Moderate deviations of many-server queues in the Halfin-Whitt regime and weak convergence methods
Probability
2025-01-29 v3
Abstract
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 interarrival and service times in the Halfin--Whitt heavy traffic regime. The deviation function is expressed in terms of the solution to a Fredholm equation of the second kind. The proof uses characterisation of large deviation relatively compact sequences of probability measures as exponentially tight ones.
Keywords
Cite
@article{arxiv.2305.01612,
title = {Moderate deviations of many-server queues in the Halfin-Whitt regime and weak convergence methods},
author = {Anatolii Puhalskii},
journal= {arXiv preprint arXiv:2305.01612},
year = {2025}
}