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  • Stochastic Networks: Theory and Applications

    Stochastic Networks by Kelly, F. P.; Zachary, S.; Ziedins, I.;

    Theory and Applications

    Series: Royal Statistical Society Series; 4;

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      • Publisher's listprice GBP 84.00
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    Product details:

    • Publisher Clarendon Press
    • Date of Publication 5 September 1996

    • ISBN 9780198523994
    • Binding Hardback
    • No. of pages378 pages
    • Size 240x160x25 mm
    • Weight 692 g
    • Language English
    • Illustrations halftones, line figures
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    Short description:

    The theory of stochastic networks is an important and rapidly developing research area, driven in part by important industrial applications. This book provides a comprehensive survey of current research and the latest developments in the field. It focuses on mathematical modelling, optimal control, and the statistical analysis of network traffic. It also includes a comprehensive bibliography on the analysis of time series data with long-range dependence.

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    Long description:

    The theory of stochastic networks is an important and rapidly developing research area, driven in part by important industrial applications in the design and control of modern communications and manufacturing networks. This volume is a collections of invited papers written by some of the leading researchers in this field, and provides a comprehensive survey of current research and the very latest developments. With contributions from most of the world's foremost researchers the areas covered include the mathematical modelling and the optimal control of queueing and loss networks, and the statistical modelling and analysis of network data. Also containing a comprehensive and up-to-date bibliography of the statistical literature on long-range dependence and self-similarity in network traffic and other scientific and engineering applications this book will suit researchers, research institutes and industry throughout the world.

    ...illuminate(s) many features of current research, letting us see its concerns and its style.

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    Table of Contents:

    Convergence to equilibria for fluid models of FIFO and processor sharing queueing networks
    Optimal draining of fluid re-entrant lines: some solved examples
    On the approximation of queueing networks in heavy traffic
    The BIGSTEP approach to flow management in stochastic processing networks
    Queue lengths and departures at single-server resources
    Large deviations of stationary reflected Brownian motions
    Limit theorems for workload input models
    Notes on effective bandwidths
    Traffic characterisation and effective bandwidths for broadband network traces
    Nonparametric estimation for quantities of interest in queues
    The asymptotic behaviour of large loss networks
    Admission controls for loss networks with diverse routing
    On load balancing in Erlang networks
    Analysing system behaviour on different timescales
    Optimal returns and suboptimality bounds for systems satisfying generalised conservation laws
    Approximate solutions for open networks with breakdowns and repairs
    Stationary ergodic Jackson networks: results and counter-examplesFrancois Baccelli, Serguei Foss, and Jean Mairesse
    The Cesaro limit of departures from certain ./GI/1 queueing tandems
    The Poisson-independence hypothesis for infintely-growing fully-connected packet-switching networks
    A bibliographical guide to self-similar traffic and performance modeling for modern high-speed networks

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