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Recent ordinary differential equation (ODE) based techniques allow efficient analysis of Markovian population models with extremely large state spaces. In most cases of realistic scale, they provide the only alternative to stochastic simulation. Moreover, numerical solution of the ODEs is cheaper computationally than simulation by orders of magnitude. We present the Grouped PEPA Analyser (GPA) tool...
In this paper we model peer-to-peer systems where content may become unavailable. First, using Markov Chains we capture the impact of parameters such as the server upload rate and the popularity of the files on the performance of the system. Then, we show the applicability of our model to the problem of optimal bundling. Bundling files together, rather than disseminating them separately, is a possible...
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