A Multistrategy-Based Multiobjective Differential Evolution for Optimal Control in Chemical Processes

Algorithm 2

The main truncating process by the CCE process.

Input: The external population with solutions

Output: The truncated external population with solutions

1: Let ;

2: for each do

3:  Calculate the Euclidean distance between and , where ;

4:  Sort , , in ascending order;

5:  Add the first values and the corresponding solutions as

   records into ;

6: end for

7: while do

8:  Find the record with minimal distance in and denote this value as

    and the corresponding two solutions as and , respectively;

9:  Remove this record from ;

10:  Find the record with minimal distance values associated with and

    in , respectively; denote the values as and , respectively;

11: if then

12:   Remove from

13:   Remove all records associated with in

14: else

15:   Remove from

16:   Remove all records associated with in

17:  end if

18:  

19: end while