Duffy, Ken R. (2010) Mean field Markov models of wireless local area networks. Markov Processes and Related Fields, 16 (2). pp. 295-328. ISSN 1024-2953

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Abstract

In 1998, Giuseppe Bianchi introduced a mean field Markov model of the fundamental medium access control protocol used in Wireless Local Area Networks (WLANs). Due to the model’s intuitive appeal and the accuracy of its predictions, since then there has been a vast body of material published that extends and analyzes models of a similar character. As the majority of this development has taken place within the culture and nomenclature of the telecommunications community, the aim of the present article is to review this work in a way that makes it accessible to probabilists. In doing so, we hope to illustrate why this modeling approach has proved so popular, to explain what is known rigorously, and to draw attention to outstanding questions of a mathematical nature whose solution would be of interest to the telecommunications community. For non-saturated WLANs, these questions include rigorous support for its fundamental decoupling approximation, determination of the properties of the self-consistent equations and the identification of the queueing stability region.

Item Type:	Article
Additional Information:	This is the postprint version of the published article.
Keywords:	Mean field; Markov models; wireless local area networks; WLANs;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	6221
Depositing User:	Dr Ken Duffy
Date Deposited:	01 Jul 2015 15:25
Journal or Publication Title:	Markov Processes and Related Fields
Publisher:	Polymat
Refereed:	Yes
URI:	http://mech.math.msu.su/~malyshev/mprf.h...
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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