Table 3 Result of the algorithms in the functions in CEC2017 as D = 30.

From: A novel extraction model optimization with effective separation coefficient for rare earth extraction process using improve differential evolution

 

PSO (means/STD)

JADE

APSM-jSO

COBiDE

SNDE

DEwDVR

LCTADE

CC-LCTADE

1

1.81E+03/1.50E+02

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

2

3.00E+09/8.09E+10

- -/- -

- -/- -

- -/- -

- -/- -

- -/- -

- -/- -

- -/- -

3

3.42E-08/1.80E-07

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

7.86E-05/2.46E-04

0.00E+00/0.00E+00

0.00E+00/0.00E+00

4

6.73E+01/6.17E+01

5.73E+01/3.57E+01

5.75E+01/8.25E+00

4.90E+01/2.26E+01

0.00E+00/0.00E+00

5.62E+01/1.44E+01

7.40E+01/1.00E+01

7.06E+01/1.03E+01

5

9.22E+01/9.98E+00

5.45E+01/7.92E+00

1.74E+01/2.73E+00

4.16E+01/1.01E+01

1.26E+01/2.09E+00

4.00E+01/1.67E+01

8.46E+00/1.53E+00

9.78E+00/1.59E+00

6

9.87E-08/6.15E-08

8.44E-08/3.85E-08

3.62E-08/1.56E-07

2.32E-08/3.32E-08

1.18E-08/5.25E-08

1.34E-07/3.31E-07

0.00E+00/0.00E+00

0.00E+00/0.00E+00

7

8.17E+01/6.51E+00

7.67E+01/5.91E+00

4.77E+01/2.68E+00

7.08E+01/1.10E+01

4.33E+01/1.96E+00

8.11E+01/1.91E+01

4.04E+01/1.54E+01

4.00E+01/1.48E+00

8

5.66E+01/6.17E+00

4.96E+01/5.77E+00

1.82E+01/2.81E+00

4.49E+01/1.16E+01

1.36E+01/1.89E+00

4.23E+01/1.77E+01

8.61E+00/1.59E+00

9.92E+00/1.30E+00

9

2.16E+02/6.84E+01

1.26E+02/6.04E+01

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

0.00E+00/0.00E+00

10

2.84E+03/2.67E+02

2.14E+03/2.00E+02

1.75E+03/2.18E+02

2.34E+03/4.34E+02

2.32E+03/5.81E+02

3.38E+03/9.01E+02

2.30E+03/2.62E+02

2.26E+03/2.18E+02

11

2.53E+02/7.32E+01

1.73E+02/6.82E+01

3.48E+01/2.91E+01

3.49E+01/2.22E+01

3.71E+02/5.40E+01

2.21E+01/2.20E+01

3.26E+01/2.65E+01

3.01E+01/2.48E+01

12

1.87E+06/4.12E+05

1.06E+06/3.94E+05

2.08E+03/2.52E+03

5.98E+03/7.37E+03

4.26E+03/5.51E+03

4.05E+03/5.15E+03

4.93E+02/1.86E+02

4.21E+02/2.25E+02

13

1.99E+05/6.98E+04

1.78E+05/6.38E+04

1.66E+02/1.65E+02

2.30E+01/9.03E+00

6.26E+01/7.08E+01

3.59E+01/1.70E+01

2.69E+01/1.17E+01

2.57E+01/8.09E+00

14

8.18E+04/5.11E+04

7.79E+04/4.71E+04

3.51E+01/8.21E+00

1.92E+01/1.18E+01

2.60E+01/8.33E+00

3.01E+01/1.35E+01

2.34E+01/2.00E+00

2.37E+01/1.56E+00

15

3.45E+04/2.32E+04

3.20E+04/1.90E+04

3.57E+01/2.65E+01

8.84E+00/3.92E+00

1.83E+00/1.08E+00

7.00E+00/4.00E+00

