Brief paper: Modelling TCP congestion control dynamics in drop-tail environments

Authors:
Robert Shorten;Chris King;Fabian Wirth;Douglas Leith
Affiliations:
Hamilton Institute, National University of Ireland, Maynooth, Ireland;Department of Mathematics, Northeastern University, Boston MA 02115, USA;Department of Mathematics, University of Bremen, Germany;Hamilton Institute, National University of Ireland, Maynooth, Ireland
Venue:
Automatica (Journal of IFAC)
Year:
2007

Citing 5
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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. We show that the theory of non-negative matrices may be employed to model such networks and to derive basic theorems concerning their behaviour.