Skip to main content

Table 3 Comparison results of ATMDE and AATM on 18 benchmark test functions

From: Improved Differential Evolution with Shrinking Space Technique for Constrained Optimization

Function

Best solution f best

Mean solution μ f

Worst solution f worst

Standard deviation σ f

ATMDE

AATM

ATMDE

AATM

ATMDE

AATM

ATMDE

AATM

g01

−15.000

−15.000

−15.000

−15.000

−15.000

−15.000

0

3.1 × 10−7

g02

−0.803 617

−0.803 38

−0.803 617

−0.791 21

−0.803 61

−0.767

1.2 × 10−6

8.6 × 10−3

g03

−1.005 00

−1.00

−1.005 00

−1.00

−1.005 00

−1.00

2.1 × 10−9

3.5 × 10−4

g04

−30 665.539

−30 665.5

−30 665.539

−30 665.5

−30 665.5

−30 665.5

1.1 × 10−11

1.0 × 10−4

g05

5 126.496 7

5 126.498

5 126.496 71

5 126.714

5 126.496 7

5 128.824

1.0 × 10−12

4.3 × 10−1

g06

−6 961.814

−6 961.81

−6 961.814

−6 961.81

−6 961.81

−6 961.81

1.6 × 10−12

7.1 × 10−12

g07

24.306 209

24.307

24.306 209

24.317

24.306 209

24.356

2.2 × 10−8

1.3 × 10−2

g08

−0.095 825

−0.095 82

−0.095 825

−0.095 82

−0.095 82

−0.095 82

2.6 × 10−17

5.8 × 10 18

g09

680.630

680.630

680.630 05

680.639 4

680.630 05

680.646

4.6 × 10-13

4.5 × 10−3

g10

7 049.248

7 049.603

7 049.2480 2

7 077.477

7 049.248

7 183.295

8.7 × 10−7

3.1 × 101

g11

0.74990

0.75

0.7499

0.75

0.7499

0.75

1.0 × 10−7

3.8 × 10−6

g12

−1.000

−1.000

−1.000

−1.000

−1.000

−1.000

0

0

g14

−47.764 888

−47.762

−47.764 888

−47.750

−47.764 8

−47.712

1.9 × 10−10

1.0 × 10−2

g15

961.715

961.715

961.715

961.715

961.715 02

961.716

6.9 × 10−13

3.0 × 10−4

g16

−1.905 155

−1.905 15

−1.905 155

−1.905 15

−1.905 15

−1.905 15

6.8 × 10−16

2.4 × 10−14

g18

−0.866 025

−0.866 02

−0.866 025

−0.865 95

−0.866 02

−0.864 84

7.5 × 10−10

2.1 × 10−4

g19

32.655 63

32.725

32.655 86

32.952

32.657 25

33.243

3.8 × 10−4

1.4 × 10−1

g24

−5.508 01

−5.508 01

−5.508 01

−5.508 01

−5.508 01

−5.508 01

3.7 × 10−15

1.8 × 10−15

w/t/l

8/10/0

 

11/7/0

 

11/7/0

 

15/1/2