On the optimality and the stability of backoff protocols

  • Authors:
  • Andrey Lukyanenko

  • Affiliations:
  • University of Kuopio

  • Venue:
  • NEW2AN'07 Proceedings of the 7th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
  • Year:
  • 2007

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Abstract

In this paper, we analyze backoff protocols, such as Ethernet. We examine a general backoff function (GBF) rather than just the binary exponential backoff (BEB) used by Ethernet. Under some mild assumptions we find stability and optimality conditions for a wide class of backoff protocols with GBF. In particular, it is proved that the maximal throughput rate over the class of backoff protocols with N stations is (1 - 1/N)1/N-1 and the optimal average service time for any station is ES = N/(1 - 1/N)1/N-1 or about Ne for large N. The reasons of the instability of the BEB protocol (for a big enough input rate) is explained.