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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.

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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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