How can I add constraint on variable in genetic algorithm which can take both discrete and continuous values.
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Hi everyone,
I am trying to solve an optimization problem using genetic algorithm. I am using the standard function "ga" for this. In the problem, the decision variable can take both discrete and continous values.
For example: Let a be the decision variable, it can take following values
a = {0, 1, 2, 6, 7,} and 45 <= a <= 85.
How can I represent this in [lb <= a <= ub]?
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Sky Sartorius
2020년 2월 25일
Can you tell us more about the application? Does this decision variable represent anything physical in the real world?
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Alan Weiss
2020년 2월 25일
You can represent this 0-or-in-a-range type of constraint by using an auxiliary variable. Suppose that your variable z can be in the continuous range [1,2] or else it can be zero (this is perfectly general by scaling the range). Set y = 0 means the variable is 0, or y = 1 means the variable is in its range. Then take y as an integer binary variable and x = y*z and minimize f(x).
Alan Weiss
MATLAB mathematical toolbox documentation
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