One to rule them all: a general randomized algorithm for buffer management with bounded delay

  • Authors:
  • Łukasz Jeż

  • Affiliations:
  • Institute of Computer Science, University of Wrocław, Wrocław, Poland

  • Venue:
  • ESA'11 Proceedings of the 19th European conference on Algorithms
  • Year:
  • 2011

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Abstract

We give a memoryless scale-invariant randomized algorithm Mix-R for buffer management with bounded delay that is e/(e - 1)- competitive against an adaptive adversary, together with better performance guarantees for many restricted variants, including the s-bounded instances. In particular, Mix-R attains the optimum competitive ratio of 4/3 on 2-bounded instances. Both Mix-R and its analysis are applicable to a more general problem, called Item Collection, in which only the relative order between packets' deadlines is known. Mix-R is the optimal memoryless randomized algorithm against adaptive adversary for that problem in a strong sense. While some of the provided upper bounds were already known, in general, they were attained by several different algorithms.