Abstract

The complete set partitioning (CSP) problem is a special case of the set partitioning problem where the coefficient matrix has 2 m −1 columns, each column being a binary representation of a unique integer between 1 and 2 m −1,m⩾1. It has wide applications in the area of corporate tax structuring in operations research. In this paper we propose a dynamic programming approach to solve the CSP problem, which has time complexityO(3 m ), wheren=2 m −1 is the size of the problem space.

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