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TRANSIENT BEHAVIOR OF PROCESSES IN THE TCP PARADIGM

Published online by Cambridge University Press:  27 May 2008

T. J. Ott  and
J. H. B. Kemperman
T. J. Ott
Affiliation:
WinlabRutgers UniversityNew Brunswick, NJ E-mail: ott@winlab.rutgers.edu
J. H. B. Kemperman
Affiliation:
Department of StatisticsRutgers UniversityNew Brunswick, NJ
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Abstract

This article derives the transient behavior of the stochastic process X(t) for which in earlier articles it was proven that for α<1, the process (X(t))1/(1−α) (approximately, under low drop probability or ECN marking probability) describes the behavior of the congestion windows in certain transport protocols in the so-called TCP paradigm. The transient distribution is found explicitly and is particularly transparent for moments like E[(X(t))k |X(0)]. The purpose of this article is to be part of the mathematical foundation when comparing the many protocols in the TCP paradigm.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 22 , Issue 3 , July 2008 , pp. 431 - 471
Copyright
Copyright © Cambridge University Press 2008

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