Synopses & Reviews
Praise for the Third Edition: "This is one of the best books available. Its excellent organizational structure allows quick reference to specific models and its clear presentation . . . solidifies the understanding of the concepts being presented."
—IIE Transactions on Operations Engineering
Thoroughly revised and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fourth Edition continues to present the basic statistical principles that are necessary to analyze the probabilistic nature of queues. Rather than presenting a narrow focus on the subject, this update illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research.
This update takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive 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 quality and cost of service
Each chapter provides a self-contained presentation of key concepts and formulae, allowing readers to work with each section independently, while a summary table at the end of the book outlines the types of queues that have been discussed and their results. In addition, two new appendices have been added, discussing transforms and generating functions as well as the fundamentals of differential and difference equations. New examples are now included along with problems that incorporate QtsPlus software, which is freely available via the book's related Web site.
With its accessible style and wealth of real-world examples, Fundamentals of Queueing Theory, Fourth Edition is an ideal book for courses on queueing theory at the upper-undergraduate and graduate levels. It is also a valuable resource for researchers and practitioners who analyze congestion in the fields of telecommunications, transportation, aviation, and management science.
Review
"...this is one of the best books available for use as a textbook for a course and for an applied reference book. Its excellent organizational structure allows quick reference to specific models and its clear presentation coupled with the use of the QTS software solidifies the understanding of the concepts being presented. I highly recommend this book to educators and applied researchers." --IEE Transactions on Operations Engineering
Synopsis
Praise for the Third Edition: "This is one of the best books available. Its excellent organizational structure allows quick reference to specific models and its clear presentation . . . solidifies the understanding of the concepts being presented."
—IIE Transactions on Operations Engineering
Thoroughly revised and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fourth Edition continues to present the basic statistical principles that are necessary to analyze the probabilistic nature of queues. Rather than presenting a narrow focus on the subject, this update illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research.
This update takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive 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 quality and cost of service
Each chapter provides a self-contained presentation of key concepts and formulae, allowing readers to work with each section independently, while a summary table at the end of the book outlines the types of queues that have been discussed and their results. In addition, two new appendices have been added, discussing transforms and generating functions as well as the fundamentals of differential and difference equations. New examples are now included along with problems that incorporate QtsPlus software, which is freely available via the book's related Web site.
With its accessible style and wealth of real-world examples, Fundamentals of Queueing Theory, Fourth Edition is an ideal book for courses on queueing theory at the upper-undergraduate and graduate levels. It is also a valuable resource for researchers and practitioners who analyze congestion in the fields of telecommunications, transportation, aviation, and management science.
Synopsis
This look at queueing theory stresses the fundamentals of the analytic modeling of queues. It features Excel and Quattro software that allows greater flexibility in the understanding of the nature, sensitivities and responses of waiting- line systems to parameter and environmental changes.
"...this is one of the best books available for use as a textbook for a course and for an applied reference book. Its excellent organizational structure allows quick reference to specific models and its clear presentation coupled with the use of the QTS software solidifies the understanding of the concepts being presented. I highly recommend this book to educators and applied researchers."--IEE Transactions on Operations Engineering
Synopsis
This updated and expanded edition of Fundamentals of Queueing Theorypresents the analytic modeling of queues in a very accessible style using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modeling remains virtually the same, scores of new material have been added to reflect the most recent approaches to the topic. Additionally, in the treatment of the advanced material, the authors have commingled mathematical details with numerical results and intuitive arguments.
Synopsis
This revised and expanded edition of Fundamentals of Queueing Theory presents the analytic modeling of queues using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modeling remains virtually the same, this new edition contains additional material (call centers and simulation), discussions (Transform Approximation Method and Level Crossing Analysis), and exercises. A fresh emphasis on the telecommunications boom enlivens the text, and spreadsheet programs for Excel and Quattro on the book's related Web site aids in understanding the sensitivity of waiting-line systems to parameter and environmental changes. Software programs for additional systems are spread throughout the text. In the treatment of the advanced material, the authors have commingled mathematical details with numerical results and intuitive arguments.
Related website http://mason.gmu.edu/~jshortle/fqt4th.html
Synopsis
Fundamentals of Queueing Theory, 4th Editionpresents the analytic modeling of queues using up-to-date examples and detailed coverage of the fundamentals of analytic modeling. A fresh emphasis on telecommunications enlivens the text, and spreadsheet programs for Excel and Quattro on the related Web site will help you understand the sensitivity of waiting-line systems to parameter and environmental changes. New material and discussions on call centers, numerical techniques (such as TAM, TRM, and LC), and simulation have been added. Software programs for additional systems, mathematical details with numerical results, and intuitive arguments are also included.
Synopsis
An updated and expanded edition of a highly successful textbook.
This updated and expanded edition of Fundamentals of Queueing Theory presents the analytic modeling of queues in a very accessible style using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modeling remains virtually the same, this new edition contains additional proofs (Erlang's loss formula), material (reversibility and mean-value analysis), and discussions (rootfinding involved in G/M/c). A fresh emphasis on the telecommunications boom enlivens the text, and a spreadsheet program for Excel and Quattro on the companion ftp site aids in understanding the sensitivity of waiting-line systems to parameter and environmental changes. In the treatment of the advanced material, the authors have commingled mathematical details with numerical results and intuitive arguments.
This comprehensive text/reference offers:
- New material, proofs, discussions, and processes
- Spreadsheet program for Excel and Quattro on the companion ftp site
- Illustrative examples and exercises to use with Excel and Quattro
- Boxed equations for easy reference
- Chapter problems
- An extensive solutions manual available upon request.
Description
Includes bibliographical references (p. 402-414) and index.
About the Author
DONALD GROSS is Research Professor in the Department of Operations Research and Engineering at George Mason University in Fairfax, Virginia. CARL M. HARRIS is BDM Professor of Operations Research and Associate Dean of the School of Information Technology and Engineering at George Mason University. Both authors have written extensively in the area of numerical solutions to stochastic operations research problems.
Table of Contents
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.