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  Communication Delay and Instability in Rate-Controlled Networks

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by Priya Ranjan, Eyad H. Abed, Richard J. La
http://www.glue.umd.edu/~priya/home/cdc2003.ps
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Abstract:

Abstract--- We analyze the optimization framework for rate allocation problem proposed by Kelly and characterize the oscillations in terms of underlying map's period two orbit in the instability regime with arbitrary communication delay. We show the oscillations can be fairly large by computing the bounds explicitly for large return trip times. I.

Citations

788 Rate control in communication networks: shadow prices, proportional fairness and stability – Kelly, Maulloo, et al. - 1998
390 Charging and rate control for elastic traffic – Kelly - 1997
149 A control theoretic analysis of red – Hollot, Misra, et al.
129 End-to-end congestion control schemes: utility functions, random losses and ECN marks – Kunniyur, Srikant - 2003
117 Mathematical modelling of the Internet – Kelly - 2001
106 End-to-end congestion control for the internet: Delays and stability – Johari, Tan - 2000
27 Optimization flow control – Low, Lapsley - 1997
21 A time scale decomposition approach to adaptive ECN marking – Kunniyur, Srikant - 2001
15 Stability and robust stability of time delay systems: A guided tour. Stability and Control of Time-Delay System, LNCS: 228:16–17 – Niculescu, Verriest, et al. - 1997
10 Intermediate Microeconomics – Varian - 2002
8 Oscillations in singularly perturbed delay equations – Ivanov, Sharkovsky - 1992
7 Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation – Mallet-Paret, Nussbaum - 1986
3 Global behavior in nonlinear systems with delayed feedback – Ivanov, Pinto, et al. - 2000
2 From sine waves to square waves in delay equations – Chow, Hale, et al. - 1992
2 Trofimchuk. Global stability of a class of scalar nonlinear delay differential equations. Accepted for Publication, Preprint from Author – Ivanov, Liz, et al. - 2003
2 Difference equations and their applications: (Trans. from Russian – Sharkovsky, Maistrenko, et al. - 1995
1 Greed, delay and stability tradeoffs in network economics – Ranjan, Abed, et al. - 2003