Telecommunication traffic,queueing models,and subexponential distributions |
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| Authors: | Greiner Michael Jobmann Manfred Klüppelberg Claudia |
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| Institution: | (1) Department of Computer Science, Munich University of Technology, D-80290 Munich, Germany;(2) Center of Mathematical Sciences, Munich University of Technology, D-80290 Munich, Germany |
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| Abstract: | This article reviews various models within the queueing framework which have been suggested for teletraffic data. Such models
aim to capture certain stylised features of the data, such as variability of arrival rates, heavy-tailedness of on- and off-periods
and long-range dependence in teletraffic transmission. Subexponential distributions constitute a large class of heavy-tailed
distributions, and we investigate their (sometimes disastrous) influence within teletraffic models. We demonstrate some of
the above effects in an explorative data analysis of Munich Universities’ intranet data.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | buffer overflow fluid queue GI/G/1 queue heavy-tailed distribution function Lindley’ s equation long-range dependence power-law tail queue-length distribution regularly varying functions subexponential distributions on/off process stationary waiting time distribution truncated power-law tail |
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