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Modelling TCP congestion control dynamics in drop-tail environments
Authors:Robert Shorten [Author Vitae]  Chris King [Author Vitae]  Fabian Wirth [Author Vitae] [Author Vitae]
Affiliation:a Hamilton Institute, National University of Ireland, Maynooth, Ireland
b Department of Mathematics, Northeastern University, Boston MA 02115, USA
c Department of Mathematics, University of Bremen, Germany
Abstract:In this paper we study communication networks that employ drop-tail queueing and additive-increase multiplicative-decrease (AIMD) congestion control algorithms. We show that the theory of non-negative matrices may be employed to model such networks and to derive basic theorems concerning their behaviour.
Keywords:TCP   Network congestion control
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