# Fundamentals of queueing theory

##### By: Gross, Donald

##### Title By: Shortle, John F | Thompson, James M | Harris, Carl M

Material type: BookSeries: Wiley series in probability and statistics.Publisher: New Jersey : J. Wiley & Sons, c2008.Edition: 4th ed.Description: xiii, 500 p. : ill. ; 25 cm.ISBN: 9780471791270Program: ECTE469Subject(s): Queuing theory | Mathematics -- Probability & Statistics -- General | Mathematics -- AppliedDDC classification: 519.82 GR FU Online resources: Location MapItem type | Home library | Call number | Status | Notes | Date due | Barcode | Item holds |
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3 DAY LOAN | University of Wollongong in Dubai Main Collection | 519.82 GR FU (Browse shelf) | Available | Mar2018 | T0059109 | ||

CRS | University of Wollongong in Dubai Closed Reserve | 519.82 GR FU (Browse shelf) | Available | T0059095 | |||

REGULAR | University of Wollongong in Dubai Main Collection | 519.82 GR FU (Browse shelf) | Available | T0059094 |

##### , Shelving location: Closed Reserve Close shelf browser

512.5 AN EL Elementary linear algebra : | 519.5 BE BA Basic business statistics : | 519.5 WA PR Probability & statistics for engineers & scientists | 519.82 GR FU Fundamentals of queueing theory | 532 VE IN An introduction to computational fluid dynamics : | 540 BR CH Chemistry : | 551.480994 LA HY Hydrology : |

Previous ed.: Chichester: Wiley, 1998.

Includes bibliographical references and index.

Cover; Title Page; Dedication; Contents; Preface; Acknowledgments; 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; 1.10 Introduction to the QtsPlus Software; Problems; 2 Simple Markovian Queueing Models; 2.1 Birth-Death Processes; 2.2 Single-Server Queues (M/M/l)

2.3 Multiserver 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/oo); 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/l); 3.2 Bulk Service (M/M][Y]/1); 3.3 Erlangian Models; 3.4 Priority Queue Disciplines; 3.5 Retrial Queues; Problems; 4 Networks, Series, and Cyclic Queues; 4.1 Series Queues; 4.2 Open Jackson Networks.

4.3 Closed Jackson Networks4.4 Cyclic Queues; 4.5 Extensions of Jackson Networks; 4.6 Non-Jackson Networks; Problems; 5 General Arrival or Service Patterns; 5.1 General Service, Single Server (M/G/l); 5.2 General Service, Multiserver (M/G/c/, M/G/∞); 5.3 General Input (G/M/l, G/M/c); Problems; 6 General Models and Theoretical Topics; 6.1 G/Ek/1, CfW/M/1, and G/PHk/1; 6.2 General Input, General Service (G/G/l); 6.3 Poisson Input, Constant Service, Multiserver (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 QueueingProblems; 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; Appendix A: Symbols and Abbreviations; Appendix B: Tables; Appendix C: Transforms and Generating Functions; C. 1 Laplace Transforms; C. 2 Generating Functions; Appendix D: Differential and Difference Equations; D. 1 Ordinary Differential Equations; D. 2 Difference Equations.

Appendix E: QtsPlus SoftwareE. 1 Instructions for Downloading; Index.

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." "Each chapter provides a sell-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 resource for researchers and practitioners who analyze congestion in the fields of telecommunications, transportation, aviation, and management science."--Jacket.

ECTE469