Geometric aspects of online packet buffering: an optimal randomized algorithm for two buffers

  • Authors:
  • Marcin Bienkowski;Aleksander Mądry

  • Affiliations:
  • Institute of Computer Science, University of Wroclaw, Poland;Institute of Computer Science, University of Wroclaw, Poland and CSAIL, MIT, Cambridge, MA

  • Venue:
  • LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
  • Year:
  • 2008

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Abstract

We study packet buffering, a basic problem occurring in network switches. We construct an optimal 16/13-competitive randomized online algorithm PB for the case of two input buffers of arbitrary sizes. Our proof is based on geometrical transformations which allow to identify the set of sequences incurring extremal competitive ratios. Later we may analyze the performance of PB on these sequences only.