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: | Fourneau Jean-Michel, Verchre Dominique |
Keywords: | queues: theory |
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.