Abstract
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.
Citation
I. Iscoe. D. McDonald. "Asymptotics of Exit Times for Markov Jump Processes. II: Applications to Jackson Networks." Ann. Probab. 22 (4) 2168 - 2182, October, 1994. https://doi.org/10.1214/aop/1176988498
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