Table 10 Time complexity comparison with other advanced intelligent algorithms in 100-dimensional benchmark test function.

From: Multi-strategy collaborative optimization of gravitational search algorithm

Function

Item

KOA

HHO

SO

ROA

WSO

CSA

JS

SMA

GJO

IMSGSA

F1

Mean

9.148488

20.60077

17.30357

13.33749

10.63617

6.506312

7.147626

173.1248

56.9961

210.7033

Rank

3

7

6

5

4

1

2

9

8

10

F2

Mean

9.529006

19.86184

16.57107

14.49083

10.54244

6.485494

6.805757

172.6361

56.39663

210.8178

Rank

3

7

6

5

4

1

2

9

8

10

F3

Mean

42.40122

102.8011

47.54527

107.2333

41.09304

37.16633

39.75911

203.9556

88.42139

335.9882

Rank

4

7

5

8

3

1

2

9

6

10

F4

Mean

9.302252

19.29472

16.45142

13.73345

10.21386

6.290651

7.412233

173.2203

57.02136

210.3843

Rank

3

7

6

5

4

1

2

9

8

10

F5

Mean

11.39218

23.70537

19.03698

18.41958

12.49094

8.244119

8.372836

174.7874

58.21494

217.2521

Rank

3

7

6

5

4

1

2

9

8

10

F6

Mean

9.069716

19.26618

17.99205

13.79546

10.87482

6.575959

6.578612

173.0012

57.45834

209.6545

Rank

3

7

6

5

4

1

2

9

8

10

F7

Mean

25.48131

52.67982

32.08075

60.1152

25.68129

21.50504

22.77449

187.6367

73.41365

271.8902

Rank

3

6

5

7

4

1

2

9

8

10

F8

Mean

10.78399

23.47594

19.17023

17.35795

12.17521

7.964064

8.075907

173.9368

59.01728

215.866

Rank

3

7

6

5

4

1

2

9

8

10

F9

Mean

11.55139

23.35744

18.03107

18.55065

11.11461

7.834801

7.325464

172.8076

58.39927

211.466

Rank

4

7

5

6

3

2

1

9

8

10

F10

Mean

11.21618

23.58674

18.90075

19.45393

12.06627

8.961056

7.079527

173.6067

58.79615

213.451

Rank

3

7

5

6

4

2

1

9

8

10

F11

Mean

12.22279

25.66019

19.82616

24.26473

13.10135

9.546839

8.842432

174.7659

60.26823

219.0596

Rank

3

7

5

6

4

2

1

9

8

10

F12

Mean

45.94239

114.098

57.51251

131.9782

50.17256

46.00574

46.28436

213.168

96.48072

365.71

Rank

1

7

5

8

4

2

3

9

6

10

F13

Mean

46.75037

114.1569

57.3579

131.3196

50.34913

46.60939

46.1159

213.2527

97.12033

364.3715

Rank

3

7

5

8

4

2

1

9

6

10

F14

Mean

12.88027

27.35768

20.75336

21.55758

13.14143

9.138508

13.49376

174.9709

60.59602

220.5821

Rank

2

7

5

6

3

1

4

9

8

10

F15

Mean

9.358387

22.9137

18.08134

14.04452

10.99727

6.744501

6.626035

172.7481

57.68316

211.2652

Rank

3

7

6

5

4

2

1

9

8

10

F16

Mean

11.34953

23.83301

17.67802

16.57736

10.78125

7.165001

9.151861

172.6617

58.10864

213.4425

Rank

4

7

6

5

3

1

2

9

8

10

F17

Mean

43.24756

70.79948

35.68283

106.8413

41.19314

37.66152

25.48458

205.3956

87.16458

301.5091

Rank

5

6

2

8

4

3

1

9

7

10

F18

Mean

44.75076

73.75891

37.06867

110.4614

42.52605

39.12076

27.02582

206.7532

90.81809

306.6823

Rank

5

6

2

8

4

3

1

9

7

10

F19

Mean

37.90066

91.13378

43.61846

94.78308

37.03582

32.99798

35.27913

199.5906

85.71002

317.2894

Rank

4

7

5

8

3

1

2

9

6

10

F20

Mean

13.45349

30.01803

20.16516

24.70701

13.79596

9.907761

11.91514

176.0626

60.96195

224.2609

Rank

3

7

5

6

4

1

2

9

8

10

F21

Mean

9.31685

20.50216

16.94572

13.89195

10.18694

6.353003

6.800095

172.3325

57.6393

209.966

Rank

3

7

6

5

4

1

2

9

8

10

F22

Mean

725.4791

1826.999

743.1911

2130.927

725.3074

721.3271

759.0667

916.6003

777.3951

3085.747

Rank

3

8

4

9

2

1

5

7

6

10

F23

Mean

9.422351

21.86689

18.02259

14.4105

11.08128

6.86498

6.787098

172.5638

57.21826

211.7408

Rank

3

7

6

5

4

2

1

9

8

10

F24

Mean

16.12288

29.92926

20.16113

26.43671

14.51653

11.43952

13.8937

176.1926

60.34111

219.7198

Rank

4

7

5

6

3

1

2

9

8

10

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