On the rate of convergence to stationarity of the M/M/\(n\) queue in the Halfin-Whitt regime
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Publication:373837
DOI10.1214/12-AAP889zbMath1287.60111arXiv1003.2004MaRDI QIDQ373837
David A. Goldberg, David Gamarnik
Publication date: 25 October 2013
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.2004
rate of convergenceweak convergenceorthogonal polynomialsspectral gapparabolic cylinder functionsmany-server queues
Related Items (14)
Justifying diffusion approximations for multiclass queueing networks under a moment condition ⋮ Approximate Description of Dynamics of a Closed Queueing Network Including Multi-servers ⋮ Join-the-shortest queue diffusion limit in Halfin-Whitt regime: sensitivity on the heavy-traffic parameter ⋮ Scalable Load Balancing in Networked Systems: A Survey of Recent Advances ⋮ Some asymptotic results for the transient distribution of the Halfin–Whitt diffusion process ⋮ Rate of convergence to stationarity of the system \( M / M / N / N + R \) ⋮ An Analysis of a Large-Scale Machine Repair Model ⋮ Join-the-shortest queue diffusion limit in Halfin-Whitt regime: tail asymptotics and scaling of extrema ⋮ Transient behavior of the Halfin-Whitt diffusion ⋮ The rate of convergence to stationarity forM/G/1 models with admission controls via coupling ⋮ First Passage Times to Congested States of Many-Server Systems in the Halfin–Whitt Regime ⋮ QED limits for many-server systems under a priority policy ⋮ Economies-of-Scale in Many-Server Queueing Systems: Tutorial and Partial Review of the QED Halfin--Whitt Heavy-Traffic Regime ⋮ Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits
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