On Large Queue Lengths in Generalised Jackson Networks
A.A. Puhalskii
2025, v.31, Issue 3-4, 265-279
ABSTRACT
This paper proves a large deviation principle (LDP) for the stationary distribution of queue lengths in a subcritical generalised Jackson network assuming the Cramèr condition on the interarrival and service times. The deviation function is given by the quasipotential.
doi:10.61102/1024-2953-mprf.2025.31.3-4.006
Keywords: large deviation principle, stationary distributions, idempotent processes
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