Research Article

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

Table 4

The experimental results of HA and other algorithms for tension/compression spring design problem.

AlgorithmOptimal values for variablesOptimal cost
dDP

WOA (Mirjalili and Lewis, 2016)0.0512070.34521512.548540.0126763
MVO (Mirjalili et al., 2016)0.052510.3760210.335130.012790
CPSO (He and Wang, 2007)0.0517280.35764411.2445430.0126747
GSA (Rashedi et al., 2009)0.05000.31731214.228670.0128739
GA (Coello and Mezura-montes, 2002)0.0519890.36396510.8905220.012681
ES (Mezura-montes and Coello, 2008)0.0516430.355611.3979260.012698
HS (Mahdavi et al, 2007)0.0511540.34987112.0764320.0126706
CGDA (Baykasoğlu, 2012)0.05169250.356810811.28350590.012665
BA (Gandomi et al., 2013)0.051690.3567311.28850.0126652
MFO (Mirjalili, 2015)0.0519944570.3641093210.8684218620.0126669
HPSODE (Liu et al., 2010)0.05168881010.356711700111.2893199350.0126652329
CDE (Hang et al., 2007)0.0516090.35471411.4108310.0126702
UABC (Brajevic and Tuba, 2013)0.0516910.35676911.2859880.012665
AFA (Baykasoğlu and Ozsoydan, 2015)0.0516670.35619811.3195610.0126653
CSA (Askarzadeh, 2016)0.0516890.35671711.2890120.0126652
TEO (Kaveh and Dadras, 2017)0.0517750.35879211.1683900.012665
GWO (Mirjalili et al., 2014)0.051690.35673711.288850.012665
EEGWO (Long et al., 2018)0.0516730.3563411.31130.012665
SCA (Mirjalili, 2016)0.050780.33477912.722690.0127097
ISCA (Wen Long et al, 2018)0.05202170.36476810.83230.012667
ROL-GWO (Wen Long et al, 2019)0.05172340.35753811.24160.012666
HA (this work)0.05130.318410.19000.010214