| Article ID: | iaor20102801 |
| Volume: | 36 |
| Issue: | 1 |
| Start Page Number: | 117 |
| End Page Number: | 122 |
| Publication Date: | Jan 2008 |
| Journal: | Operations Research Letters |
| Authors: | Mandjes M, Lieshout P |
| Keywords: | processor sharing queues |
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.