Face Dimensions of General-Purpose Cutting Planes for Mixed-Integer Linear Programs
Discrete Mathematics
2020-11-13 v1 Optimization and Control
Abstract
Cutting planes are a key ingredient to successfully solve mixed-integer linear programs. For specific problems, their strength is often theoretically assessed by showing that they are facet-defining for the corresponding mixed-integer hull. In this paper we experimentally investigate the dimensions of faces induced by general-purpose cutting planes generated by a state-of-the-art solver. Therefore, we relate the dimension of each cutting plane to its impact in a branch-and-bound algorithm.
Cite
@article{arxiv.2011.06076,
title = {Face Dimensions of General-Purpose Cutting Planes for Mixed-Integer Linear Programs},
author = {Matthias Walter},
journal= {arXiv preprint arXiv:2011.06076},
year = {2020}
}
Comments
12 pages, 32 figures, 1 table