Dependent Variable operations?
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Hello Everyone,
I am working on an optimization problem using genetic algorithm solver. I have 2 decision variables (x with 36x36 dimensions and y with 36x1 dimensions ). y is dependent to x. Like;
column sum of x is equal to row of y.
I introduced x and y like;
x = optimvar('x', [36,36], 'Type', 'integer', 'LowerBound',0,'UpperBound',1);
y = optimvar('y', [36,1]);
But i have a hard time doing the operation i want to do. How can i implement this (column sum of x is equal to row of y. ) into my code?
Any suggestions and opinions are welcome.
Thank you in advance!
Best,
Beyza.
7 Kommentare
Torsten
am 3 Apr. 2022
Bearbeitet: Torsten
am 4 Apr. 2022
Aeq = zeros(36,36*36+36);
for i = 1:36
Aeq(i,(i-1)*36+1:i*36) = ones(1,36);
Aeq(i,36*36+i) = -1;
end
This gives the contribution of the constraint sum_i (xij) - y(j) = 0 for j=1,...,36 to Aeq if the vector of unknowns Z is ordered as
Z = [x11,x21,x31,...,x(36,1),x12,x22,x32,...,x(36,2),...,x(1,36),x(2,36),...,x(36,36),y1,y2,...,y36]
The corresponding part of the vector beq is
beq(1:36,1) = zeros(36,1)
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