A modified lift-and-project procedure
In recent years the lift-and-project approach has been used successfully within a branch-and-cut framework to solve large, difficult pure and mixed 0-1 programs that have resisted solution efforts by pure branch and bound codes. The approach uses a linear description in a higher dimensional space of the convex hull of the disjunctive set created by imposing one or several 0-1 conditions. By solving a linear program derived from this higher dimensional representation - the cut generating linear program (CGLP) - the standard lift-and-project procedure obtains a deepest cut in a well defined sense. We propose a modification of CGLP that allows us to generate not just one deepest cut, but a class of cuts with desirable properties, each at the cost of one extra pivot in the optimal tableau of the modified CGLP (C) 1997 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.
lifting projection convexification disjunctive programming