A simultaneous lifting strategy for identifying new classes of facets for the Boolean quadric polytope

Hanif D. Sherali, Youngho Lee, Warren P. Adams

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We develop a framework for characterizing classes of facets for the Boolean quadric polytope obtainable through a simultaneous lifting procedure. In particular, we begin with a class of product-form facets that subsume Padberg's clique, cut, and generalized cut inequality facets. By applying the proposed general approach to this class of facets, we derive a specially structured polyhedron whose vertices describe all facets that are simultaneous liftings of these facets. We identify specific classes of vertices for this polyhedron to reveal a new class of facets for the quadric polytope. Such an approach can be applied to lifting other facets, as well as to analyze other combinatorial optimization problems.

Original languageEnglish
Pages (from-to)19-26
Number of pages8
JournalOperations Research Letters
Volume17
Issue number1
Publication statusPublished - 1995 Feb 1
Externally publishedYes

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Keywords

  • Cut polytope
  • Facets
  • Lifting
  • Quadric polytope
  • Reformulation-linearization-technique

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty
  • Industrial and Manufacturing Engineering
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics
  • Modelling and Simulation

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