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OCLC number
Wang, Yun,1959-
Modeling and performance analysis of queueing systems.
M. Sc. -- University of Calgary, 1993
Ottawa :National Library of Canada = Bibliothè€que nationale du Canada,1993.
2 microfiches.
University Microfilms order no. UMI00430017.
Includes bibliographical references.
Studies in the modeling of input traffic and the performance analysis of queueing systems with bursty input based on the principle of maximum entropy and of queueing theory are presented. The method of entropy maximization is applied to study both the single server and multiserver queueing systems. Then, two types of bursty input traffic are investigated. For a bulk data input, two equivalent arrival processes are obtained. For a doubly stochastic Poisson input, an approximation by a two-state Markov modulated Poisson process and the associated interarrival time distribution are determined. Finally the performance analysis of queueing systems with these two bursty inputs is investigated. Results for the mean delay, the mean queue length, the waiting time distribution and the state probability distribution are derived. Comparisons of theoretical results with simulation results show good accuracy of the modeling of the input traffic and the approaches employed in the performance analysis of queueing systems.
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