A Geometric Perspective on Lifting

作者:Conforti Michele*; Cornuejols Gerard; Zambelli Giacomo
来源:Operations Research, 2011, 59(3): 569-577.
DOI:10.1287/opre.1110.0916

摘要

Recently it has been shown that minimal inequalities for a continuous relaxation of mixed-integer linear programs are associated with maximal lattice-free convex sets. In this paper, we show how to lift these inequalities for integral nonbasic variables by considering maximal lattice-free convex sets in a higher dimensional space. We apply this approach to several examples. In particular, we identify cases in which the lifting is unique.

  • 出版日期2011-6