Table 4 Results of 10 CEC 2019 test functions.

F1

Ave

53779262.2

6.4E+09

7.3E+11

532279.6

2.02E+08

96019158

1.25E+09

41875472

Std

244136650

1.4E+10

7.1E+11

305559.9

3.17E+08

99434825

1.11E+09

65131659

Best

479770.203

3786111

9.9E+10

31395.71

53407.36

674471

82741321

977723.2

Worst

1360936537

7.9E+10

2.7E+12

1040866

1.31E+09

4.43E+08

4.26E+09

3.46E+08

Rank

3

7

8

1

5

4

6

2

F2

Ave

19.2163135

17.4537

756.337

17.34286

17.3434

17.34286

17.34286

17.34286

Std

0.45039606

0.04243

600.187

0

0.00018

5.24E-07

6.98E-12

0

Best

18.0920436

17.4000

40.9912

17.34286

17.34309

17.34286

17.34286

17.34286

Worst

19.8476191

17.6382

2577.34

17.34286

17.34378

17.34286

17.34286

17.34286

Rank

7

6

8

1

5

4

3

1

F3

Ave

12.7031834

12.7025

12.7028

12.7024

12.70241

12.7024

12.7024

12.7024

Std

0.00090081

9.32E-05

0.00066

8.88E-15

7.4E-06

6.83E-09

8.88E-15

5.65E-14

Best

12.7024042

12.7024

12.7024

12.7024

12.7024

12.7024

12.7024

12.7024

Worst

12.7054250

12.7028

12.7054

12.7024

12.70245

12.7024

12.7024

12.7024

Rank

8

6

7

1

5

4

1

1

F4

Ave

8949.10060

1337.74

6779.46

370.9711

41.73086

35.69433

18.64979

14.8236

Std

3099.44251

615.063

3050.33

275.0861

18.17348

8.816687

8.117097

6.738471

Best

3930.55341

248.555

1053.41

48.75268

16.77705

12.0536

6.964715

4.974795

Worst

19245.4857

3075.90

13152.1

968.9901

99.63908

50.76527

42.78314

33.02545

Rank

8

6

7

5

4

3

2

1

F5

Ave

3.66435478

2.17137

3.49225

1.306867

1.282021

1.437097

1.192071

1.116772

Std

0.82812838

0.09240

0.69429

0.214756

0.216701

0.165517

0.103203

0.073566

Best

1.77426304

1.92968

2.46590

1.098384

1.093967

1.048282

1.041824

1.01969

Worst

5.36643855

2.40332

4.99185

1.890425

1.817792

1.61265

1.503017

1.363708

Rank

8

6

7

4

3

5

2

1

F6

Ave

8.36935096

10.6110

12.3487

12.1863

10.49202

10.36737

9.523651

10.13369

Std

0.94148097

0.58849

1.27342

1.096592

0.910193

0.498473

0.789071

0.988583

Best

6.36293179

9.29098

9.78465

8.300311

8.437236

9.016194

7.624007

6.805334

Worst

10.3631394

11.7057

14.9728

13.40944

11.53001

11.09654

11.16366

11.49554

Rank

1

6

8

7

5

4

2

3

F7

Ave

184.252311

679.780

1243.42

647.2212

344.8891

494.2825

195.2827

122.4331

Std

136.494117

184.069

269.852

225.0847

281.6924

168.6637

177.124

159.0782

Best

\(-\) 74.0596791

284.448

711.755

48.13805

\(-\) 128.008

159.7648

\(-\) 227.296

\(-\) 113.915

Worst

510.930343

1086.15

1729.63

1070.25

959.4979

861.1395

636.7598

676.2203

Rank

2

7

8

6

4

5

3

1

F8

Ave

5.39375733

5.91047

7.06854

5.208911

4.983752

3.154694

4.895527

5.178097

Std

0.61182653

0.40428

0.57886

0.964377

1.123778

0.968263

0.875604

0.819286

Best

4.18057918

4.90502

5.85614

3.451235

2.535256

1.383314

3.084614

3.521016

Worst

6.35391178

6.53089

8.01840

6.869681

7.157226

5.675937

6.125509

6.509567

Rank

6

7

8

5

3

1

2

4

F9

Ave

370.072743

77.5131

1347.3

2.51083

4.304883

2.415263

2.406243

2.364543

Std

274.308184

52.0961

597.179

0.070837

0.793622

0.046637

0.038978

0.012555

Best

6.37710975

9.15484

355.677

2.41171

2.966795

2.355867

2.363587

2.343734

Worst

1010.61638

278.900

2810.3

2.685162

6.453848

2.559623

2.51789

2.392499

Rank

7

6

8

4

5

3

2

1

F10

Ave

19.9995821

20.4641

20.7380

18.32898

19.79634

16.96912

16.9288

19.12302

Std

0.32463889

0.07178

0.13405

6.091692

3.58736

7.515964

7.571114

4.672134

Best

18.7009403

20.2548

20.4302

0.002721

0.483518

0.088765

2.75E-07

1.646224

Worst

20.1796349

20.5978

21.0342

20.78663

20.62768

20.56485

20.42632

20.55939

Rank

6

7

8

3

5

2

1

4