Presenting a Multi-Start Hybrid Heuristic for Solving the Problem of Two-Echelon Location-Routing Problem with Simultaneous Pickup and Delivery (2E-LRPSPD)

Algorithm 2

PR procedure PR ..

1 if then

2  for ←1 to do

3   ;

4   if then

5     Add copies at the end of ;

6   else if then

7    Add copies at the end of ;

8   end if

9   end for

10 end if

11 ;

12 while do

13  seek a customer such that ;

14   if found then

15   swap and in ;

16   else

17    /Here , ;

18   seek an index such that ;

19    if satellite occurs in then

20   seek index such that ;

21     if found then

22    Swap and ;

23     else

24     ;

25     end if

26    else

27     ;

28    end if

29   end if

30   Select at random in ;

31   if ( is unfeasible) and then

32    repair ();

33   end if

34   if feasible then

35   deduce an 2E-LRP solution from ;

36    if then

37   improve using LS2;

38    if then

39     improve using VND;

40      end if

41     end if

42    if then

43   

44    end if

45   end if

46 end while