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 Qts Plussoftware, 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.
İçerik tablosu
Dedication.
Preface.
1. Introduction.
1.1 Description of the Queueing Problem.
1.2 Characteristics of Queueing Processes.
1.3 Notation.
1.4 Measuring System Performance.
1.5 Some General Results.
1.6 Simple Data Bookkeeping for Queues.
1.7 Poisson Process and the Exponential Distribution.
1.8 Markovian Property of the Exponential Distribution.
1.9 Stochastic Processes and Markov Chains.
Problems.
2. Simple Markovian Queueing Models.
2.1 Birth Death Processes.
2.2 Single-Server Queues (M/M/1).
2.3 Multi-Server Queues (M/M/c).
2.4 Choosing the Number of Servers.
2.5 Queues with Truncation (M/M/c/K).
2.6 Erlang?s Loss Formula (M/M/c/c).
2.7 Queues with Unlimited Service (M/M/1).
2.8 Finite Source Queues.
2.9 State-Dependent Service.
2.10 Queues with Impatience.
2.11 Transient Behavior.
2.12 Busy-Period Analysis.
Problems.
3. Advanced Markovian Queueing Models.
3.1 Bulk Input (M[X]/M/1).
3.2 Bulk Service (M/M[Y ]/1).
3.3 Erlangian Models.
3.4 Priority Queue Disciplines.
3.5 Retrial Queues.
4. Networks, Series, and Cyclic Queues.
4.1 Series Queues.
4.2 Open Jackson Networks.
4.3 Closed Jackson Networks.
4.4 Cyclic Queues.
4.5 Extensions of Jackson Networks.
4.6 Non-Jackson Networks.
5. General Arrival or Service Patterns.
5.1 General Service, Single Server (M/G/1).
5.2 General Service, Multi-Server (M/G/c/ú, M/G/1).
5.3 General Input (G/M/1, G/M/c).
6. More General Models and Theoretical Topics.
6.1 G/Ek/1, G[k]/M/1, and G/PHk/1.
6.2 General Input, General Service (G/G/1) .
6.3 Multichannel Queues with Poisson Input and Constant Service(M/D/c).
6.4 Semi-Markov and Markov Renewal Processes in Queueing.
6.5 Other Queue Disciplines.
6.6 Design and Control of Queues.
6.7 Statistical Inference in Queueing.
7. Bounds and Approximations.
7.1 Bounds.
7.2 Approximations.
7.3 Network Approximations.
Problems.
8. Numerical Techniques and Simulation.
8.1 Numerical Techniques.
8.2 Numerical Inversion of Transforms.
8.3 Discrete-Event Stochastic Simulation.
Problems.
Bibliography.
Appendix 1. Symbols and Abbreviations.
Appendix 2. Tables.
Appendix 3. Transforms and Generating Functions.
A3.1 Laplace Transforms.
A3.2 Generating Functions.
Appendix 4. Differential and Difference Equations.
A4.1 Ordinary Differential Equations.
A4.2 Difference Equations.
Appendix 5. QTSPlus Software.
A5.1 Instructions for Downloading.
Yazar hakkında
DONALD GROSS, Ph D, is Distinguished Research Professor of Operations Research and Engineering at George Mason University and Professor Emeritus of Operations Research at The George Washington University. 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, Ph D, is Associate Professor in the Department of Systems Engineering and Operations Research at George Mason 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 the Federal 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, Ph D, was BDM International Professor and the founding chair of the Systems Engineering and Operations 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 the Institute for Operations Research and the Management Sciences(INFORMS) in 1999.
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