Shorten, Robert N. and King, Chris and Wirth, Fabian and Leith, Douglas J. (2007) On the ergodicity of AIMD networks. In: Proceedings of the 2007 American Control Conference Marriott Marquis Hotel at Times Square New York City, USA, July 11-13, 2007. IEEE, pp. 3283-3287. ISBN 1-4244-0988-8

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Abstract

In this paper we study communication networks that employ drop-tail queueing and Additive-Increase Multiplicative- Decrease (AIMD) congestion control algorithms. A basic assumption in the study of such networks is that the underlying stochastic process is ergodic. In this paper we present a proof of ergodicity for such networks under very general assumptions.

Item Type:	Book Section
Additional Information:	©0000 IEEE. Reprinted from Proceedings of the 2007 American Control Conference Marriott Marquis Hotel at Times Square New York City, USA, July 11-13, 2007. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4282283&isnumber=4282135
Keywords:	Queueing theory; Stochastic processes; Telecommunication congestion control; AIMD congestion control algorithm; Additive-increase multiplicative-decrease network; Drop-tail queueing algorithm; Stochastic process; ACC '07; Hamilton Institute.
Academic Unit:	Faculty of Science and Engineering > Computer Science Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	1760
Identification Number:	https://doi.org/10.1109/ACC.2007.4282283
Depositing User:	Hamilton Editor
Date Deposited:	22 Dec 2009 12:41
Publisher:	IEEE
Refereed:	Yes
URI:	Author
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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