inria-00147553, version 1
Asymptotic approach to the performance evaluation with application to some model of real-time communication device
N° A02-R-389 || manita02a (2002)
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.
- a – INRIA
- b – Institut National Polytechnique de Lorraine
- 1:
- INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
- Domain : Computer Science/Other
- Keywords : multi-dimensional markov process – asymptotic approach – performance evaluation – communication switch – real-time || processus de markov multi-dimensionnel – approche asymptotique – evaluation de performances – commutateur – temps réel
- Internal note : A02-R-389 || manita02a
- Comment : Rapport interne
- inria-00147553, version 1
- http://hal.inria.fr/inria-00147553
- oai:hal.inria.fr:inria-00147553
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- Submitted on: Friday, 18 May 2007 15:12:41
- Updated on: Friday, 18 May 2007 16:31:33
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