On the p-Median Polytope and the Intersection Property (Title in journal - On the p-Median Polytope and the Intersection Property: Polyhedra and Algorithms)

Copyright © [2011] by The Society for Industrial and Applied Mathematics. All rights reserved

We study a prize collecting version of the uncapacitated facility location problem and of the p-median problem. We say that uncapacitated facility location polytope has the intersection property, if adding the extra equation that fixes the number of opened facilities does not create any fractional extreme point. We characterize the graphs for which this polytope has the intersection property, and give a complete description of the polytope for this class of graphs.

By: Mourad Baïou; Francisco Barahona; Jose Correa

Published in: SIAM Journal on Discrete Mathematics, volume 25, (no 1), pages 1-20 in 2011


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