Integer optimization with penalized fractional values: The Knapsack case.
European Journal of Operational Research(2019)
摘要
•We consider a variant of the knapsack problem with penalized fractional items.•We present mathematical models, and exact algorithms based on dynamic programming.•We introduce approximate and heuristic algorithms.•The proposed approaches proved successful on a large benchmark of hard instances.
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关键词
Packing,Knapsack problem,Dynamic programming,Approximation algorithms,Computational experiments
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