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Research demonstrates the large deviation principle for queue lengths in generalized Jackson networks, indicating significant implications for network performance.
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.
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A. Puhalskii (2026) studied this question.
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