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arXiv · 1607.04803

A combinatorial approach for small and strong formulations of disjunctive constraints

Joey Huchette·Juan Pablo Vielma
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Abstract

We present a framework for constructing strong mixed-integer programming formulations for logical disjunctive constraints. Our approach is a generalization of the logarithmically-sized formulations of Vielma and Nemhauser for SOS2 constraints, and we offer a complete characterization of its expressive power. We apply the framework to a variety of disjunctive constraints, producing novel small and strong formulations for outer approximations of multilinear terms, generalizations of special ordered sets, piecewise linear functions over a variety of domains, and obstacle avoidance constraints.

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Joey Huchette, Juan Pablo Vielma. 2016-07-16. A combinatorial approach for small and strong formulations of disjunctive constraints. https://arxiv.org/abs/1607.04803

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