Generalised queue networks in a stochastic environment

Generalised queue networks in a stochastic environment

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Article ID: iaor20052764
Country: France
Volume: 34
Issue: 4
Start Page Number: 427
End Page Number: 448
Publication Date: Oct 2000
Journal: RAIRO Operations Research
Authors: ,
Keywords: queues: theory
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.

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