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G-Réseaux dans un environnement aléatoire

Jean-Michel Fourneau, Dominique Verchère (2010)

RAIRO - Operations Research

We study networks with positive and negative customers (or Generalized networks of queues and signals) in a random environment. This environment may change the arrival rates, the routing probabilities, the service rates and also the effect of signals. We prove that the steady-state distribution has a product form. This property is obtained as a corollary of a much more general result on multidimensional Markov chains.

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