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Queues : A Course in Queueing Theory. 2013 ed..
・ISBN 978-1-4939-0113-5 paper EUR 64.99
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| 著者・編者 | Haviv, Moshe, |
|---|---|
| シリーズ | International Series in Operations Research & Management Science |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2015 |
| ページ数 | 221 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-24914> |
解説
Queueing theory (the mathematical theory of waiting lines in all its configurations) continues to be a standard major area of operations research on the stochastic side. Therefore, universities with an active program in operations research sometimes will have an entire course devoted mainly or entirely to queueing theory, and the course is also taught in computer science, electrical engineering, mathematics, and industrial engineering programs.
The basic course in queueing theory is often taught at first year graduate level, though can be taught at senior level undergraduate as well. This text evolved from the author's preferred syllabus for teaching the course, presenting the material in a more logical order than other texts and so being more effective in teaching the basics of queueing theory.
The first three chapters focus on the needed preliminaries, including exposition distributions, Poisson processes and generating functions, renewal theory, and Markov chains, Then, rather than switching to first-come first-served memoryless queues here as most texts do, Haviv discusses the M/G/1 model instead of the M/M/1, and then covers priority queues. Later chapters cover the G/M/1 model, thirteen examples of continuous-time Markov processes, open networks of memoryless queues and closed networks, queueing regimes with insensitive parameters, and then concludes with two-dimensional queueing models which are quasi birth and death processes. Each chapter ends with exercises.