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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
. The  problem has two objectives: objective 1 - maximize user utility given by  and objective 2 - minimize
 and objective 2 - minimize   , a loss funcstion associated with a user for providing his the resource. Here
 , a loss funcstion associated with a user for providing his the resource. Here  is the allocation to
 is the allocation to  user and
 user and   and
 and  are  constants. The problem has two constraints
 are  constants. The problem has two constraints  (allocaton is ≤ demand) and
 (allocaton is ≤ demand) and  (sum of all allocations equals total available resource). Overall, I need to maximize aggregate system utility (
 (sum of all allocations equals total available resource). Overall, I need to maximize aggregate system utility ( ) and minimize aggregate loss (
) 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.
). 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.
 . The  problem has two objectives: objective 1 - maximize user utility given by
. The  problem has two objectives: objective 1 - maximize user utility given by  and objective 2 - minimize
 and objective 2 - minimize   , a loss funcstion associated with a user for providing his the resource. Here
 , a loss funcstion associated with a user for providing his the resource. Here  is the allocation to
 is the allocation to  user and
 user and   and
 and  are  constants. The problem has two constraints
 are  constants. The problem has two constraints  (allocaton is ≤ demand) and
 (allocaton is ≤ demand) and  (sum of all allocations equals total available resource). Overall, I need to maximize aggregate system utility (
 (sum of all allocations equals total available resource). Overall, I need to maximize aggregate system utility ( ) and minimize aggregate loss (
) 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.
). 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.0 Kommentare
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