Waiting Time Quantiles for the Gaussian Voice Traffic Model

Document type: Miscellaneous
Author(s): Markus Fiedler, Gerhard Hasslinger
Title: Waiting Time Quantiles for the Gaussian Voice Traffic Model
Translated title: Väntetidskvantiler för Gauss-rösttrafiksmodellen
Type of publication: COST 279 Technical Document 279TD(02)013
Year: 2002
Organization: Blekinge Institute of Technology
Department: Department of Telecommunications and Signal Processing (Institutionen för telekommunikation och signalbehandling)
Department of Telecommunications and Signal Processing S-372 25 Ronneby
+46 455 38 50 00
Authors e-mail: markus.fiedler@bth.se
Language: English
Abstract: Traffic models with a rate varying according to a Gaussian distribution are commonly used to evaluate statistical multiplexing in telecommunication systems. The
superposition of a large number of homogeneous Markovian On-Off sources asymptotically approaches an Ornstein-Uhlenbeck process (OUP) which represents a Gaussian process with exponential autocorrelation function. The workload analysis for a multiplexer with OUP input leads to a simple and clearly structured dependence of waiting time quantiles on system and quality of service parameters. Semi-Markovian fitting procedures as well as the fluid flow method provide independent analysis ap-proaches at an assured accuracy level. The comparison of the corresponding waiting time quantiles shows the suitability of assuming traffic to be Gaussian already for a moderate number of traffic sources.
Summary in Swedish: Pappret presenterar och dikuterar en enkel approximationsformel som kan användas bl a för att dimensionera en nätverkslänk på ett sådant sätt att en önskad väntetid överskris enbart med typ 1 % sannolikhet. Statistisk multiplexeringsvinst, Gauss trafik, On-Off källor, tjänstekvalitet, väntetidskvantil
Subject: Telecommunications\Fluid Flow Models
Telecommunications\Modelling of Bursty Traffics
Keywords: Statistical multiplexing gain, Gaussian traffic, On-Off sources, QoS