Tuesday, October 12, 2010 - 11:00am
1 hour (actually 50 minutes)
Executive classroom - Main Building
Hosted by Renato DC Monteiro, ISyE.
Intersection cuts are generated from a polyhedral cone and a convex set S whose interior contains no feasible integer point. We generalize these cuts by replacing the cone with a more general polyhedron C. The resulting generalized intersection cuts dominate the original ones. This leads to a new cutting plane paradigm under which one generates and stores the intersection points of the extreme rays of C with the boundary of S rather than the cuts themselves. These intersection points can then be used to generate deeper cuts in a non-recursive fashion. (This talk is based on joint work with Francois Margot.)