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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