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arXiv · 2512.19098

On large queue lengths in generalised Jackson networks

Anatolii A. Puhalskii
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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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Anatolii A. Puhalskii. 2025-12-22. On large queue lengths in generalised Jackson networks. https://arxiv.org/abs/2512.19098

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