On the long time behavior of the TCP window size process

Abstract : The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in $[0,\infty)$, is ergodic and irreversible. It belongs to the Additive Increase Multiplicative Decrease class of processes. The sample paths are piecewise linear deterministic and the whole randomness of the dynamics comes from the jump mechanism. Several aspects of this process have already been investigated in the literature. In the present paper, we mainly get quantitative estimates for the convergence to equilibrium, in terms of the $W_1$ Wasserstein coupling distance, for the process and also for its embedded chain.
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Stochastic Processes and their Applications, Elsevier, 2010, 120 (8), pp.1518-1534. 〈10.1016/j.spa.2010.03.019〉
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https://hal.archives-ouvertes.fr/hal-00338640
Contributeur : Djalil Chafaï <>
Soumis le : mardi 15 décembre 2009 - 22:14:19
Dernière modification le : samedi 23 septembre 2017 - 01:08:20
Document(s) archivé(s) le : samedi 26 novembre 2016 - 16:01:31

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Djalil Chafai, Florent Malrieu, Katy Paroux. On the long time behavior of the TCP window size process. Stochastic Processes and their Applications, Elsevier, 2010, 120 (8), pp.1518-1534. 〈10.1016/j.spa.2010.03.019〉. 〈hal-00338640v3〉

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