Table 7 Results for IEEE CEC-BC functions.

From: A dual-adaptive stochastic reinforcement chimp optimization algorithm for fire detection and multidimensional problem solving

Functions

No.

Metric

ULCHOA

CHOA

NCHOA

ICHOA

ECHOA

DLFCHOA

UM

F1

Ave

274.33

2741.28

166.33

9322.22

417.88

2433.22

Std

274.31

345.21

4.22E−06

5741.49

362.74

1952.112

 

p-value

0.0025

0.0033

0.0044

0.0044

0.0061

0.0033

F3

Ave

833.33

300

300

587.00

300

300

Std

25.031

1.95E−11

8.77E−07

125.33

2.12E−04

2.44E−07

  

p-value

0.0046

0.054

0.0014

0.0055

0.0021

0.0033

MM

F4

Ave

407.44

399.44

401.25

408.33

406.55

404.33

Std

7.652

4.1425

1.4521

2.22

1.4123

1.7412

 

p-value

0.0017

0.0018

0.0033

0.0011

0.0027

0.0044

F5

Ave

509.21

511.77

509.33

512.55

508.22

509.33

Std

7.9654

2.4563

4.5412

4.6523

3.5551

4.4169

 

p-value

0.0025

0.0033

0.0044

0.0044

0.0061

0.0033

F6

Ave

614.42

633.88

602.41

599.55

603.41

601.33

Std

9.3332

1.25E−01

5.11E−04

1.44E−02

2.3330

1.02E−04

 

p-value

0.0017

0.0018

0.0033

0.0011

0.0027

0.0044

F7

Ave

714.33

722.33

720.10

719.55

717.33

720.10

Std

1.2336

4.4174

3.0333

5.3625

3.4141

5.3201

 

p-value

0.07323

0.0014

0.0011

0.0024

0.0002

0.0036

F8

Ave

814.654

820.45

811.22

812.65

815.44

818.22

Std

2.4141

5.3333

2.3696

7.1523

5.9142

6.8585

 

p-value

0.0017

0.0018

0.0033

0.0011

0.0027

0.0044

F9

Ave

900.00

902.36

905.33

900.00

902.11

900.00

Std

0.00

5.33E−14

0.0044

5.98E−14

1.1236

0.0512

 

p-value

0.143

0.0044

0.0011

0.0024

0.0002

0.0036

F10

Ave

1677.33

1652.11

1355.24

1633.11

2566.33

1411.33

Std

198.475

199.222

134.258

233.11

223.252

259.546

  

p-value

0.0025

0.0033

0.0044

0.0044

0.0061

0.0033

Hybrid

F11

Ave

1110.33

1117.25

1103.33

1106.25

1110.36

1105.42

Std

7.5552

6.1425

2.33211

7.5533

9.3369

5.4414

 

p-value

0.0017

0.0027

0.0033

0.0015

0.0027

0.0044

F12

Ave

7.11E+05

1.38E+06

1.35E+03

3.55E+05

1.81E+06

1.03 E+05

Std

4.22E+05

1.22E+06

6.76E+01

3.33E+05

1.86E+06

9.79 E+03

 

p-value

0.0035

0.0024

0.0018

0.0044

0.0055

0.0019

F13

Ave

1.4E+03

2.14E+03

1.31E+03

1.03E+04

9.85E+03

8.02E+03

Std

25.3312

0.53E+03

7.33E+02

7.73E+03

2.14E+03

6.72E+03

 

p-value

0.0011

0.0024

0.0002

0.0036

0.0046

0.0021

F14

Ave

1.45E+03

7.47E+03

1.41E+03

1.45E+03

7.14E+03

1.46E+03

Std

54.33

8.15E+03

5.5221

82.33

1.49E+03

31.54214

 

p-value

0.0017

0.0018

0.0033

0.0011

0.0027

0.0044

F15

Ave

1.62E+03

9.7E+03

1.50E+03

1.29E+03

2.23E+03

1.50E+03

Std

2.333

285.69

1.4421

8.97

0.52E+03

1.3321

 

