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Original Articles

Stability of ABR congestion control using the theory of delayed differential equations

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Pages 575-584 | Received 15 Jul 2002, Accepted 01 Jun 2003, Published online: 12 May 2010
 

Abstract

The stabilities of the Fixed Point, ERAQLES and ERICA+ ABR congestion control algorithms were investigated. By using the stability theory of delayed differential equations, the stability conditions for each algorithm are obtained and examples where these algorithms are not stable (the stability definition is given below) are given. Parameters are proposed for which ERICA+ is always stable. It is shown that for a range of control parameters, neither the Fixed Point nor ERAQLES algorithms are stable, whatever the parameters are (round trip times, etc.).

Notes

§ Present address: CESIMO, Facultad de Ingeneria, Universitad de Los Andes, Mérida, Venezuela.

Additional information

Notes on contributors

E. AltmanFootnote§

§ Present address: CESIMO, Facultad de Ingeneria, Universitad de Los Andes, Mérida, Venezuela.

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