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Quality-of-Service Analysis for Statistical Multiplexing with Gaussian Distributed and Autoregressive Input

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Abstract

We investigate multiplexers in telecommunication systems with a workload process developing equivalent to that of a service system with semi-Markovian input, which includes fluid flow and time slotted systems. Discrete time methods are used to analyze their waiting time and loss rate.

Our focus is on the performance evaluation of statistical multiplexing. Traffic flows are modeled by autoregressive processes producing autocorrelated and Gaussian distributed workload increases. The superposition of on-off voice sources approaches autoregressive processes and they also serve as a basic model for video traffic in an appropriate time scale, although video reveals a more complex autocorrelation structure. Performance results are obtained depending on only two parameters, which allow for clear conclusions about the statistical multiplexing gain with regard to bounds on loss rates as demanded in quality-of-service guarantees.

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Authors and Affiliations

  1. Deutsche Telekom, Technologiezentrum, Am Kavalleriesand 3, D-64295, Darmstadt, Germany

    Gerhard Hasslinger

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  1. Gerhard Hasslinger
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Hasslinger, G. Quality-of-Service Analysis for Statistical Multiplexing with Gaussian Distributed and Autoregressive Input. Telecommunication Systems 16, 315–334 (2001). https://doi.org/10.1023/A:1016658826166

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