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- P. M. D. Lieshout, A. Volgenant
- European Journal of Operational Research
- 2007

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. 2000 Mathematics Subject… (More)

- P. M. D. Lieshout, ACADEMISCH PROEFSCHRIFT, P. M. D. Lieshout
- 2008

Contents 1 Introduction 1 1.

We consider a network supporting elastic traffic, where the service capacity is shared among the various classes according to an alpha-fair sharing policy. Assuming Poisson arrivals and exponentially distributed service requirements for each class, the dynamics of the user population may be described by a Markov process. We focus on the probability that,… (More)

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