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Table 5 Optimum results for welded beam design problem

From: An advanced hybrid meta-heuristic algorithm for solving small- and large-scale engineering design optimization problems

Algorithms Optimal values for variables Optimal cost
H(\({x}_{1}\)) L(\({x}_{2}\)) T(\({x}_{3}\)) b(\({x}_{4}\))
SCA 0.2444 6.2380 8.2886 0.2446 2.3854
SBM 0.2407 6.4851 8.2399 0.2497 2.4426
FSA 0.2444 6.1258 8.2939 0.2444 2.3811
DA 0.194288 3.46681 9.04543 0.205695 1.70808
EO 0.2057 3.4705 9.03664 0.2057 1.7249
CS 0.2015 3.562 9.0414 0.2057 1.73121
CDE 0.2031 3.5430 9.03350 0.2062 1.7335
IPSO 0.2444 6.2175 8.2915 0.2444 2.3810
CPSO 0.2024 3.5442 9.04821 0.2057 1.7280
ABC 0.205730 3.470489 9.036624 0.205730 1.724852
EPO 0.205411 3.472341 9.035215 0.201153 1.723589
GWO 0.205678 3.475403 9.036964 0.206229 1.726995
PSO 0.197411 3.315061 10.00000 0.201395 1.820395
MVO 0.205611 3.472103 9.040931 0.205709 1.725472
SHO 0.205563 3.474846 9.035799 0.205811 1.725661
GA 0.164171 4.032541 10.00000 0.223647 1.87397
aDE 0.184288 3.26641 8.24133 0.204585 1.70541
aPSO 0.184288 3.26641 8.24133 0.204585 1.70845
haDEPSO 0.184288 3.26641 8.24133 0.204585 1.69782