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G-Réseaux dans un environnement aléatoire

Published online by Cambridge University Press:  15 August 2002

Jean-Michel Fourneau  and
Dominique Verchère
Jean-Michel Fourneau
Affiliation:
PRSM, Université de Versailles Saint-Quentin, 45 avenue des États-Unis, 78035 Versailles Cedex, France.
Dominique Verchère
Affiliation:
Alcatel, Corporate Research Center, Marcoussis, France.
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Abstract

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.

Keywords

Queuesproduct formrandom environmentgeneralized network.
Type
Research Article
Information
RAIRO - Operations Research , Volume 34 , Issue 4 , October 2000 , pp. 427 - 448
Copyright
© EDP Sciences, 2000

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