Analysis of deterministic servers with Ornstein-Uhlenbeck input process for voice traffic multiplexing

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Gerhard Hasslinger, Markus Fiedler
Title: Analysis of deterministic servers with Ornstein-Uhlenbeck input process for voice traffic multiplexing
Translated title: Analys av deterministiska servers med Ornstein-Uhlenbeck ankomst process för multiplexering av rösttrafik
Conference name: European Simulation Multiconference
Year: 2001
Pagination: 823-827
ISBN: 1-56555-225-3
Publisher: SCS Europe Bvba
City: Prague
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 Ornstein-Uhlenbeck process (OUP) is a Markovian and Gaussian process closely related to a first order autoregressive process (AR(1)). The superposition of voice or other homogeneous traffic sources asymptotically approaches an OUP in continuous time or an AR(1) in discrete time models, respectively.
Performance results for a multiplexer with OUP input (OUP/D/1) are obtained based on functions of a single system parameter, We use fluid flow analysis and an approach for discrete time semi-Markovian systems to analyze the OUP/D/1 queueing system. A comparison of waiting time quantiles for input from a limited number of voice sources with the OUP/D/1 results indicates rather small deviations already for a moderate number of sources.
Summary in Swedish: Det tas fram en approximation för väntetiden som överskrids av bara 1 % av alla röstpaket som måste köas i en flaskhals. Approximationens kvalitet visas genom jämförelse med flödesmodellberäkningar.
Subject: Telecommunications\Fluid Flow Models
Telecommunications\Modelling of Bursty Traffics
Keywords: Ornstein-Uhlenbeck processes, autoregressive processes, fluid flow analysis, semi-Markovian analysis, statistical multiplexing, voice traffic, quality of service
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