Unbounded knapsack problems with arithmetic weight sequences

Vladimir G. Deineko and Gerhard J. Woeginger

European Journal of Operational Research, 2011, vol. 213, issue 2, 384-387

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(n8), 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.

Keywords: Combinatorial; optimization; Computational; complexity; Dynamic; programming; Polynomially; solvable; special; case (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:213:y:2011:i:2:p:384-387

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