Table 2 Performance study of the IGTT, GTT, PSO and GWA for ten common, well-known mathematical models.

From: Fuel-cell parameter estimation based on improved gorilla troops technique

Function

Index

Algorithms

IGTT vs PSO

IGTT vs GWA

IGTT vs GTT

PSO

GWA

GTT

Proposed IGTT

F1

Best

300.06

310.48

300.00

300.00

1

1

0

Mean

1578.38

3268.19

300.00

300.00

1

1

1

Worst

20,019.47

15,183.27

300.00

300.00

1

1

1

STD

3546.87

2860.15

0.00

0.00

1

1

1

F2

Best

600.00

600.07

600.18

600.00

0

1

1

Mean

603.45

601.81

608.56

602.07

1

0

1

Worst

616.02

609.28

632.64

611.74

1

0

1

STD

4.08

2.02

6.03

2.37

1

0

1

F3

Best

1103.325

1106.808

1103.007

1101.995

1

1

1

Mean

1205.218

1157.378

1127.185

1111.416

1

1

1

Worst

1816.178

1377.781

1173.228

1127.875

1

1

1

STD

124.8757

56.02409

17.68361

6.631911

1

1

1

F4

Best

1601.427

1607.329

1601.428

1600.738

1

1

1

Mean

1704.993

1750.189

1706.592

1671.014

1

1

1

Worst

1860.675

2155.505

1975.837

1856.503

1

1

1

STD

72.15404

129.1761

107.5027

78.0683

0

1

1

F5

Best

1704.609

1729.231

1719.061

1700.8

1

1

1

Mean

1761.116

1765.681

1743.249

1736.032

1

1

1

Worst

1866.902

1870.742

1782.644

1758.831

1

1

1

STD

34.91874

31.83496

13.93582

12.29503

1

1

1

F6

Best

1917.35

1920.302

1908.523

1905.111

1

1

1

Mean

14,688.71

9463.822

1963.368

1935.025

1

1

1

Worst

91,792.57

23,815.15

2078.074

2027.433

1

1

1

STD

17,861.23

7582.319

47.48994

35.91983

1

1

1

F7

Best

2200.001

2200.933

2200

2200

1

1

1

Mean

2316.145

2304.802

2217.995

2203.876

1

1

1

Worst

2355.174

2339.213

2320.622

2316.188

1

1

1

STD

43.17469

37.30524

39.8798

16.27022

1

1

1

F8

Best

2576.574

2732.078

2500

2500

1

1

1

Mean

2770.463

2749.426

2686.881

2647.925

1

1

1

Worst

2818.748

2780.715

2789.163

2766.639

1

1

1

STD

40.19088

13.31095

112.488

123.906

0

0

0

F9

Best

2898.674

2898.193

2897.81

2897.743

1

1

1

Mean

2962.524

2942.153

2926.967

2927.1

1

1

0

Worst

3019.521

3030.581

3024.302

2950.618

1

1

1

STD

37.59257

20.67387

27.90874

23.25528

1

0

1

F10

Best

3096.771

3089.544

3089.738

3089.297

1

1

1

Mean

3116.86

3100.511

3096.373

3092.899

1

1

1

Worst

3195.082

3203.113

3107.354

3099.196

1

1

1

STD

22.70682

17.39673

4.171774

2.837842

1

1

1

  1. 1 indicates the advantage of the proposed IGTT while 0 indicates equality or disadvantage.