New lower and upper bounds for the competitive ratio of transmission protocols

  • Authors:
  • Maciej Liskiewicz;Bodo Manthey

  • Affiliations:
  • Universität zu Lübeck, Instiut für Theoretische Informatik, Wallstraße 40, 23560 Lübeck, Germany;Universität zu Lübeck, Instiut für Theoretische Informatik, Wallstraße 40, 23560 Lübeck, Germany

  • Venue:
  • Information Processing Letters
  • Year:
  • 2004

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Abstract

Transmission protocols like TCP are usually divided into a time scheduling and a data selection policy. We consider on-line algorithms of data selection policies for any time scheduling policy and any routing behavior in a network. For the model introduced by Adler et al. [Proc. 5th Israel Symp. on Theory of Computing Systems, 1997, pp. 64-72], we improve both the lower and the upper bound on the competitive ratio making them asymptotically tight. Furthermore, we present a lower bound that depends on the size of the buffers that are available both to the sender and to the receiver. We obtain a constant lower bound for the competitive ratio for constant buffer size.