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Modèles Analytiques de Routeurs

Emmanuel Besson (2010)

RAIRO - Operations Research

We focus on performance study of routers in high-speed network through a queuing network analytical model. Such a model gives accurate results about classical performance criteria. For example, analytical study of packet loss probabilities in a router uses a product-form queuing network. The analytical results are compared to simulation results, and they provide routers managers with invaluable information for internal memories tuning.

Monte Carlo simulation and analytic approximation of epidemic processes on large networks

Noémi Nagy, Péter Simon (2013)

Open Mathematics

Low dimensional ODE approximations that capture the main characteristics of SIS-type epidemic propagation along a cycle graph are derived. Three different methods are shown that can accurately predict the expected number of infected nodes in the graph. The first method is based on the derivation of a master equation for the number of infected nodes. This uses the average number of SI edges for a given number of the infected nodes. The second approach is based on the observation that the epidemic...

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