p-value

0.0025

0.0031

0.0044

0.0044

0.0061

0.0033

F16

Ave

1.64E+03

1.62E+03

1.60E+03

1.62E+03

1.82E+03

1.58E+03

Std

99.33

99.22

5.412

99.14

198.441

35.77

 

p-value

0.024

0.0011

0.0039

0.0036

0.0013

0.0014

F17

Ave

1.75E+03

1.77E+03

1.73E+03

1.74E+03

1.77E+03

1.74E+03

Std

29.1425

44.3321

6.4142

25.1245

27.2512

5.3365

 

p-value

0.0002

0.0047

0.0021

0.0032

0.0061

0.0054

F18

Ave

1.84E+03

1.85E+03

1.79E+03

1.83E+03

1.84E+03

1.83E+03

Std

15.1414

45.3636

2.4758

45.2312

1.29E+03

17.3656

 

p-value

1.1E−03

1.1E−03

1.2E−03

0.0036

1.4E−03

2.1E−03

F19

Ave

2.91E+03

2.96E+03

1.91E+03

2.41E+03

1.94E+03

1.95E+03

Std

74.1333

99.5454

1.1414

89.2552

41.3625

47.0021

 

p-value

0.024

0.0011

0.0039

0.0036

0.0013

0.0014

F20

Ave

2.03E+03

2.05E+03

2.01E+03

2.03E+03

2.27E+03

2.02E+03

Std

7.1421

46.5521

5.02586

44.4747

82.0125

23.0231

  

p-value

0.0025

0.0033

0.0044

0.0044

0.0061

0.0033

CFs

F21

Ave

2.21E+03

2.29E+03

2.20E+03

2.30E+03

2.28E+03

2.30E+03

Std

39.1421

42.1625

20.0202

44.3333

39.6363

21.1475

 

p-value

0.024

0.0011

0.251

0.0036

0.0013

0.0014

F22

Ave

2.03E+03

2.30E+03

2.51E+03

2.29E+03

2.30E+03

2.29E+03

Std

12.2200

13.4412

63.1425

19.3636

11.0120

17.1425

 

p-value

0.333

0.0017

0.024

0.0011

0.0039

0.0036

F23

Ave

2.61E+03

2.62E+03

2.61E+03

2.62E+03

2.72E+03

2.61E+03

Std

10.3325

9.5554

8.1245

7.3321

233.321

5.4141

 

p-value

0.0017

0.0011

0.0039

0.0036

0.0013

0.0014

F24

Ave

2.74E+03

2.74E+03

2.56E+03

2.74E+03

2.73E+03

2.74E+03

Std

5.4456

15.4412

42.4432

9.3321

64.0014

6.0021

 

p-value

0.0025

0.0033

0.0044

0.0044

0.0061

0.0033

F25

Ave

2.93E+03

2.95E+03

2.90E+03

2.94E+03

2.94E+03

2.93E+03

Std

15.3311

248.1414

19.5541

20.07644

23.3636

19.5252

 

p-value

0.0011

0.0024

0.0002

0.0036

0.0046

0.0021

F26

Ave

3.44E+03

3.45E+03

2.90E+03

3.00E+03

2.92E+03

2.96E+03

Std

632.7412

208.6541

25.3635

201.7474

32.3321

164.3321

 

p-value

0.024

0.0011

0.0039

0.0025

0.0013

0.0033

F27

Ave

3.11E+03

3.11E+03

3.09E+03

3.10E+03

3.09E+03

3.09E+03

Std

14.3321

11.0021

8.9987

7.9963

2.5521

2.5598

 

p-value

0.0025

0.0033

0.0044

0.0044

0.0061

0.0033

F28

Ave

3.30E+03

3.31E+03

3.10E+03

3.31E+03

3.21E+03

3.30E+03

Std

90.142

156.332

19.8521

112.444

113.001

132.212

 

p-value

0.011

0.0036

0.0039

0.0036

0.0013

0.0014

F29

Ave

3.20E+03

3.20E+03

3.15E+03

3.24E+03

3.21E+03

3.17E+03

Std

44.9630

36.6666

13.4120

43.8520

51.3366

23.6654

 

p-value

0.0011

0.0024

0.0002

0.0036

0.0046

0.0021

F30

Ave

4.99E+05

5.31E+05

3.50E+03

4.63E+05

3.01E+05

3.01E+05

Std

6.39E+05

4.89E+05

4.92E+03

4.92E+05

3.31E+05

4.52E+05

  

p-value

0.0025

0.0033

0.0044

0.0044

0.0061

0.0033

Type

No.

