Large buffer asymptotics for generalized processor sharing queues with Gaussian inputs |
| |
Authors: | Krzysztof D?bicki Miranda van Uitert |
| |
Institution: | (1) Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland;(2) Netherlands Cancer Institute, Plesmanlaan 121, 1066 CX Amsterdam, The Netherlands |
| |
Abstract: | In this paper we derive large-buffer asymptotics for a two-class Generalized Processor Sharing (GPS) model. We assume both
classes to have Gaussian characteristics. We distinguish three cases depending on whether the GPS weights are above or below
the average rate at which traffic is sent. First, we calculate exact asymptotic upper and lower bounds, then we calculate
the logarithmic asymptotics, and finally we show that the decay rates of the upper and lower bound match. We apply our results
to two special Gaussian models: the integrated Gaussian process and the fractional Brownian motion. Finally we derive the
logarithmic large-buffer asymptotics for the case where a Gaussian flow interacts with an on-off flow.
AMS Subject Classification Primary—60K25; Secondary—68M20, 60G15 |
| |
Keywords: | Large-buffer asymptotics Gaussian traffic Generalized processor sharing Communication networks Differentiated services |
本文献已被 SpringerLink 等数据库收录! |
|