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    Rights statement: This is the author’s version of a work that was accepted for publication in Operations Research Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Operations Research Letters, 47, 2, 2019 DOI: 10.1016/j.orl.2018.12.005

    Accepted author manuscript, 302 KB, PDF document

    Embargo ends: 28/06/20

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On lifted cover inequalities: a new lifting procedure with unusual properties

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>17/01/2019
<mark>Journal</mark>Operations Research Letters
Issue number2
Volume47
Number of pages6
Pages (from-to)83-88
Publication statusPublished
Early online date28/12/18
Original languageEnglish

Abstract

Lifted cover inequalities are well-known cutting planes for 0-1 linear programs. We show how one of the earliest lifting procedures, due to Balas, can be significantly improved. The resulting procedure has some unusual properties. For example, (i) it can yield facet-defining inequalities even if the given cover is not minimal, (ii) it can yield facet-defining inequalities that cannot be obtained by standard lifting procedures, and (iii) the associated superadditive lifting function is
integer-valued almost everywhere.

Bibliographic note

This is the author’s version of a work that was accepted for publication in Operations Research Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Operations Research Letters, 47, 2, 2019 DOI: 10.1016/j.orl.2018.12.005