BRAVO for many-server QED systems with finite buffers

D.J. Daley, J.S.H. Leeuwaarden, van, J. Nazarathy

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

This paper demonstrates the occurrence of the feature called BRAVO (balancing reduces asymptotic variance of output) for the departure process of a finite-buffer Markovian many-server system in the QED (quality and efficiency-driven) heavy-traffic regime. The results are based on evaluating the limit of an equation for the asymptotic variance of death counts in finite birth-death processes. Keywords: Queueing system critical point stochastic process limit Poisson distribution asymptotics stationary Poisson queue asymptotics Halfin-Whitt regime queueing output variance asymptotics birth-death asymptotic variance
Original languageEnglish
Pages (from-to)231-250
Number of pages20
JournalAdvances in Applied Probability
Volume47
Issue number1
DOIs
Publication statusPublished - 2015

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