Table 23 Comparison of the best solution for pressure vessel design found by different methods.

From: Enhancing grasshopper optimization algorithm (GOA) with levy flight for engineering applications

Algorithm

Optimal values for variables

f(x)

x1

x2

x3

x4

LFGOA

0.7840

0.3875

40.6220

195.8397

5895.5481

SNS

0.8125

0.4375

42.0985

176.6366

6059.7143

MOCoDE

0.8125

0.4375

42.0984

176.6366

6059.7143

AHA

0.7782

0.3847

40.3197

199.9993

5885.3537

MRFO

0.7787

0.3849

40.3447

199.6516

5987.8131

ABC

0.7782

0.3847

40.3211

199.9802

5885.4033

CPSOSA

0.8125

0.4375

42.0984

176.6366

6059.7143

ADP_GA

0.8125

0.4375

42.0968

176.6580

6059.9384

PSO_GRG

0.8125

0.4375

42.0984

176.6366

6059.7144

SO

0.7819

0.3857

40.5752

196.5499

5887.5298