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New Insights from a Fixed Point Analysis of Single Cell IEEE 802.11 WLANs

Abstract : We study a fixed point formalisation of the well known analysis of Bianchi. We provide a significant simplification and generalisation of the analysis. In this more general framework, the fixed point solution and performance measures resulting from it are studied. Uniqueness of the fixed point is established. Simple and general throughput formulas are provided. It is shown that the throughput of any flow will be bounded by the one with the smallest transmission rate. The aggregate throughput is bounded by the reciprocal of the harmonic mean of the transmission rates. In an asymptotic regime with a large number of nodes, explicit formulas for the collision probability, the aggregate attempt rate and the aggregate throughput are provided. The results from the analysis are compared with ns2.
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https://hal.inria.fr/inria-00070776
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 9:36:02 PM
Last modification on : Saturday, January 27, 2018 - 1:31:43 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:53:31 PM

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  • HAL Id : inria-00070776, version 1

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Anurag Kumar, Eitan Altman, Daniele Miorandi, Munish Goyal. New Insights from a Fixed Point Analysis of Single Cell IEEE 802.11 WLANs. RR-5218, INRIA. 2004, pp.38. ⟨inria-00070776⟩

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