The p-median polytope of restricted Y-graphs

Mourad Baïou (1) , Francisco Barahona (2)

1 LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes
2 IBM Thomas J. Watson Research Center

We further study the effect of odd cycle inequalities in the description of the polytopes associated with the p-median and uncapacitated facility location problems. We show that the obvious integer linear programming formulation together with the odd cycle inequalities completely describe these polytopes for the class of restricted Y-graphs. This extends our results for the class of Y-free graphs. We also obtain a characterization of both polytopes for a bidirected path.

Mots clés: p-median problem; uncapacitated facility location problem; odd cycle inequalities

Domaines: Recherche opérationnelle [math.OC]

Mourad Baïou, Francisco Barahona. The p-median polytope of restricted Y-graphs. 2006. ⟨hal-00640903⟩