Table 12 Results of the algorithms in solving engineering design optimization challenges.

From: A Geometric Whale Optimization Algorithm with Triangular Flight for Numerical Optimization and Engineering Design

Challenge

Metrics

ZOA

ROA

GWO

AROA

HHO

MWOA

MSWOA

IPSO

WOA

ESTGWOA

MDCB

Ave

0.235256

0.310220

0.235294

0.240281

0.235243

0.306669

0.235849

0.241194

0.235244

0.235243

Std

0.000014

0.026709

0.000051

0.010552

0.000003

0.010850

0.000789

0.017186

0.000006

0.000000

GTC

Ave

1224745.938305

1309165.332480

1224745.980931

1226414.350923

1224745.937223

1283139.561224

1224747.548348

1225259.313547

1224745.937231

1224745.937222

Std

0.003218

16702.572889

0.048508

4318.136982

0.000004

37040.528387

2.044711

302.994825

0.000014

0.000000

RNW

Ave

0.350231

46.011550

0.123568

3.019161

2.181324

47.960433

0.032921

1.647436

1.535390

0.000010

Std

0.043291

58.353112

0.138384

7.502239

2.662361

55.909959

0.180261

7.222763

1.749428

0.000000

IB

Ave

6.702945

4.526722

6.702792

5.819033

6.702546

5.412604

6.697927

6.701496

6.234270

6.703047

Std

0.000098

1.720154

0.000226

0.806430

0.000763

1.035780

0.004039

0.001089

0.590366

0.000000

PL

Ave

1.534853

1046.905257

12.164855

242.708852

221.171939

209.122861

6.734300

425.632071

40.159918

1.057186

Std

0.926179

1714.200946

42.264085

164.447989

161.334757

137.364284

30.814952

642.203111

103.807997

0.000027

TBT

Ave

259.805047

260.312491

259.805064

259.828628

259.817090

260.011082

259.808025

262.342612

259.874216

259.805047

Std

0.000001

1.627374

0.000020

0.065246

0.013144

0.284944

0.003259

3.211540

0.202731

0.000000

TCS

Ave

0.121523

7.751442

0.121525

0.126589

 -

13.670875

0.121546

0.121537

0.121536

0.121522

Std

0.000001

41.658887

0.000004

0.014248

0.000000

51.534241

0.000028

0.000014

0.000073

0.000000

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