Using GA can I put a condition on Population?
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I am using GA, with nvars=32 and IntCon=1:32, so 32 integers
lb=[zeros(1,16),zeros(1,16)];
ub=[60*ones(1,16),4*ones(1,16)]
I want the first 16 elements be ascending and the last 16 elements no matter the order, and both of them respect the lb and ub.
Is there any way to obligate the population be between 0-60 with ascending order for the first 16 elements? (this 16 elements represent time so I can't have one value greater than the next value).
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Alan Weiss
il 4 Mag 2022
Sure, that is a simple linear inequality constraint. Probably easiest to represent using the problem-based formulation, but do what you like. In solver-based:
A = zeros(15,32);
for i = 1:15
A(i,i) = 1;
A(i,i+1) = -1; % means x(i) - x(i+1) <= 0
end
end
b = zeros(15,1);
You can use sparse matrices and MATLAB constructs to make this matrix, but this is fast enough.
Alan Weiss
MATLAB mathematical toolbox documentation
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Rim Abdallah
il 5 Mag 2022
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Alan Weiss
il 5 Mag 2022
Please check your answer against the linear constraint. What do you get when you run
A*x'
When I tried this against your reported x I get a vector whose first value is 27 (=36 - 9). A*x' should consist entirely of nonpositive numbers. So clearly the linear constraints are not being satisfied.
Did you get a positive exit flag from the optimization? I guess not. The solution is infeasible.
Alan Weiss
MATLAB mathematical toolbox documentation
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