On large queue lengths in generalised Jackson networks
Probability
2025-12-23 v1
Abstract
This paper proves a large deviation principle (LDP) for the stationary distribution of queue lengths in a subcritical generalised Jackson network assuming a Cramer condition on the interarrival and service times. The deviation function is given by the quasipotential.
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Cite
@article{arxiv.2512.19098,
title = {On large queue lengths in generalised Jackson networks},
author = {Anatolii A. Puhalskii},
journal= {arXiv preprint arXiv:2512.19098},
year = {2025}
}