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Generalized TCP-RED dynamical model for Internet congestion control


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Title:
Generalized TCP-RED dynamical model for Internet congestion control
Authors:
Giménez, Ángel
AMIGO, JOSE M.  
Martinez Bonastre, Oscar  
Valero, José
Duran, Gullem
Editor:
Elsevier
Department:
Departamentos de la UMH::Estadística, Matemáticas e Informática
Issue Date:
2019
URI:
https://hdl.handle.net/11000/30985
Abstract:
Adaptive management of traffic congestion in the Internet is a complex problem that can gain useful insights from a dynamical approach. In this paper we propose and analyze a one-dimensional, discrete-time nonlinear model for Internet congestion control at the routers. Specifically, the states correspond to the average queue sizes of the incoming data packets and the dynamical core consists of a monotone or unimodal mapping with a unique fixed point. This model generalizes a previous one in that additional control param eters are introduced via the data packet drop probability with the objective of enhancing stability. To make the analysis more challenging, the original model was shown to exhibit the usual features of low-dimensional chaos with respect to several system and control pa rameters, e.g., positive Lyapunov exponents and Feigenbaum-like bifurcation diagrams. We concentrate first on the theoretical aspects that may promote the unique stationary state of the system to a global attractor, which in our case amounts to global stability. In a sec ond step, those theoretical results are translated into stability domains for robust setting of the new control parameters in practical applications. Numerical simulations confirm that the new parameters make it possible to extend the stability domains, in comparison with previous results. Therefore, the present work may lead to an adaptive congestion control algorithm with a more stable performance than other algorithms currently in use.
Keywords/Subjects:
Congestion control in the Internet
Adaptive queue management
Random early detection
Discrete-time dynamical systems
Global stability
Robust setting of control parameters
Knowledge area:
CDU: Ciencias puras y naturales
Type of document:
application/pdf
Access rights:
info:eu-repo/semantics/closedAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
DOI:
https://doi.org/10.1016/j.cnsns.2019.105075
Appears in Collections:
Artículos Estadística, Matemáticas e Informática



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