Asymptotic approach to the performance evaluation with application to some model of real-time communication device

Anatoli Manita 1 Yeqiong Song 1 François Simonot 1
1 TRIO - Real time and interoperability
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : For communication switch a mathematical model based on a multi-dimensional Markov stochastic process is proposed. We discuss both continuous and discrete time variants of the proposed queueing model. We put forward the problem of asymptotic analysis of steady-state distribution to evaluate performance of the system. This approach is deeply related with the recent results on large deviations in Markovian systems. We provide a comprehensive study of symmetrical communication switch. In the last section for the case of Binomial model we give a comparison between two numerical experiments: the first one is based on exact formulae and the second on our asymptotic approach.
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Rapport
[Research Report] A02-R-389 || manita02a, 2002
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https://hal.inria.fr/inria-00147553
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Soumis le : vendredi 18 mai 2007 - 15:12:41
Dernière modification le : jeudi 11 janvier 2018 - 06:20:05

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  • HAL Id : inria-00147553, version 1

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Anatoli Manita, Yeqiong Song, François Simonot. Asymptotic approach to the performance evaluation with application to some model of real-time communication device. [Research Report] A02-R-389 || manita02a, 2002. 〈inria-00147553〉

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