3/01/2012

Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication (Stochastic Modelling and Applied Probability) Review

Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication (Stochastic Modelling and Applied Probability)
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A well written book on the subject of storage processes from a theoretical point of view. It does not have an applied flavour or is prone to numerical evaluations. The level and the style however is complementary to other texts. So, I consider this a nice book to have in addition to other more basic texts.

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A self-contained treatment of stochastic processes arising from models for queues, insurance risk, and dams and data communication, using their sample function properties. The approach is based on the fluctuation theory of random walks, L vy processes, and Markov-additive processes, in which Wiener-Hopf factorisation plays a central role. This second edition includes results for the virtual waiting time and queue length in single server queues, while the treatment of continuous time storage processes is thoroughly revised and simplified. With its prerequisite of a graduate-level course in probability and stochastic processes, this book can be used as a text for an advanced course on applied probability models.

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