Routing without flow control

  • Authors:
  • Costas Busch;Maurice Herlihy;Rogert Wattenhofer

  • Affiliations:
  • Rensselaer Polytechnic, Institute;Brown University;Microsoft Research

  • Venue:
  • Proceedings of the thirteenth annual ACM symposium on Parallel algorithms and architectures
  • Year:
  • 2001

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Abstract

We present the first dynamic hot-potato routing algorithm that does not require any form of explicit flow control: a node may inject a message into the network (n × n mesh) whenever a link is free. In the worst case, a node may have to wait an expected &Ogr;(n) time before it has a free link. If destinations are chosen uniformly at random, this algorithm guarantees delivery in an expected &Ogr;(n) time steps. Both measures are optimal up to a constant factor.