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Journal articles
Analysis of Loss Networks with Routing
Abstract : This paper analyzes stochastic networks consisting of finite capacity nodes with different classes of requests which move according to some routing policy. The Markov processes describing these networks do not have, in general, reversibility properties so that the explicit expression of their invariant distribution is not known. A heavy traffic limit regime is considered: the arrival rates of calls as well as the capacities of the nodes are proportional to a factor going to infinity. It is proved that, in the limit, the associated rescaled Markov process converges to a deterministic dynamical system with a unique equilibrium point characterized by a non-standard fixed point equation.
Cited literature [8 references]
https://hal.inria.fr/inria-00000959
Contributor : Philippe Robert <>
Submitted on : Wednesday, April 26, 2006 - 6:56:48 PM
Last modification on : Friday, March 27, 2020 - 4:01:24 AM
Long-term archiving on: : Thursday, September 23, 2010 - 4:09:13 PM
Contributor : Philippe Robert <>
Submitted on : Wednesday, April 26, 2006 - 6:56:48 PM
Last modification on : Friday, March 27, 2020 - 4:01:24 AM
Long-term archiving on: : Thursday, September 23, 2010 - 4:09:13 PM