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generalized network.

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G-Réseaux dans un environnement aléatoire
Jean-Michel Fourneau, Dominique Verchère
Journal:

RAIRO - Operations Research / Volume 34 / Issue 4 / October 2000

Published online by Cambridge University Press:

15 August 2002, pp. 427-448

Print publication:

October 2000
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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.