Table 7 Statistical results of different methods on car side design impact problem.

From: Efficient implicit constraint handling approaches for constrained optimization problems

Algorithm

BU step

Best

Mean

Median

Worst

St. Dev

GA

Nonea

23.889

24.474

24.246

25.295

0.486

BU

23.538

23.558

23.563

23.568

0.011

Hybrid-cvtol

23.522

23.551

23.557

23.566

0.015

Hybrid-ftol

23.566

23.714

23.602

24.189

0.238

DE

None

21.920

22.370

22.142

24.389

0.661

BU

20.797

21.842

21.786

23.128

0.696

Hybrid-cvtol

20.750

21.784

21.782

23.067

0.618

Hybrid-ftol

21.318

21.714

23.602

22.556

0.238

ES

None

20.432

20.770

20.815

21.168

0.251

BU

20.147

20.453

20.540

20.585

0.161

Hybrid-cvtol

20.147

20.584

20.434

21.386

0.422

Hybrid-ftol

20.446

20.746

20.727

21.064

0.234

SRES

None

20.518

20.673

20.728

20.760

0.092

BU

20.246

20.424

20.436

20.528

0.101

Hybrid-cvtol

20.249

20.425

20.436

20.528

0.100

Hybrid-ftol

20.395

20.477

20.432

20.580

0.077

BRKGA

None

18.165

18.904

18.90

19.572

0.493

BU

20.088

20.246

20.202

20.590

0.178

Hybrid-cvtol

19.631

20.082

20.124

20.639

0.346

Hybrid-ftol

19.359

20.127

20.20

20.534

0.411

  1. a“None” means no BU method or hybrid is used and only feasibility rules as an explicit constraint handling method is worked alone.
  2. Significant values are in bold.