Table 12 Optimal outcomes from different algorithms for the pressure vessel design problem.

From: Cooperative metaheuristic algorithm for global optimization and engineering problems inspired by heterosis theory

Algorithm

Optimum variables

Optimal cost value

  

\(T_s\)

\(T_h\)

R

L

CMA

12.7283

6.5224

42.0984

176.6366

6059.7143

PSO

13.5000

7.4990

42.0570

177.1510

6064.7692

ACO

13.8280

8.0743

43.7987

159.9395

6573.4935

BES

13.6426

7.1801

42.3937

174.9377

6093.1678

DE

12.7283

6.5224

42.0984

176.6366

6059.7143

BOA

17.1485

7.5647

51.9598

90.9831

7015.5155

GWO

12.9879

6.7641

42.0966

176.6729

6060.2564

WOA

16.5971

9.7654

52.2656

81.3288

7308.0590

PS-BES

12.7283

6.5224

42.0984

176.6366

6059.7143

PSOBOA

12.7283

6.5224

42.0984

176.6366

6059.7143

HPSOBOA

12.7283

6.5224

42.0984

176.6366

6059.7143

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