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arXiv · 2006.10223

A Gilmore-Gomory-Type Construction of Integer Programming Value Functions

Seth Brown·Wenxin Zhang·Temitayo Ajayi·Andrew Schaefer
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Abstract

In this paper, we analyze how sequentially introducing decision variables into an integer program (IP) affects the value function and its level sets. We use a Gilmore-Gomory approach to find parametrized IP value functions over a restricted set of variables. We introduce the notion of maximal connected subsets of level sets - volumes in which changes to the constraint right-hand side have no effect on the value function - and relate these structures to IP value functions and optimal solutions.

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Seth Brown, Wenxin Zhang, Temitayo Ajayi, Andrew Schaefer. 2020-06-18. A Gilmore-Gomory-Type Construction of Integer Programming Value Functions. https://arxiv.org/abs/2006.10223

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