References
Aghajani, R., Ramanan, K.: The limit of stationary distributions of many-server queues in the Halfin-Whitt regime. Math. Oper. Res. 45(3), 1016–1055 (2020)
Asmussen, S.: Applied probability and queues. volume 51 of Applications of Mathematics (New York). Springer-Verlag, New York, second edition, 2003. Stochastic Modelling and Applied Probability
Gamarnik, D., Goldberg, D.: Steady-state \(GI/GI/n\) queue in the Halfin-Whitt regime. Ann. Appl. Probab. 23(6), 2382–2419 (2013)
Halfin, S., Whitt, W.: Heavy-traffic limits for queues with many exponential servers. Oper. Res. 29(3), 567–588 (1981)
Kaspi, H., Ramanan, K.: SPDE limits of many-server queues. Ann. Appl. Probab. 23(1), 145–229 (2013)
Puhalskii, A.: Moderate deviations for queues in critical loading. Queueing Syst. Theory Appl. 31(3–4), 359–392 (1999)
Puhalskii, A.: Large deviation limits of invariant measures. arxiv preprint arxiv:2006.16456v2, (2021)
Puhalskii, A., Reed, J.: On many-server queues in heavy traffic. Ann. Appl. Probab. 20(1), 129–195 (2010)
Whitt, W.: Stochastic-process limits. Springer Series in Operations Research. Springer-Verlag, New York, 2002. An introduction to stochastic-process limits and their application to queues
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Puhalskii, A.A. Moderate deviation asymptotics of the GI/G/n queue in the Halfin–Whitt regime. Queueing Syst 100, 341–343 (2022). https://doi.org/10.1007/s11134-022-09769-4
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DOI: https://doi.org/10.1007/s11134-022-09769-4