On the linear relaxation of the p-median problem

  • Authors:
  • Mourad BaïOu;Francisco Barahona

  • Affiliations:
  • CNRS, LIMOS Complexe scientifique des Cézeaux, 63173 AUBIERE cedex, France;IBM T. J. Watson Research Center, Yorktown Heights, NY 10589, USA

  • Venue:
  • Discrete Optimization
  • Year:
  • 2011

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Abstract

We study a well-known linear programming relaxation of the p-median problem. We give a characterization of the directed graphs for which this system of inequalities defines an integral polytope. As a consequence, we obtain that the p-median problem is polynomial in that class of graphs. We also give an algorithm to recognize these graphs.