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 describes 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 chain.
By: Mourad Baïou; Francisco Barahona
Published in: RC23769 in 2005
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