Abstract

The multiple-choice multi-period knapsack problem lies on the interface of multiple choice programming and knapsack problems. Previous study of this problem attempted to find its optimal solution through the branch-and-bound procedure using special-orderedsets. In this paper, we propose another solution approach based on the dynamic programming to locate its optimal solution through recursive evaluation of Bellman's equation at each period. We also introduce a set of concise computer code written in IBM's APL2 that solves the problem recursively. Based on this developed APL2 codes, a computational experiment was conducted to further examine the performance of this dynamic programming solution approach.

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