define a dummy decision variable for optimization problem

Dear All,

i want to define a matrix "Ld" of decision variables whose the size of matix "Ld" is not fixed, it is a function on "m", wheares "m" is ,itself, one of the decision variables and could have any number from 1 : 3. thus, next matrix contains all possible elements of Ld

Ld = [x(1:j) ; x(j+1:2*j); x(2*j+1:3*j); x(3*j+1:4*j); x(4*j+1:5*j);x (5*j+1:6*j)]

Ld_L = Ld(1:m,1:j);

Ld_R = Ld(1+m : 2*m,1:j);

Ld has no any contribution in calculations. only Ld_L and Ld_R are participating on calculations

if m <3 then the rest of elements of Ld are not used

note, their are other decision variables with index starting from X(6*j + 1) but i dont mention them here.

my question is,what is the impact of the other elements of Ld, which are not used on calculation in case m < 3, but they are defined as deciosno variable for the optimization algorithm, since they are part of X matrix,

Answer 1

[Alan Weiss]

It sounds to me as if the best approach is to solve three separate optimization problem, one for each value of m, and compare those three solutions.

Alan Weiss

MATLAB mathematical toolbox documentation

[Nourhan Elsayed]

Thank you Alan You gave me a good suggestion, i will try it and see.