A note on the delay distribution in GPS

Authors:
P. Lieshout;M. Mandjes
Affiliations:
CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands;CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands and Kortweg-de Vries Institute, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands and EURANDOM, P.O. Box ...
Venue:
Operations Research Letters
Year:
2008

Citing 4
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Abstract

In this note a two-class generalized processor sharing (GPS) system is considered. We analyze the probability that the virtual delay of a particular class exceeds some threshold. We apply Schilder's theorem to calculate the logarithmic many-sources asymptotics of this probability in the important case of Gaussian inputs.