Large Deviations for Gaussian Queues

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Modelling Communication Networks

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ISBN: 9780470015230 Category:

In recent years the significance of Gaussian processes to communication networks has grown considerably. The inherent flexibility of the Gaussian traffic model enables the analysis, in a single mathematical framework, of systems with both long-range and short-range dependent input streams. <p><i>Large Deviations for Gaussian Queues</i> demonstrates how the Gaussian traffic model arises naturally, and how the analysis of the corresponding queuing model can be performed. The text provides a general introduction to Gaussian queues, and surveys recent research into the modelling of communications networks. Coverage includes:</p> <ul> <li>Discussion of the theoretical concepts and practical aspects related to Gaussian traffic models.</li> <li>Analysis of recent research asymptotic results for Gaussian queues, both in the large-buffer and many-sources regime.</li> <li>An emphasis on rare-event analysis, relying on a variety of asymptotic techniques.</li> <li>Examination of single-node FIFO queuing systems, as well as queues operating under more complex scheduling disciplines, and queuing networks.</li> <li>A set of illustrative examples that directly relate to important practical problems in communication networking.</li> <li>A large collection of instructive exercises and accompanying solutions.</li> </ul> <p><i>Large Deviations for Gaussian Queues</i> assumes minimal prior knowledge. It is ideally suited for postgraduate students in applied probability, operations research, computer science and electrical engineering. The book’s self-contained style makes it perfect for practitioners in the communications networking industry and for researchers in related areas.</p>