Table 12 A comparative analysis of the engineering application results with other algorithms.

From: Multi-strategy collaborative optimization of gravitational search algorithm

Project

Algorithm

Best

Std

Mean

Rank

p-value

Weight minimization of a speed reducer

IMSGSA

2994.42446576

1.06e-09

2994.42446576

1

~

GSA

3075.34587202

141.60

3311.66949672

12

2.91e-11

HGSA

3022.86695451

36.53

3088.37239290

8

2.91e-11

HSSOGSA

2997.97811920

368.51

3220.89570796

10

2.91e-11

LCGSA

3119.75403807

143.41

3328.20497454

13

2.91e-11

MACGSA

3088.37373709

37.64

3165.76770936

9

2.91e-11

GPSOGSA

3005.13078988

13.53

3021.38140273

7

2.91e-11

SCGSA

3119.25115941

103.95

3271.27089106

11

2.91e-11

ROA

3016.55434248

2.94e + 12

811298800012.79

14

2.91e-11

SMA

2994.42446671

2.76e-06

2994.42447006

2

2.91e-11

GJO

2996.29157141

4.049

3003.93382093

6

2.91e-11

GBO51

2994.43572592

1.023

2994.68943774

3

2.91e-11

EO52

2994.60929872

8.17

2999.11080687

4

2.91e-11

RUN53

2995.11217467

3.48

2999.36410369

5

2.91e-11

Gear train design problem

IMSGSA

0

0

0

1

~

GSA

7.70e-34

8.69e-30

5.12e-30

4

1.21e-12

HGSA

0

0

0

1

NAN

HSSOGSA

6.93e-33

3.29e-26

6.02e-27

6

1.21e-12

LCGSA

9.10e-24

3.38e-18

1.84e-18

8

1.21e-12

MACGSA

4.94e-24

8.83e-21

3.69e-21

7

1.21e-12

GPSOGSA

0

9.83e-27

2.48e-27

5

5.76e-11

SCGSA

0

3.08e-33

1.85e-33

3

5.12e-06

ROA

5.90e-16

8.80e-13

4.24e-13

12

1.21e-12

SMA

1.32e-18

1.38e-13

3.02e-14

10

1.21e-12

GJO

1.25e-18

6.22e-14

3.58e-14

11

1.21e-12

GBO51

8.39e-20

1.200e-14

4.27e-15

9

1.21e-12

EO52

0

3.16e-12

1.05e-12

13

1.66e-11

RUN53

8.25e-15

3.40e-12

1.34e-12

14

1.21e-12

Multiple disk clutch brake design problem

IMSGSA

0.2352424

1.41e-16

0.2352424579

1

~

GSA

0.2389877690

0.0043

0.2458250891

12

1.21e-12

HGSA

0.2362198960

0.0052

0.2459113887

13

1.21e-12

 

HSSOGSA

0.2359294137

0.0076

0.2456495531

11

1.21e-12

LCGSA

0.2374847963

0.0036

0.2424637205

9

1.21e-12

MACGSA

0.2365114525

0.0030

0.2414448961

8

1.21e-12

GPSOGSA

0.2391181223

0.0073

0.2478393682

14

1.21e-12

SCGSA

0.2376348310

0.0026

0.2413850799

7

1.21e-12

ROA

0.2352426126

0.0204

0.2429782054

10

1.21e-12

SMA

0.2352424579

7.80e-12

0.2352424579

2

1.21e-12

GJO

0.2352426667

3.50e-06

0.2352480071

6

1.21e-12

GBO51

0.2352424579

3.62e-09

0.2352424592

4

1.21e-12

EO52

0.2352424579

5.07e-09

0.2352424590

3

1.93e-10

RUN53

0.2352426496

2.25e-06

0.2352456949

5

1.21e-12

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