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1 results

  • Moderate deviations of many-server queues via idempotent processes

  • Part of
  • Anatolii Puhalskii
  • Journal:
    Advances in Applied Probability , First View
    Published online by Cambridge University Press:
    20 December 2024, pp. 1-35
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  • This paper obtains logarithmic asymptotics of moderate deviations of the stochastic process of the number of customers in a many-server queue with generally distributed inter-arrival and service times under a heavy-traffic scaling akin to the Halfin–Whitt regime. The deviation function is expressed in terms of the solution to a Fredholm equation of the second kind. A key element of the proof is the large-deviation principle in the scaling of moderate deviations for the sequential empirical process. The techniques of large-deviation convergence and idempotent processes are used extensively.