Lower bounds on the lattice-free rank for packing and covering integer programs
Optimization and Control
2018-04-03 v2
Abstract
In this paper, we present lower bounds on the rank of the split closure, the multi-branch closure and the lattice-free closure for packing sets as a function of the integrality gap. We also provide a similar lower bound on the split rank of covering polyhedra. These results indicate that whenever the integrality gap is high, these classes of cutting planes must necessarily be applied for many rounds in order to obtain the integer hull.
Keywords
Cite
@article{arxiv.1710.00031,
title = {Lower bounds on the lattice-free rank for packing and covering integer programs},
author = {Merve Bodur and Alberto Del Pia and Santanu S. Dey and Marco Molinaro},
journal= {arXiv preprint arXiv:1710.00031},
year = {2018}
}