9.78E+00/2.24E+00

9.00E+00/2.02E+00

16

6.65E+02/1.98E+02

6.19E+02/1.23E+02

2.20E+02/1.04E+02

4.97E+02/2.08E+02

9.48E+02/3.37E+02

8.85E+02/3.23E+02

2.44E+02/1.14E+02

3.17E+02/9.97E+01

17

1.84E+02/4.34E+01

1.28E+02/4.18E+01

4.55E+01/1.10E+01

1.14E+02/8.93E+01

4.24E+01/8.35E+01

2.18E+02/1.36E+02

5.53E+01/8.70E+00

5.46E+01/8.80E+00

18

3.84E+05/2.02E+05

2.64E+05/1.20E+05

1.44E+02/7.57E+01

2.33E+01/5.18E+00

3.11E+01/3.71E+01

2.31E+02/6.67E+00

2.30E+01/1.44E+00

2.31E+01/1.53E+00

19

3.25E+04/2.06E+04

2.64E+04/1.35E+04

1.99E+01/1.09E+01

5.53E+00/1.97E+00

9.44E+00/5.37E+00

5.65E+00/2.62E+00

8.86E+00/1.89E+00

8.57E+00/2.06E+00

20

2.15E+02/5.98E+01

1.69E+02/5.19E+01

6.81E+01/4.66E+01

9.18E+01/8.37E+01

1.32E+02/8.71E+01

1.52E+02/1.15E+02

9.03E+01/3.57E+01

8.40E+01/3.53E+01

21

2.44E+02/4.81E+01

2.23E+02/4.33E+01

2.19E+02/3.15E+00

2.42E+02/1.08E+01

2.14E+02/2.41E+00

2.41E+02/1.93E+01

2.10E+02/1.73E+00

2.10E+02/1.31E+00

22

1.65E+02/3.16E+00

1.22E+02/1.92E+00

1.00E+02/0.00E+00

1.36E+03/1.40E+03

1.00E+02/0.00E+00

1.56E+03/1.91E+03

1.00E+02/0.00E+00

1.00E+02/0.00E+00

23

4.02E+02/1.05E+01

4.02E+02/7.55E+00

3.69E+02/3.91E+00

3.93E+02/1.40E+01

3.72E+02/9.93E+00

3.95E+02/1.57E+01

3.54E+02/2.77E+00

3.54E+02/3.41E+00

24

4.99E+02/4.75E+01

4.96E+02/2.75E+01

4.41E+02/3.72E+00

4.63E+02/1.38E+01

4.44E+02/1.59E+01

4.66E+02/1.88E+01

4.30E+02/1.70E+00

4.30E+02/1.84E+00

25

3.91E+02/6.39E+00

3.87E+02/5.79E-01

3.87E+02/2.26E-01

3.87E+02/4.76E-02

4.79E+02/2.37E+01

3.87E+02/3.78E-02

3.87E+02/1.96E-02

3.86E+02/1.77E-02

26

1.28E+03/5.43E+02

1.03E+03/4.36E+02

1.12E+03/4.77E+01

1.48E+03/1.45E+02

1.37E+03/4.89E+02

1.34E+03/1.66E+02

1.03E+03/3.74E+01

1.02E+03/3.78E+01

27

5.65E+02/5.87E+00

5.09E+02/3.52E+00

5.09E+02/7.63E+00

4.97E+02/7.48E+00

1.41E+03/1.57E+02

4.97E+02/1.01E+00

5.14E+02/1.11E+01

4.98E+02/6.47E+00

28

4.86E+02/4.43E+01

4.31E+02/4.84E+00

3.40E+02/6.20E+01

3.23E+02/4.42E+01

1.14E+03/3.04E+02

3.33E+02/5.46E+01

3.69E+02/4.46E+01

3.47E+02/5.13E+01

29

5.75E+02/8.79E+01

5.29E+02/5.12E+01

4.61E+02/2.72E+01

4.89E+02/8.60E+01

1.51E+03/3.55E+02

4.83E+02/7.57E+01

4.59E+02/1.51E+01

4.50E+02/1.74E+01

30

3.89E+04/6.43E+03

1.96E+04/5.85E+03

2.17E+03/1.66E+02

2.05E+03/7.80E+01

2.01E+03/6.65E+01

2.01E+03/6.63E+02

1.98E+03/4.90E+01

1.97E+03/3.69E+01

Nob

0

2

8

8

8

5

17

24