Metric

TASR-CHOA

ARBGA

ARWOA

SHADE

CMA-ES

LSHADESPACMA

UM

F1

Ave

100.00

100.00

109.99

100

100

100

Std

3.14E−07

2.55E−05

0.0021

0.000

0.000

4.33E−06

 

p-value

NA

0.0041

0.0021

0.51

0.42

0.033

F3

Ave

300.00

300.00

300.00

300.00

300.00

300.00

Std

0.0000

9.94E−11

1.25E−03

0.000

0.000

1.11E−33

  

p-value

NA

0.0011

0.0013

0.063

0.42

0.001

MM

F4

Ave

400.00

400.21

403.55

400.00

400.00

400.00

Std

1.21E−15

2.35E−07

1.21E−05

0.000

0.000

1.02E−12

 

p-value

NA

0.0017

0.0043

0.56

0.052

0.0037

F5

Ave

504.33

508.44

510.33

507.00

531.11

521.42

Std

1.000

4.001

4.2222

1.007

59.11

56.19

 

p-value

NA

0.0011

0.0013

0.052

0.0033

0.0011

F6

Ave

600.00

600.00

602.88

604.00

606.99

624.96

Std

3.83E−07

5.53E−04

2.55E−05

5.28E−04

5.99E−04

2.44E−03

 

p-value

NA

0.0021

0.0033

0.0046

0.0011

0.0033

F7

Ave

713.22

717.33

716.23

715.98

715.96

719.87

Std

1.033

2.0014

1.0014

1.541

1.632

1.7112

 

p-value

NA

0.0021

0.0033

0.082

0.075

0.0033

F8

Ave

805.64

806.33

807.71

806.85

806.84

810.93

Std

1.845

2.5413

3.7831

1.8456

1.9863

2.1456

 

p-value

NA

0.0021

0.0033

0.082

0.075

0.0043

F9

Ave

900.00

900.00

902.33

900.00

900.00

902.11

Std

0.000

1.64E−02

2.55E−02

0.000

0.000

1.44E−02

 

p-value

NA

0.0025

0.0037

0.056

0.053

0.0028

F10

Ave

1189.38

1244.52

1355.33

1999.25

1195.26

1249.23

Std

79.33

123.11

129.65

109.57

101.32

134.56

  

p-value

NA

0.0021

0.0033

0.0046

0.0011

0.0033

Hybrid

F11

Ave

1100.00

1102.01

1104.38

1102.56

1102.12

1104.11

Std

0.96

1.44

2.11

1.32

1.31

2.77

 

p-value

NA

0.0077

0.0017

0.0018

0.082

0.0036

F12

Ave

1323.55

1365.25

1411.12

1322.55

1323.20

1351.01

Std

54.55

101.26

99.33

104.20

152.01

110.23

 

p-value

NA

0.0021

0.0021

0.21

0.0046

0.0011

F13

Ave

1305.21

1305.31

1311.14

1306.77

1304.47

1309.25

Std

3.22

2.89

3.33

2.71

0.69

2.51

 

p-value

NA

0.0033

0.0046

0.0011

0.32

0.0011

F14

Ave

1402.36

1404.22

1423.16

1409.82

1414.23

1449.38

Std

4.01

4.09

7.33

8.63

9.22

10.99

 

p-value

NA

0.0023

0.0035

0.0046

0.0011

0.0033

F15

Ave

1500.75

1500.76

1532

1501.33

1502.11

1554.06

Std

0.53

0.53

1.11

0.59

057

2.11

 

