Table 11 Optimal pressure vessel design results.

From: A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems

Algorithm

The optimal design variable

f(x)

\(x_1\)

\(x_2\)

\(x_3\)

\(x_4\)

CDAOA

12.50272

6.543118

42.09845

176.6366

6059.714

GSA

23.76685

82.76199

29.44249

157.4569

14759.91

GWO

15.7409

7.871897

51.75987

85.01026

6416.542

WOA

18.11255

24.87277

58.0093

45.24567

12824.85

HHO

17.91942

8.608707

57.42524

48.53101

6886.063

CSA

14.42778

7.25083

45.33679

140.2538

6090.526

SO

13.41254

6.517919

42.02982

177.4956

6068.247

DMO

13.70192

6.923671

45.10956

142.5865

6116.691

TSA

16.13278

7.863282

51.53705

87.14112

6454.965

GJO

14.23252

6.632482

45.12233

142.493

6116.247

AO

14.28957

7.334368

42.32746

173.8879

6466.58

CPSOGSA

17.32653

9.258232

54.33429

67.2899

6828.023

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