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  Scalable laws for stable network congestion control (2001) [78 citations — 16 self]

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by John Doyle, Steven Low
In Proceedings of Conference on Decision and Control
http://netlab.caltech.edu/netlab-pub/cdc01.ps
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Abstract:

This paper discusses flow control in networks, in which sources control their rates based on feedback signals received from the network links. This feature, present in current protocols such as TCP, has only recently been extensively studied from an analytical perspective. In particular, we are motivated by recent work that shows that TCP and its variants are prone to instabilities when combined with network delays and, more surprisingly, with increases in network capacity. In this paper we develop a congestion control system which is arbitrarily scalable, in the sense that its stability is maintained for arbitrary network topologies and arbitrary amounts of delay. Such a system can be implemented in a decentralized way with information currently available in networks plus a small amount of additional signaling. 1

Citations

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833 Rate Control in Communication Networks: Shadow Prices, Proportional Fairness and Stability – Kelly, Maulloo, et al. - 1998
332 Optimization flow control - I: basic algorithm and convergence – Low, Lapsley - 1999
330 TCP Vegas: End to End Congestion Avoidance on a Global Internet – S, L - 1995
217 A Fluid-based Analysis of a Network of AQM Routers Supporting TCP Flows with Application to RED – Misra, Gong, et al. - 2000
158 A control theoretic analysis of RED – Hollot, Misra, et al. - 2001
153 On designing improved controllers for AQM routers supporting TCP flows – Hollot, Misra, et al. - 2001
132 End-to-end Congestion Control Schemes: Utility Functions – Kunniyur, Srikant - 2003
119 Mathematical modelling of the Internet – Kelly - 2000
109 End-to-End Congestion Control for the Internet: Delays and Stability – Johari, Tan - 2001
83 Models for a self-managed Internet – Kelly
82 Understanding vegas: A duality model – Low, Peterson, et al.
79 Stability of distributed congestion control with heterogeneous feedback delays – Massoulie - 2000
71 A time-scale decomposition approach to adaptive ECN marking – Kunniyur, Srikant - 2002
63 On the stability of end-to-end congestion control for the internet – Vinnicombe - 2001
28 Congestion control in high-speed communication networks using the Smith principle – Mascolo - 1999
27 Optimization flow control – Low, Lapsley - 1997
26 Congestion control as a stochastic control problem with action delays – Altman, Basar, et al. - 1999
25 Optimization flow control with on-line measurement – Low - 1999
21 A duality model of tcp flow controls – Low - 2000
12 On the stability of optimization-based flow control – Paganini - 2001
9 On rate-based congestion control in high-speed networks: design of an h1 based flow controller for single bottleneck – Ozbay, Kalyanaraman, et al. - 1998
7 Flow control via pricing: a feedback perspective – Paganini - 2000
1 Understanding Vegas: a duality model, to appear – Low, Peterson, et al. - 2001
1 Dynamics of TCP/AQM and a scalable control. Submitted for publication – Low, Paganini, et al. - 2001