	6059.9463
ES (Mezura-montes and Coello, 2008)	0.8125	0.4375	42.098087	176.640518	6059.7456
ACO (Kaveh and Talatahari, 2010)	0.8125	0.4375	42.098353	176.637751	6059.7258
CGDA (Baykasoğlu, 2012)	0.8125	0.4375	42.0975	176.6484	6059.8391
CSA (Gandomi et al., 2013)	0.8125	0.4375	42.0984	176.6366	6059.7140
BA (Gandomi et al., 2013)	0.8125	0.4375	42.0984	176.6366	6059.7143
MFO (Mirjalili, 2015)	0.8125	0.4375	42.098445	176.636596	6059.7143
HPSODE (Liu et al., 2010)	0.8125	0.4375	42.098446	176.636596	6059.714335
CDE (Hang et al., 2007)	0.8125	0.4375	42.0984	176.6376	6059.7340
UABC (Brajevic and Tuba, 2013)	0.8125	0.4375	42.098446	176.636596	6059.714335
AFA (Baykasoğlu and Ozsoydan, 2015)	0.8125	0.4375	42.0984	176.6366	6059.7143
CSA (Askarzadeh, 2016)	0.8125	0.4375	42.0984	176.6366	6059.7144
TEO (Kaveh and Dadras, 2017)	0.8125	0.4375	42.0984	176.6366	6059.71
GWO (Mirjalili et al., 2014)	0.8125	0.4375	42.0989181	176.758731	6051.5639
EEGWO (Long et al., 2018)	13.09291	6.792196	42.09758	176.6495	6059.8704
SCA (Mirjalili, 2016)	0.817577	0.417932	41.74939	183.5727	6137.3724
ISCA (Wen Long et al, 2018)	12.96419	7.150134	42.09829	176.6392	6059.7489
ROL-GWO (Wen Long et al, 2019)	12.73387	6.781898	42.09825	176.6397	6059.7528
HA (this work)	0.8125	0.4375	42.0984	174.6670	6003.6540