A Bound on the Capacity of Backoff and Acknowledgment-Based Protocols

  • Authors:
  • Leslie Ann Goldberg;Mark Jerrum;Sampath Kannan;Mike Paterson

  • Affiliations:
  • -;-;-;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2004

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Abstract

We study contention-resolution protocols for multiple-access channels. We show that every backoff protocol is transient if the arrival rate, $\lambda$, is at least 0.42 and that the capacity of every backoff protocol is at most 0.42. Thus, we show that backoff protocols have (provably) smaller capacity than full-sensing protocols. Finally, we show that the corresponding results, with the larger arrival bound of 0.531, also hold for every acknowledgment-based protocol.