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An ex-post bound on the greedy heuristic for the uncapacitated facility location problem

Published online by Cambridge University Press:  12 October 2006

Jean-Michel Thizy
Jean-Michel Thizy*
Affiliation:
GEMO, ESDES, Lyon & School of Management, University of Ottawa, Ottawa, Ontario, Canada; . This article was submitted while the author was on a sabbatical leave at the Industrial Engineering & Computer Sciences Division of the École Nationale Supérieure des Mines de Saint-Etienne.
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Abstract

A bound for the greedy heuristic applied to the K-facility location problem can be calculated,using values gathered during the calculation of the heuristic. The bound strengthens awell-known bound for the heuristic. Computational experiments show that this bound can bebeneficial when the number of facilities is small or close to the total number of potential sites. In addition, it is consistent with previous results about the influence of the data characteristicsupon the optimal value.

Type
Research Article
Information
RAIRO - Operations Research , Volume 40 , Issue 2: ROADEF 03 , April 2006 , pp. 143 - 167
Copyright
© EDP Sciences, 2006

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