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* This revised and expanded edition presents the analytic modeling of queues using up-to-date examples. * It contains additional material (call centers and simulation), discussions (Transform Approximation Method and Level Crossing Analysis), and exercises.
List 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.
Report
"This exceptional book is a most welcome text for advanced university undergraduate and/or graduate students. It is built on the solid foundation of the three previous widely acclaimed editions since 1975 that have been among the few cornerstones of texts in the field. The new edition contains a superb blend of theoretical and contemporary real-world examples." -Dr. Percy Brill, Department of Management Science and Department of Mathematics and Statistics, University of Windsor
Praise for the third edition, "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
