A distributed O(1)-approximation algorithm for the uniform facility location problem

  • Authors:
  • Joachim Gehweiler;Christiane Lammersen;Christian Sohler

  • Affiliations:
  • University of Paderborn;University of Paderborn;University of Paderborn

  • Venue:
  • Proceedings of the eighteenth annual ACM symposium on Parallelism in algorithms and architectures
  • Year:
  • 2006

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Abstract

In this paper, we present a randomized constant factor approximation algorithm for the metric minimum facility location problem with uniform costs and demands in a distributed setting, in which every point can open a facility. In particular, our distributed algorithm uses three communication rounds with message sizes bounded to O(log n) bits where n is the number of points. We also extend our algorithm to constant powers of metric spaces, where we also obtain a randomized constant factor approximation algorithm.