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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 nonnegative matrices may be employed to model such networks. In particular, we show that important network properties such as: (i) fairness; (ii) rate of convergence; and (iii) throughput; can be characterised by certain non-negative matrices that arise in the study of AIMD networks. We demonstrate that... (Update)
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BibTeX entry: (Update)
R. Shorten, F. Wirth, and D. Leith, "A positive systems model of tcplike congestion control: Asympototic results," Hamilton Institute, Tech. Rep. 2004-1, April 2004. http://citeseer.ist.psu.edu/shorten04positive.html More
@misc{ shorten04positive,
author = "R. Shorten and F. Wirth and D. Leith",
title = "A positive systems model of tcplike congestion control: Asympototic results",
text = "R. Shorten, F. Wirth, and D. Leith, A positive systems model of tcplike
congestion control: Asympototic results, Hamilton Institute, Tech. Rep.
2004-1, April 2004.",
year = "2004",
url = "citeseer.ist.psu.edu/shorten04positive.html" }
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64 End-to end congestion control for the internet: delays and s.. - Johari, Tan - 2001
52 Mathematical modelling of the internet - Kelly - 1999
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1 AIMD, Fairness and Fractal Scaling of TCP tra#c (context) - Baccelli, Hong - 2002
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