Optimization problem using gamultiobj

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user3490
user3490 2020년 2월 23일
댓글: Alan Weiss 2020년 2월 25일
The goal is to find the pareto front of a problem using the following equations and constraints:
Equation 1:
Equation 2: (calulates the magnitude of C, D, and E once they are scaled by vector X)
F = sqrt( abs(C(:,1)*X(1) - C(:,2)*X(1)*X(2) + C(:,3)*X(3) + C(:,4)*X(3)*X(4)) ^ 2 +...
abs (D(:,1)*X(1) - D(:,2)*X(1)*X(2) + D(:,3)*X(3) + D(:,4)*X(3)*X(4)) ^ 2 +...
abs (E(:,1)*X(1) - E(:,2)*X(1)*X(2) + E(:,3)*X(3) + E(:,4)*X(3)*X(4)) ^ 2 )
where A3, A13, A23, Q, A34 are constant scalars, j is a complex number, and vectors C, D, and E are complex column vectors (e.g. C(:,1) has the size 100 * 1)
The constraints:
X(1) <= A constant value (JJ)
X(2) <= 1
X(3) <= A constant value (JJ)
X(4) <= 1
S >= some value
max(F) <= another value
Is this possible to be implemented using gamultiobj function?
  댓글 수: 1
Alan Weiss
Alan Weiss 2020년 2월 25일
I am not sure what your objectives are. And I am not sure if all of your objectives are real-valued. If you have real-valued objectives, then you can probably use gamultiobj, with a nonlinear constraint representing the lower bound on S and the upper bound on F.
Good luck,
Alan Weiss
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