BRAVO for Many-Server QED Systems with Finite Buffers

Publisher: Cambridge University Press

E-ISSN: 1475-6064|47|1|231-250

ISSN: 0001-8678

Source: Advances in Applied Probability, Vol.47, Iss.1, 2015-03, pp. : 231-250

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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.