Table 11 Engineering application results of multi-strategy effectiveness analysis.

From: Multi-strategy collaborative optimization of gravitational search algorithm

Project

Algorithm

Best

Std

Mean

Rank

p-value

Weight minimization of a speed reducer

IMSGSA

2994.42446575

1.06e-09

2994.42446575

1

~

GSA

3075.34587202

141.6031

3311.66949672

6

2.92e-11

SSAGSA

3081.26822887

85.1482

3244.07599106

5

2.92e-11

LeGSA

2994.42446576

1.6459

2995.02732537

2

0.02

GbGSA

3021.29524290

16.0582

3045.38546677

3

2.92e-11

LoGSA

3000.11048782

49.6399

3023.17883536

4

2.92e-11

Gear train design problem

IMSGSA

0

0

0

1

~

GSA

7.70e-34

8.70e-30

5.12e-30

5

1.21e-12

SSAGSA

0

6.76e-30

2.73e-30

4

4.54e-12

LeGSA

0

0

0

1

NAN

GbGSA

8.85e-29

3.63e-23

8.80e-24

6

1.21e-12

LoGSA

3.08e-33

3.24e-30

1.77e-30

3

1.20e-12

Multiple disk clutch brake design problem

IMSGSA

0.23524245790

1.42e-16

0.23524245790

1

~

GSA

0.23898776902

0.0043

0.24582508914

5

1.21e-12

SSAGSA

0.25078171847

0.0079

0.26248211810

6

1.21e-12

LeGSA

0.23524245790

0.0083

0.24184451604

4

5.36e-06

GbGSA

0.23571534715

0.0014

0.23799936556

3

1.21e-12

LoGSA

0.23524257363

9.42e-05

0.23531070539

2

1.21e-12