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Table 24 Optimal results of each algorithm for solving welded beam design problem

From: Hybrid beluga whale optimization algorithm with multi-strategy for functions and engineering optimization problems

Algorithms

Optimal cost

Optimal cost

x1

x2

x3

x4

RSA

0.126463

8.849524

9.3452

0.208905

2.302444

GWO

0.205152

3.266731

9.036148

0.205881

1.697297

SCSO

0.206124

3.249979

9.028564

0.206137

1.697076

WOA

0.199333

3.851774

9.038645

0.20572

1.766037

RSO

0.188494

3.854347

8.797637

0.228628

1.879007

HHO

0.180196

3.826716

8.898732

0.212155

1.756419

SCA

0.198486

3.64473

9.089099

0.207635

1.76066

AOA

0.202502

3.191403

10

0.203424

1.827046

HGS

0.198636

3.38609

9.029618

0.206049

1.703834

AO

0.169862

4.018172

9.179303

0.205272

1.761452

BWO

0.22781

3.06293

8.535545

0.231596

1.798354

HBWO

0.20573

3.253115

9.036636

0.20573

1.695252