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Abstract: This work introduces a discrete time model for a simplified TCP network with RED control. It is argued that by sampling the state space at certain instants, the dynamics of the system can be described explicitly as a discrete time feedback control system. This system is used to analyze the operating point of TCP-RED and its stability with respect to various controller and system parameters. With the help of bifurcation diagrams, it is numerically shown that non-trivial (not due to the... (Update)
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...I. INTRODUCTION It has been shown that a TCP RED network can exhibit an instability if the control parameters are not properly selected [14], 10] Further, researchers have made the observation that the oscillation in the average queue sizes is a consequence of the nonlinear...
...a decade ago. Recently, it was shown that a TCP RED network can exhibit an instability if control parameters are not properly selected [6,9]. Furthermore, researchers have made the observation that the oscillation in the average queue size is a consequence of the nonlinear...
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BibTeX entry: (Update)
P. Ranjan, E. H. Abed, and R. J. La, "Nonlinear instabilities in TCP-RED", To appear in the proc. of IEEE INFOCOM 2002. http://citeseer.ist.psu.edu/article/ranjan02nonlinear.html More
@misc{ and-nonlinear,
author = "Priya Ranjan And",
title = "Nonlinear Instabilities in TCP-RED",
url = "citeseer.ist.psu.edu/article/ranjan02nonlinear.html" }
Citations (may not include all citations):1159 Random Early Detection Gateways for Congestion Avoidance - Floyd, Jacobson - 1993 ACM DBLP
347 The Macroscopic Behavior of the TCP Congestion Avoidance Alg.. - Mathis, Semke et al. - 1997 ACM
268 Dynamics of Random Early Detection - Lin, Morris - 1997
81 A Study of Active Queue Management for Congestion Control - Firoiu, Borden - 2000 DBLP
73 The Chaotic Nature of TCP Congestion Control - Veres, Boda - 2000 DBLP
65 Reasons Not to Deploy RED - May, Bolot et al. - 1997
64 End-to-End Congestion Control for the Internet: Delays and S.. - Johari, Tan - 2000 DBLP
10 Stability of TCPRED Congestion Control - Kuusela, Lassilaand et al. - 2000
9 Oscillations and Chaos in a Flow Model of A Switching System (context) - Erramilli, Forys - 1991 DBLP
4 Why is Flow Control Hard: Optimality, Fairness, Partial and .. - Korilis, Lazar - 1992
4 Traffic Synchronization Effects in Teletraffic Systems (context) - Erramilli, Forys - 1991
3 On Catastrophic Behavior of Queueing Networks (context) - Grishechkin, Devetsikiotis et al. - 1998
2 A Study of Active Queue Management For Congestion Control (context) - Misra, Gong et al. - 2000
2 Analysis of Chaotic Buck, Boost and Buck-Boost Converters th.. (context) - di Bernardo, Garofalo et al. - 1997
2 Bifurcations in twodimensional piecewise smooth maps - Theor.. - Banerjee, Ranjan et al. - 2000
Documents on the same site (http://www.glue.umd.edu/~priya/home/mywork.html): More
Nonlinear Dynamics of Mixed TCP and UDP Traffic Under RED - La, Ranjan, Abed (Correct)
Bifurcations of TCP and UDP Traffic Under RED - Ranjan, La, Abed (Correct)
Nonlinearity of TCP and instability with RED - La, Ranjan, Abed (2002) (Correct)
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