A STRONGLY POLYNOMAL- TIME ALGORITHM FOR A CLASS OF INTEGER PROGRAMMING PROBLEMS

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Vo Van Tuan Dung

Abstract

In this paper a strongly polynomial-time algorithm is proposed for


solving exactly a class of integer programming problems which is basically


to minimize the pointwise maximum of n affine functions under m semi


assignment constraints and upper bound constraints. The algorithm is


based on a numbering technique for improving feasible solutions.

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