Table 13 Evaluation results of the engineering problems.

From: Hippopotamus optimization algorithm: a novel nature-inspired optimization algorithm

F

M

Optimization Algorithms

HO

WOA

GWO

SSA

PSO

SCA

FA

GOA

TLBO

CMA-ES

MFO

AOA

IWO

TCS

Mean

0.012665

0.013544

0.012769

0.013057

0.013759

0.013033

0.01277

0.62228

0.012677

0.013488

0.013466

0.017608

0.012829

Best

0.012665

0.012675

0.012672

0.012669

0.012667

0.012728

0.012666

0.013193

0.012665

0.012665

0.012667

0.013195

0.012713

Worst

0.012665

0.016002

0.013689

0.015436

0.016642

0.013222

0.01311

2.7935

0.012703

0.017773

0.017773

0.034425

0.014

Std

2.95E-09

0.0010105

0.00019007

0.00065595

0.0011223

0.00014162

0.0001116

1.0199

9.61E-06

0.0012441

0.001263

0.0080586

0.0002798

Median

0.012665

0.013124

0.012722

0.012824

0.013348

0.013033

0.012719

0.050421

0.012676

0.012973

0.013193

0.013261

0.012747

Rank

1

10

3

7

11

6

4

13

2

9

8

12

5

PV

Mean

6102.7

7217.2

6976

6304.6

6327.7

6718.2

6294.4

7817.5

12,292

6534.1

6587.4

6471.7

8758.1

Best

6059.7

6149.7

6069.6

6059.7

6059.7

6173.7

6059.7

6059.7

6069.6

6059.7

6059.7

6059.7

6540.5

Worst

7306.6

7857.6

10,069

6820.4

7047.3

7690.7

7306.5

17,459

34,344

7368.1

7682.9

7306.9

11,672

Std

227.45

592.21

915.11

244.96

262.97

476.06

386.97

2691.5

6840.1

524.75

592.82

436.61

1704.9

Median

6059.7

7596.2

7307.6

6237.2

6315.8

6503.8

6090.5

6523.2

10,020

6315.9

6317.1

6363

8520.7

Rank

1

10

9

3

4

8

2

11

13

6

7

5

12

WB

Mean

1.7249

2.7799

1.7273

1.8772

1.7249

1.87

1.7249

3.9995

1.7249

1.7934

1.7768

2.4201

1.9001

Best

1.7249

1.821

1.7254

1.7296

1.7249

1.7794

1.7249

1.9706

1.7249

1.7249

1.7249

2.0184

1.7268

Worst

1.7249

6.0369

1.7359

2.1965

1.7249

1.9655

1.7249

5.9584

1.7249

2.3189

2.3788

2.7457

2.2028

Std

1.16E-15

1.1889

0.0022462

0.14429

4.57E-09

0.036549

8.13E-08

1.0734

9.12E-16

0.13205

0.15727

0.14915

0.2014

Median

1.7249

2.1722

1.7266

1.8146

1.7249

1.8729

1.7249

3.8978

1.7249

1.732

1.7252

2.4641

1.7552

Rank

1

9

2

6

1

5

1

10

1

4

3

8

7

WFLO

Mean

0.0014571

0.0014576

0.0014672

0.0014678

0.0014621

0.0014644

0.0014581

0.0014662

0.0014735

0.0014689

0.0014752

0.0014635

0.0014638

Best

0.0014557

0.0014565

0.0014638

0.0014653

0.0014595

0.0014608

0.0014567

0.0014622

0.0014669

0.0014612

0.0014683

0.0014583

0.0014581

Worst

0.0014596

0.0014593

0.0014692

0.0014702

0.0014662

0.0014671

0.0014616

0.0014686

0.001478

0.0014793

0.0014807

0.0014697

0.0014705

Std

6.39E-07

1.44E-06

1.19E-06

1.08E-06

1.80E-06

1.64E-06

1.10E-06

1.94E-06

2.64E-06

4.78E-06

3.82E-06

2.58E-06

3.40E-06

Median

0.0014563

0.0014575

0.0014673

0.0014683

0.0014621

0.0014647

0.0014579

0.0014671

0.0014738

0.0014689

0.0014758

0.0014633

0.0014638

Rank

1

2

9

10

4

7

3

8

12

11

13

5

6

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