TRANSIENT BEHAVIOR OF PROCESSES IN THE TCP PARADIGM

Author:

Ott T. J.,Kemperman J. H. B.

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.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

Reference43 articles.

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3. 26 Löpker A.H. & van Leeuwaarden J.S.H. (2007). Transient moments of the window size in TCP. Available from www.win.tue.nl/~leeuwaa/paper14.html.

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