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A note on the delay distribution in GPS |
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| Authors: | P. Lieshout M. Mandjes |
| Affiliation: | a CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands b Kortweg-de Vries Institute, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands c EURANDOM, P.O. Box 513, 5600 MB Eindhoven, The Netherlands |
| 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. |
| Keywords: | Generalized processor sharing Gaussian traffic Delay probabilities Sample-path large deviations Many-sources asymptotics |
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