Distribution-valued heavy-traffic limits for the \(\mathrm{G}/\mathrm{GI}/\infty\) queue

DOI10.1214/14-AAP1027zbMath1315.60102arXiv0902.2236MaRDI QIDQ2346077

Josh Reed, Rishi Talreja

Publication date: 29 May 2015

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2236

zbMATH Keywords

queueingMarkov processcentral limit theoremOrnstein-Uhlenbeck processesheavy-traffic limitsinfinite servertempered distribution-valued processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Queueing theory (aspects of probability theory) (60K25)

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