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 | |
| 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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Sherali, H. D., Lee, Y., & Adams, W. P. (1995). A simultaneous lifting strategy for identifying new classes of facets for the Boolean quadric polytope. Operations Research Letters, 17(1), 19-26. https://doi.org/10.1016/0167-6377(94)00065-E