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STOCHASTIC DIFFERENTIAL EQUATION FOR TCP WINDOW SIZE: ANALYSIS AND EXPERIMENTAL VALIDATION

Published online by Cambridge University Press:  22 January 2004

A. Budhiraja ,
F. Hernández-Campos ,
V. G. Kulkarni  and
F. D. Smith
A. Budhiraja
Affiliation:
Department of Statistics, University of North Carolina, Chapel Hill, NC 27599
F. Hernández-Campos
Affiliation:
Department of Computer Science, University of North Carolina, Chapel Hill, NC 27599
V. G. Kulkarni
Affiliation:
Department of Operations Research, University of North Carolina, Chapel Hill, NC 27599, E-mail: [email protected]
F. D. Smith
Affiliation:
Department of Computer Science, University of North Carolina, Chapel Hill, NC 27599
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Abstract

In this paper we develop a stochastic differential equation to describe the dynamic evolution of the congestion window size of a single TCP session over a network. The model takes into account recovery from packet losses with both fast recovery and time-outs, boundary behavior at zero and maximum window size, and slow-start after time-outs. We solve the differential equation to derive the distribution of the window size in steady state. We compare the model predictions with the output from the NS simulator.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 18 , Issue 1 , January 2004 , pp. 111 - 140
Copyright
© 2004 Cambridge University Press

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URL: http://www.cs.unc.edu/Research/dirt/proj/tcpmodel