Approximation Algorithms for Facility Location with Capacitated and Length-Bounded Tree Connections

  • Jannik Matuschke
  • Andreas Bley
  • Benjamin Müller
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8125)


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Jannik Matuschke
    • 1
  • Andreas Bley
    • 1
  • Benjamin Müller
    • 1
  1. 1.Institut für MathematikTU BerlinGermany

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