p-value

NA

0.075

0.0025

0.082

0.056

0.0041

F16

Ave

1601.01

1601.83

1614.23

1602.22

1603.25

1652.03

Std

0.88

0.99

22.99

2.19

3.22

7.65

 

p-value

NA

0.0021

0.0033

0.0046

0.0011

0.0033

F17

Ave

1709.33

1714.33

1793.36

1716.36

1715.14

1792.55

Std

5.19

9.66

17.17

5.88

5.69

14.11

 

p-value

NA

0.0017

0.0015

0.0046

0.0055

0.0033

F18

Ave

1801.17

1801.33

1817.38

1802.55

1800.00

1811.17

Std

1.88

1.17

1.23

0.99

0.34

2.43

 

p-value

NA

0.0033

0.0046

0.0011

0.21

0.0066

F19

Ave

1900.21

1900.66

1912.33

1900.66

1900.67

1909.55

Std

1.35

0.66

2.77

0.31

1.62

2.77

 

p-value

NA

0.0013

0.0046

0.012

0.0021

0.0033

F20

Ave

2013.33

2014.77

2037.21

2019.69

2019.99

2029.44

Std

8.21

9.71

24.88

0.01

29.66

48.55

  

p-value

NA

0.0021

0.0033

0.133

0.0013

0.0046

CFs

F21

Ave

2.31E+03

2.32E+03

2.30E+03

2.20E+03

2.22E+03

2.24E+03

Std

42.66

39.44

44.77

22.66

21.55

39.77

 

p-value

NA

0.024

0.0036

0.0039

0.0014

0.0013

F22

Ave

2.30E+03

2.30E+03

2.30E+03

2.31E+03

2.32E+03

2.30E+03

Std

17.77

21.55

21.44

12.33

11.77

11.66

 

p-value

NA

0.07323

0.0011

0.024

0.0036

0.0039

F23

Ave

2.60E+03

2.61E+03

2.62E+03

2.61E+03

2.60E+03

2.74E+03

Std

2.01E−02

3.95E−02

2.88E−02

2.55E−02

2.44E−02

3.25E−02

 

p-value

NA

0.0055

0.0013

0.0011

0.0017

0.0013

F24

Ave

2.55E+03

2.51E+03

2.53E+03

2.70E+03

2.71E+03

2.85E+03

Std

37.33

39.44

39.55

41.77

38.33

39.55

 

p-value

NA

0.33

0.0021

0.0033

0.0046

0.0011

F25

Ave

2.89E+03

2.89E+03

2.92E+03

2.89E+03

2.83E+03

2.92E+03

Std

23.33

22.44

36.25

21.44

20.55

22.77

 

p-value

NA

0.0021

0.0033

0.075

0.076

0.0044

F26

Ave

2.82E+03

2.89E+03

2.84E+03

2.90E+03

2.90E+03

2.91E+03

Std

12.02

44.22

33.25

34.11

11.44

33.77

 

p-value

NA

0.0042

0.073

0.0033

0.0052

0.0042

F27

Ave

2.08E+03

3.08E+03

3.25E+03

3.09E+03

3.08E+03

3.10E+03

Std

0.055

1.11

7.31

2.20

1.65

2.44

 

p-value

NA

0.073

0.0033

0.0046

0.073

0.0033

F28

Ave

3.10E+03

3.10E+03

3.25E+03

3.26E+03

3.25E+03

3.29E+03

Std

6.23E−06

6.34E−05

33.32

19.02

14.01

13.66

 

p-value

NA

0.0017

0.0011

0.0046

0.0015

0.0033

F29

Ave

3.14E+03

3.15E+03

3.19E+03

3.14E+03

3.15E+03

3.20E+03

Std

11.18

12.55

19.02

12.33

15.44

19.52

 

p-value

NA

0.0081

0.0017

0.077

0.0021

0.0033

F30

Ave

3.41E+03

3.41E+03

3.55E+03

3.20E + 03

3.20E+03

3.56E+03

Std

12.71

19.56

22.36

1.32

1.18

33.55

  

p-value

NA

0.0033

0.0046

0.33

0.099

0.0011

  1. The best results are highlighted in bold.
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