Abstract
This paper presents a novel discrete-time ATM traffic model which exhibits a long range dependence character. The process results from the superposition of an infinite number of on/off sources which have an increasing mean on and off period duration. The condition under which the process has the long range dependence property is a simple function of the parameters of the on/off sources. Moreover, the Hurst parameter of the process is given explicitly. By considering the traffic model in a matrix-analytic setting, the behaviour of a queueing system with this traffic as input, can be analyzed. Also the correlation structure is characterized by means of the Index of Dispersion for Counts and its limit is investigated. Numerical examples illustrate the properties of this process.
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© 1998 Springer Science+Business Media Dordrecht
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Daniëls, T., Blondia, C. (1998). A discrete-time ATM traffic model with long range dependence characteristics. In: Hasegawa, T., Takagi, H., Takahashi, Y. (eds) Performance and Management of Complex Communication Networks. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35360-9_6
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DOI: https://doi.org/10.1007/978-0-387-35360-9_6
Publisher Name: Springer, Boston, MA
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