Much progress has been made in recent years in solving certain classes of production planning problems using mixed integer programming. One of the major challenges is how to make this expertise available and easy to use to the non-specialist and to the practitioners. Here we describe a modeling...

We examine the polyhedral structure of the convex hull of feasible solutions of the capacitated facility location problem. In particular we derive necessary and sufficient conditions for a family of "effective capacity" inequalities to be facet-defining, and further results on a more general...

We examine the single-item lot-sizing problem with Wagner-Whitin costs over an n period horizon, i.e. Pt + ht ≥ Pt+l for t = 1, ... , n - 1, where Pt, ht are the unit production and storage costs in period t respectively, so it always pays to produce as late as possible. We describe integral...