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Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication (Stochastic Modelling and Applied Probability (15)) by N. U. Prabhu (auth.) is a nonfiction available to read on EtoBox.

What is Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication (Stochastic Modelling and Applied Probability (15)) about?

This is a revised and expanded version of the earlier edition. The new material is on Markov-modulated storage processes arising from queueing and data commu nication models. The analysis of these models is based on the fluctuation theory of Markov-additive processes and their discrete time analogues, Markov random walks. The workload and queue length processes, omitted from the earlier edition, are also presented. In addition, many sections have been rewritten, with new re sults and proofs, as well as further examples. The mathematical level and style of presentation, however, remain the same. Chapter I contains a comprefensive treatment of the waiting time and related quantities in a single server queue, combining Chapters 1 and 2 of the earlier edition. In Chapter 2 we treat the (continuous time) workload and queue length processes using their semiregenerative properties. Also included are bulk queues omitted from the earlier edition, but included in its Russian translation. The queue MIMIl is presented in Chapter 3. This is the so-called simple queue, but its treat ment in most of the literature is far from simple. Our analysis of the queue length process is elementary and yiel

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Author

N. U. Prabhu (auth.)

Publisher

Springer-Verlag New York

Published

1998

Language

EN

ISBN

9781461217428

Category

nonfiction

Subjects

Mathematics, Science, Stem