Table 14 Comparison of the best solutions for the rolling element bearing design problem.

From: Energy valley optimizer: a novel metaheuristic algorithm for global and engineering optimization

 

TLBO38

ABC80

GWO80

ALO80

MGA16

CGO66

Present Study (EVO)

Best

81,859.7400000000

85,428.2495000000

85,529.0830000000

85,546.6377000000

83,912.8798300000

83,918.4925300000

81,859.7415974169

Dm

21.4255900000

125.6599000000

125.7090000000

125.7180000000

125.0002787000

125.0000000000

125.7190556147

Db

125.7191000000

21.4086200000

21.4231600000

21.4252420000

21.8745119200

21.8750000000

21.4255902408

Z

11.0000000000

11.0000000000

11.0000000000

11.0000000000

10.7770658300

10.7770090500

10.6955328415

fi

0.5150000000

0.5150000000

0.5150000000

0.5150000000

0.5150008220

0.5150000000

0.5150000000

f0

0.5150000000

0.5150000000

0.5293220000

0.5157018000

0.5150029930

0.5150000000

0.5150000000

KDmin

0.4242660000

0.4271660000

0.4208670000

0.4541646000

0.4059083530

0.4000000000

0.4631829367

KDmax

0.6339480000

0.6688490000

0.6332960000

0.6464928000

0.6555880200

0.6462005260

0.6999265065

ε

0.3000000000

0.3000000000

0.3002240000

0.3000122000

0.3000041550

0.3000000000

0.3000000000

e

0.0688580000

0.0713860000

0.0200000000

0.0638003000

0.0775449260

0.0501524450

0.0634315198

ζ

0.7994980000

0.6000000000

0.6194320000

0.6107592000

0.6000000000

0.6000000000

0.6042131085

  1. pitch diameter (Dm), ball diameter (Db), total number of balls (Z), inner raceway curvature coefficient (fi), and the outer raceway curvature coefficient (f0).
  2. ABC Artificial bee colony, GWO Grey wolf optimizer, ALO Ant lion optimizer.