DocumentCode :
3365748
Title :
Using congestion graphs to analyze the stability of network congestion control
Author :
Hobson-Garcia, Damian ; Hayakawa, Tomohisa
Author_Institution :
Dept. of Mech. & Environ. Inf., Tokyo Inst. of Technol., Tokyo
fYear :
2009
fDate :
26-29 March 2009
Firstpage :
559
Lastpage :
564
Abstract :
In this paper we apply the analysis of delay differential systems to congestion control of computer networks. We represent the congestion of the network as a set of graphs and use that structure to define a matrix equation that represents the queue dynamics of a computer network. We first apply the technique to analytical analysis of first-order delay differential dynamics and then show how the method can be extended to numerical analysis of higher-order dynamics. The network model and control are based on a continuous-time fluid flow model of network traffic data rates.
Keywords :
computer networks; delays; queueing theory; telecommunication congestion control; computer network queue dynamics; congestion graphs; continuous-time fluid flow model; delay differential systems; first-order delay differential dynamics; higher-order dynamics; matrix equation; network congestion control; network stability; network traffic data rates; numerical analysis; Communication system traffic control; Computer networks; Control systems; Delay systems; Equations; Fluid dynamics; Fluid flow; Fluid flow control; Numerical analysis; Stability analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Networking, Sensing and Control, 2009. ICNSC '09. International Conference on
Conference_Location :
Okayama
Print_ISBN :
978-1-4244-3491-6
Electronic_ISBN :
978-1-4244-3492-3
Type :
conf
DOI :
10.1109/ICNSC.2009.4919338
Filename :
4919338
Link To Document :
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