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Constraint satisfaction in a resource allocation problem optimized using evolutionary algorithms
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I am working on a allocation problem where a resource R needs to be allocated to n users each with demand
. The problem has two objectives: objective 1 - maximize user utility given by
and objective 2 - minimize
, a loss funcstion associated with a user for providing his the resource. Here
is the allocation to
user and
and
are constants. The problem has two constraints
(allocaton is ≤ demand) and
(sum of all allocations equals total available resource). Overall, I need to maximize aggregate system utility (
) and minimize aggregate loss (
). I am using evolutionary algorithm for this problem. But, after the evolution is complete, the algorithm leaves unallocated resoruce while there is still unmet user demand. I am curious if it is a expected outcome or it is due to some algorithmic or implementation flaw. I would appreciate any guidace.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271218/image.png)
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![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271221/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271222/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271223/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271218/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271224/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271225/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271226/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/271227/image.png)
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