Applied Probability and Queues

This book is an introduction to queueing theory. It provides a thorough treatment of Markov processes, renewal theory, regenerative processes, and random walks and discusses in some detail basic models including G1/G/I queue, risk processes, and dams. Particular attention has been given to modern probablistic points of view, as alternatives to traditional methods. Exercises are included and a survey of mathematical prerequisites are given in an appendix. This new edition has been thoroughly updated.

Includes supplementary material: sn.pub/extras

Klappentext
"This book is a highly recommendable survey of mathematical tools and results in applied probability with special emphasis on queueing theory....The second edition at hand is a thoroughly updated and considerably expended version of the first edition.... This book and the way the various topics are balanced are a welcome addition to the literature. It is an indispensable source of information for both advanced graduate students and researchers." --MATHEMATICAL REVIEWS

Inhalt
Simple Markovian Models.- Markov Chains.- Markov Jump Processes.- Queueing Theory at the Markovian Level.- Queueing Networks and Insensitivity.- Some General Tools and Methods.- Renewal Theory.- Regenerative Processes.- Further Topics in Renewal Theory and Regenerative Processes.- Random Walks.- Lévy Processes, Reflection and Duality.- Special Models and Methods.- Steady-State Properties of of GI/G/1.- Markov Additive Models.- Many-Server Queues.- Exponential Change of Measure.- Dams, Inventories and Insurance Risk.

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