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

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

doi:10.1016/0167-6377(94)00065-E

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

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

School of Industrial Management Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	19-26
Number of pages	8
Journal	Operations Research Letters
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/0167-6377(94)00065-E
Publication status	Published - 1995 Feb

Keywords

Cut polytope
Facets
Lifting
Quadric polytope
Reformulation-linearization-technique

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/0167-6377(94)00065-E

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