A note on the delay distribution in GPS

Lieshout, Pascal; Mandjes, Michel

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.

Additional Metadata
Keywords	Generalized processor sharing, Gaussian traffic, Delay probabilities, Sample-path large deviations, Many-sources asymptotics"
MSC	Gaussian processes (msc 60G15), Queueing theory (msc 60K25)
THEME	Logistics (theme 3), Energy (theme 4)
Publisher	CWI
Series	CWI. Probability, Networks and Algorithms [PNA]
Organisation	Stochastics
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Lieshout, P., & Mandjes, M. (2007). A note on the delay distribution in GPS. CWI. Probability, Networks and Algorithms [PNA]. CWI.

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