Article ID Journal Published Year Pages File Type
476998 European Journal of Operational Research 2011 4 Pages PDF
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.

► The paper solves a natural special case of the knapsack problem. ► The paper unifies several ideas and methods from the area. ► The paper uses an IP-formulation in a novel way.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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