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.