On the facets of the simple plant location packing polytope

Abstract

We introduce new classes of facet-defining inequalities for the polytope P pd associated with the set packing formulation of the simple plant location problem (SPLP) with p plants and d destinations. The inequalities are obtained by identifying subgraphs of the intersection graph G(p,d) of SPLP that are facet-defining, and lifting their associated facets if it is necessary. To this end, we find subfamilies of previously known structured families of facet-defining graphs, like fans and wheels, inside G(p,d). We also characterize a class of facets of SPLP and summarize the previous polyhedral results on this problem. © 2002 Elsevier Science B.V.