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

Authors:
Krzysztof Dębicki;Michel Mandjes
Affiliations:
Instytut Matematyczny, University of Wrocław, Wrocław, Poland 50-384;Korteweg-de Vries Institute, University of Amsterdam, Amsterdam, the Netherlands
Venue:
Queueing Systems: Theory and Applications
Year:
2007

Citing 3
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Abstract

In a previous study by D驴bicki 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.