2013 | OriginalPaper | Chapter
Approximation Algorithms for Facility Location with Capacitated and Length-Bounded Tree Connections
Authors : Jannik Matuschke, Andreas Bley, Benjamin Müller
Published in: Algorithms – ESA 2013
Publisher: Springer Berlin Heidelberg
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We consider a generalization of the uncapacitated facility location problem that occurs in planning of optical access networks in telecommunications. Clients are connected to open facilities via depth-bounded trees. The total demand of clients served by a tree must not exceed a given tree capacity. We investigate a framework for combining facility location algorithms with a tree-based clustering approach and derive approximation algorithms for several variants of the problem, using techniques for approximating shallow-light Steiner trees via layer graphs, simultaneous approximation of shortest paths and minimum spanning trees, and greedy coverings.