Unbounded knapsack problems with arithmetic weight sequences

Unbounded knapsack problems with arithmetic weight sequences

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Article ID: iaor20115400
Volume: 213
Issue: 2
Start Page Number: 384
End Page Number: 387
Publication Date: Sep 2011
Journal: European Journal of Operational Research
Authors: ,
Keywords: knapsack problem
Abstract:

We investigate a special case of the unbounded knapsack problem in which the item weights form an arithmetic sequence. We derive a polynomial time algorithm for this special case with running time O(n 8), where n denotes the number of distinct items in the instance. Furthermore, we extend our approach to a slightly more general class of knapsack instances.

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