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 \(\left(1-\frac1N\right)^{\frac1{N-1}}\) and the optimal average service time for any station is \(E S = N/\left(1-\frac1N\right)^{\frac1{N-1}}\) or about Ne for large N. The reasons of the instability of the BEB protocol (for a big enough input rate) is explained.
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Lukyanenko, A. (2007). On the Optimality and the Stability of Backoff Protocols. In: Koucheryavy, Y., Harju, J., Sayenko, A. (eds) Next Generation Teletraffic and Wired/Wireless Advanced Networking. NEW2AN 2007. Lecture Notes in Computer Science, vol 4712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74833-5_33
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DOI: https://doi.org/10.1007/978-3-540-74833-5_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74832-8
Online ISBN: 978-3-540-74833-5
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