Solving an optimization problem using fmincon

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Behzad Eydiyoon
Behzad Eydiyoon 2021-8-22
评论： Behzad Eydiyoon 2021-8-23
Can anyone help me to solve this? I do not know how to use the contraint on C3 and how to implement ri in it!

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Alan Weiss
Alan Weiss 2021-8-22
I think that this is a straightforward problem is you use the problem-based optimization workflow, which requires a relatively recent version of Optimization Toolbox™.
Alan Weiss
MATLAB mathematical toolbox documentation
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Alan Weiss
Alan Weiss 2021-8-23
So you were able to program it. Good for you!
Now let's look at your constraints:
cons1 = sum(x) <= 10;
cons2 = sum(r.*x) >= 10;
The r variable has all entries between 0 and 1, and the x variable is nonnegative. Therefore, for any x satisfying cons1, the value of sum(r.*x) is smaller. Therefore your constraints are inconsistent.
Alan Weiss
MATLAB mathematical toolbox documentation

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