Poisson Hypothesis for information networks (A study in non-linear Markov processes)

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In this paper we prove the Poisson Hypothesis for the limiting behavior of the large queueing systems in some simple ("mean-field") cases. We show in particular that the corresponding dynamical systems, defined by the non-linear Markov processes, have a line of fixed points which are global attractors. To do this we derive the corresponding non-linear integral equation and we explore its self-averaging properties. Our derivation relies on a solution of a combinatorial problem of rode placements.
70 pages

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Mathematical Physics, Probability, 82C20; 60J25

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http://salesiana.dossiersoluciones.com/handle/123456789/57312

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0303010
 http://arxiv.org/abs/math-ph/0303010

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arXiv