Document Type thesis Author Name Staake, Thorsten R URN etd-0429102-123525 Title IP Traffic Statistics - A Markovian Approach Degree MS Department Electrical & Computer Engineering Advisors Matthew C. Bromberg, Advisor Donald R. Brown, Committee Member Mark L. Claypool, Committee Member Keywords fit parallel Erlang-K distributions to time series performance of channel assignment procedure Date of Presentation/Defense 2002-04-24 Availability unrestricted
Data originating from non-voice sources is expected to play an increasingly important role in the next generation mobile communication services. To plan these networks, a detailed understanding of their traffic load is essential. Recent experimental studies have shown that network traffic originating from data applications can be self-similar, leading to a different queueing behavior than predicted by conventional traffic models. Heavy tailed probability distributions are appropriate for capturing this property, but including those random processes in a performance analysis makes it difficult and often impossible to find numerical results.
In this thesis three related topics are addressed: It is shown that Markovian models with a large state space can be used to describe traffic which is self-similar over a large time scale, a Maximum Likelihood approach to fit parallel Erlang-k distributions directly to time series is developed, and the performance of a channel assignment procedure in a wireless communication network is evaluated using the above mentioned techniques to set up a Markovian model. Outcomes of the performance analysis are blocking probabilities and latency due to restrictions of the channel assignment procedure as well as estimations of the overall bandwidth that the system is required to offer in order to support a given number of users.
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