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Queueing Systems

, Volume 55, Issue 4, pp 251–254 | Cite as

A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs

  • Krzysztof Dębicki
  • Michel Mandjes
Article

Abstract

In a previous study by Dębicki and van Uitert (Queueing Syst. 54, 111–120, 2006) logarithmic large-buffer asymptotics were derived for a two-class generalized processor sharing system with Gaussian inputs, for three of the four possible scenarios. In this note we show how the large-buffer asymptotics for the remaining fourth regime follow from a recently derived result for tandem systems. We also provide a heuristic interpretation of the result.

Keywords

Generalized processor sharing Fractional Brownian motion 

Mathematics Subject Classification (2000)

60K25 68M20 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Instytut MatematycznyUniversity of WrocławWrocławPoland
  2. 2.Korteweg-de Vries InstituteUniversity of AmsterdamAmsterdamthe Netherlands

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