Article ID: | iaor1999894 |
Country: | Netherlands |
Volume: | 79 |
Issue: | 1/3 |
Start Page Number: | 19 |
End Page Number: | 31 |
Publication Date: | Oct 1997 |
Journal: | Mathematical Programming |
Authors: | Balas Egon |
Keywords: | programming: integer |
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.