G-Réseaux dans un environnement aléatoire

Jean-Michel Fourneau; Dominique Verchère

RAIRO - Operations Research (2010)

  • Volume: 34, Issue: 4, page 427-448
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Fourneau, Jean-Michel, and Verchère, Dominique. "G-Réseaux dans un environnement aléatoire." RAIRO - Operations Research 34.4 (2010): 427-448. <http://eudml.org/doc/197804>.

@article{Fourneau2010,
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. },
author = {Fourneau, Jean-Michel, Verchère, Dominique},
journal = {RAIRO - Operations Research},
keywords = {Queues; product form; random environment; generalized network.; queues; generalized network},
language = {fre},
month = {3},
number = {4},
pages = {427-448},
publisher = {EDP Sciences},
title = {G-Réseaux dans un environnement aléatoire},
url = {http://eudml.org/doc/197804},
volume = {34},
year = {2010},
}

TY - JOUR
AU - Fourneau, Jean-Michel
AU - Verchère, Dominique
TI - G-Réseaux dans un environnement aléatoire
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 4
SP - 427
EP - 448
AB - 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.
LA - fre
KW - Queues; product form; random environment; generalized network.; queues; generalized network
UR - http://eudml.org/doc/197804
ER -

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