We show that a Jackson network relaxes exponentially fast to its steady state by giving a lower bound on the Cheeger constant for the associated Markov process. We also give lower bounds on the mean time until some node of the network overflows.
Publié le : 1994-10-14
Classification:
Jackson networks,
asymptotic exponentiality,
Cheeger constant,
60J75,
60K30
@article{1176988498,
author = {Iscoe, I. and McDonald, D.},
title = {Asymptotics of Exit Times for Markov Jump Processes. II: Applications to Jackson Networks},
journal = {Ann. Probab.},
volume = {22},
number = {4},
year = {1994},
pages = { 2168-2182},
language = {en},
url = {http://dml.mathdoc.fr/item/1176988498}
}
Iscoe, I.; McDonald, D. Asymptotics of Exit Times for Markov Jump Processes. II: Applications to Jackson Networks. Ann. Probab., Tome 22 (1994) no. 4, pp. 2168-2182. http://gdmltest.u-ga.fr/item/1176988498/