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Mathematics > Optimization and Control

arXiv:1805.02782 (math)
[Submitted on 7 May 2018]

Title:Theoretical challenges towards cutting-plane selection

Authors:Santanu S. Dey, Marco Molinaro
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Abstract:While many classes of cutting-planes are at the disposal of integer programming solvers, our scientific understanding is far from complete with regards to cutting-plane selection, i.e., the task of selecting a portfolio of cutting-planes to be added to the LP relaxation at a given node of the branch-and-bound tree. In this paper we review the different classes of cutting-planes available, known theoretical results about their relative strength, important issues pertaining to cut selection, and discuss some possible new directions to be pursued in order to accomplish cutting-plane selection in a more principled manner. Finally, we review some lines of work that we undertook to provide a preliminary theoretical underpinning for some of the issues related to cut selection.
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1805.02782 [math.OC]
  (or arXiv:1805.02782v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1805.02782

Submission history

From: Santanu Dey [view email]
[v1] Mon, 7 May 2018 23:40:36 UTC (45 KB)
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