Facility Location in Dynamic Geometric Data Streams

  • Authors:
  • Christiane Lammersen;Christian Sohler

  • Affiliations:
  • Computer Science Department I, University of Bonn, Bonn, Germany 53117;Computer Science Department I, University of Bonn, Bonn, Germany 53117

  • Venue:
  • ESA '08 Proceedings of the 16th annual European symposium on Algorithms
  • Year:
  • 2008

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Abstract

We present a randomized algorithm that maintains a constant factor approximation for the cost of the facility location problem in the dynamic geometric data stream model. In this model, the input is a sequence of insert and delete operations of points from a discrete space { 1 ...Δ}d, where dis a constant. The algorithm needs $\log^{\mathcal{O}(1)}\Delta$ time to process an insertion or deletion of a point, uses $\log^{\mathcal{O}(1)}\Delta$ bits of storage, and has a failure probability of 1/Δ茂戮驴(1).