Authors:
- Comprehensive update of all kinds of vacation models. Moreover, it's the first time G1/M/1 multi-server vacation models, both continuous and discrete, and the optimization and control issues are presented in a book
- Updates results for MAP arrival vacation models, the finite buffer models, and bulk queue or batch service vacations, all of which are discussed in a systematic treatment
- Stochastic decomposition theorems are established as the core of the vacation queueing theory
- The presentation style is unique compared with the books published in the same field – a "theorem and proof" format is used
- Includes supplementary material: sn.pub/extras
Part of the book series: International Series in Operations Research & Management Science (ISOR, volume 93)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
A classical queueing model consists of three parts - arrival process, service process, and queue discipline. However, a vacation queueing model has an additional part - the vacation process which is governed by a vacation policy - that can be characterized by three aspects: 1) vacation start-up rule; 2) vacation termination rule, and 3) vacation duration distribution. Hence, vacation queueing models are an extension of classical queueing theory.
Vacation Queueing Models: Theory and Applications discusses systematically and in detail the many variations of vacation policy. By allowing servers to take vacations makes the queueing models more realistic and flexible in studying real-world waiting line systems. Integrated in the book's discussion are a variety of typical vacation model applications that include call centers with multi-task employees, customized manufacturing, telecommunication networks, maintenance activities, etc. Finally, contents are presented in a "theorem and proof" format and it is invaluable reading for operations researchers, applied mathematicians, statisticians; industrial, computer, electrical and electronics, and communication engineers; computer, management scientists; and graduate students in the above disciplines.
Reviews
From the reviews:
"This book provides a comprehensive, up-to-date treatment of various queueing systems with server vacations. … The book can be used as a reference on vacation queueing systems by both researchers and practitioners." (Dieter Fiems, Journal of the American Statistical Association, Vol. 103 (484), December, 2008)
Authors and Affiliations
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Yanshan University, Qinhuangdao, China
Naishuo Tian
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Western Washington University, Bellingham, USA
Zhe George Zhang
Bibliographic Information
Book Title: Vacation Queueing Models
Book Subtitle: Theory and Applications
Authors: Naishuo Tian, Zhe George Zhang
Series Title: International Series in Operations Research & Management Science
DOI: https://doi.org/10.1007/978-0-387-33723-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-33721-0Published: 23 August 2006
Softcover ISBN: 978-1-4419-4146-6Published: 10 November 2010
eBook ISBN: 978-0-387-33723-4Published: 11 October 2006
Series ISSN: 0884-8289
Series E-ISSN: 2214-7934
Edition Number: 1
Number of Pages: XII, 386
Number of Illustrations: 8 b/w illustrations
Topics: Probability Theory and Stochastic Processes, Operations Research/Decision Theory, Mathematical Modeling and Industrial Mathematics, Mathematics of Computing, Computer Systems Organization and Communication Networks, Operations Management