How can i implement a second decision variable which is not in the objective function?
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hello everyone,
I am working on an optimization problem where i have 2 decision variable. One of the variable is xij, which is directly in the objective function, other one is yj, which is not in the objective function, it is in my constraints. yj is dependent to xij.
xij is an binary variable where i want solver to decide if xij is 1 or 0, and yj is the row summation of xij. here is an example;
lets say that the solver gave me a solution for xij like this;
x = [ 1 0 1 1; 0 0 1 0; 1 1 0 0]
i want yj to be column or a row vector it does not matter (preferably column)
yj = [ (1 +0 +1=) 2 ; (0 + 0+ 1=) 1; (1+1+0=)2 ; (1+0+0=)1]
I have other constraints where i use yj.
here is my model; (p=67) (M is some large number like 1000)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/942634/image.png)
My first question is that; can i do this kind of an operation?
second Q : how can i do this?
Ps: I am using genetic algorithm solver!
thak you in advance!
Best,
Beyza.
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