Fundamentals of Queueing Theory

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John Wiley & Sons, Sep 23, 2011 - Mathematics - 528 pages
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Praise for the Third Edition

"This is one of the best books available. Its excellentorganizational structure allows quick reference to specific modelsand its clear presentation . . . solidifies the understanding ofthe concepts being presented."
IIE Transactions on Operations Engineering

Thoroughly revised and expanded to reflect the latestdevelopments in the field, Fundamentals of Queueing Theory,Fourth Edition continues to present the basic statisticalprinciples that are necessary to analyze the probabilistic natureof queues. Rather than presenting a narrow focus on the subject,this update illustrates the wide-reaching, fundamental concepts inqueueing theory and its applications to diverse areas such ascomputer science, engineering, business, and operationsresearch.

This update takes a numerical approach to understanding andmaking probable estimations relating to queues, with acomprehensive outline of simple and more advanced queueing models.Newly featured topics of the Fourth Edition include:

  • Retrial queues

  • Approximations for queueing networks

  • Numerical inversion of transforms

  • Determining the appropriate number of servers to balance qualityand cost of service

Each chapter provides a self-contained presentation of keyconcepts and formulae, allowing readers to work with each sectionindependently, while a summary table at the end of the bookoutlines the types of queues that have been discussed and theirresults. In addition, two new appendices have been added,discussing transforms and generating functions as well as thefundamentals of differential and difference equations. New examplesare now included along with problems that incorporate QtsPlussoftware, which is freely available via the book's related Website.

With its accessible style and wealth of real-world examples,Fundamentals of Queueing Theory, Fourth Edition is an idealbook for courses on queueing theory at the upper-undergraduate andgraduate levels. It is also a valuable resource for researchers andpractitioners who analyze congestion in the fields oftelecommunications, transportation, aviation, and managementscience.

 

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Contents

Dedication
DISTRIBUTION
SIMPLE MARKOVIAN QUEUEING
CHAPTER
CHAPTER
CHAPTER
GENERAL MODELS
1GEK1G
NUMERICAL TECHNIQUES
REFERENCES
SYMBOLS AND ABBREVIATIONS
TABLES
TRANSFORMS AND GENERATING
DIFFERENTIAL AND DIFFERENCE
Index
Copyright

BOUNDS AND APPROXIMATIONS 7 1 BOUNDS

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About the author (2011)

DONALD GROSS, PhD, is Distinguished Research Professor ofOperations Research and Engineering at George Mason University andProfessor Emeritus of Operations Research at The GeorgeWashingtonUniversity. With over forty years of experience inacademia and consulting, Dr. Gross has published extensively in thearea of queueing applications to repairable item inventory control,air traffic control, and Internet congestion.

JOHN F. SHORTLE, PhD, is Associate Professor in theDepartment of Systems Engineering and Operations Research at GeorgeMason University. He has authored or coauthored over thirtypublished articles on the application of simulation and queueingtheory in telecommunications and aviation.

JAMES M. THOMPSON is an Enterprise Architect at theFederal Home Loan Mortgage Corporation. His current areas ofresearch interest include computer system performance modeling,system capacity studies and benchmarking, information architecture,and computational finance.

The Late CARL M. HARRIS, PhD, was BDM InternationalProfessor and the founding chair of the Systems Engineering andOperations Research Department at George Mason University. For hisresearch contributions to the areas of applied probability andstatistics, queueing theory, simulation, and public systemsanalysis, Dr. Harris was awarded the George E. Kimball Medal by theInstitute for Operations Research and the Management Sciences(INFORMS) in 1999.

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