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Theses

Fluid Approximations for Stochastic Telecommunication Models

Laura Aspirot 1, 2
1 DIONYSOS - Dependability Interoperability and perfOrmance aNalYsiS Of networkS
Inria Rennes – Bretagne Atlantique , IRISA-D2 - RÉSEAUX, TÉLÉCOMMUNICATION ET SERVICES
Abstract : When modeling systems for their performance evaluation, one privileged tool is some form of Markov process, because of the rich set of results and associated algorithms. The drawback is that sometimes, the process has a huge number of states, or an infinite state space. In these situations, since analytical results are rare, almost always the solution to analyze the models is simulation. In this thesis we explore another possibility, called fluid limits, where a sequence of models is built with some parameter N associated with the individual model's size, in such a way that the performances of the Nth model gets close to that of the original system when N goes to infinity. We consider three families of systems/models and we explore this approach, obtaining results focused on understanding the meaning of this convergence phenomenon, and on the properties of the limiting models.
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https://hal.inria.fr/tel-02436267
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Submitted on : Wednesday, January 27, 2021 - 11:21:00 AM
Last modification on : Friday, January 21, 2022 - 3:20:00 AM

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PhD-LA-v2.pdf
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  • HAL Id : tel-02436267, version 2

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Laura Aspirot. Fluid Approximations for Stochastic Telecommunication Models. Modeling and Simulation. Universidad de la República - Montevideo, 2019. English. ⟨tel-02436267v2⟩

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