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2010

On Lifting Integer Variables in Minimal Inequalities

14 years 29 days ago
On Lifting Integer Variables in Minimal Inequalities
This paper contributes to the theory of cutting planes for mixed integer linear programs (MILPs). Minimal valid inequalities are well understood for a relaxation of an MILP in tableau form where all the nonbasic variables are continuous. In this paper we study lifting functions for the nonbasic integer variables starting from such minimal valid inequalities. We characterize precisely when the lifted coefficient is equal to the coefficient of the corresponding continuous variable in every minimal lifting. The answer is a nonconvex region that can be obtained as the union of convex polyhedra.
Amitabh Basu, Manoel B. Campêlo, Michele Con
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2010
Where IPCO
Authors Amitabh Basu, Manoel B. Campêlo, Michele Conforti, Gérard Cornuéjols, Giacomo Zambelli
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