Fundamentals of Queueing Theory, 3rd Edition

by ;
Edition: 3rd
Format: Hardcover
Pub. Date: 1998-02-01
Publisher(s): Wiley-Interscience
List Price: $150.33

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Summary

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

Author Biography

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

Preface ix
1. Introduction
1(52)
1.1. Description of the Queueing Problem
1(2)
1.2. Characteristics of Queueing Processes
3(4)
1.3. Notation
7(2)
1.4. Measuring System Performance
9(1)
1.5. Some General Results
10(3)
1.6. Simple Data Bookkeeping for Queues
13(3)
1.7. Poisson Process and the Exponential Distribution
16(6)
1.8. Markovian Property of the Exponential Distribution
22(4)
1.9. Stochastic Processes and Markov Chains
26(19)
1.10. Steady-State Birth-Death Processes
45(2)
Problems
47(6)
2. Simple Markovian Birth-Death Queueing Models
53(63)
2.1. Steady-State Solution for the M/M/1 Model
53(3)
2.2. Methods of Solving Steady-State Difference Equations
56(13)
2.3. Queues with Parallel Channels (M/M/c)
69(5)
2.4. Queues with Parallel Channels and Truncation (M/M/c/K)
74(6)
2.5. Erlang's Formula (M/M/c/c)
80(1)
2.6. Queues with Unlimited Service (M/M/XXX)
81(1)
2.7. Finite Source Queues
82(7)
2.8. State-Dependent Service
89(4)
2.9. Queues with Impatience
93(2)
2.10. Transient Behavior
95(7)
2.11. Busy-Period Analyses for M/M/1 and M/M/c
102(2)
Problems
104(12)
3. Advanced Markovian Queueing Models
116(49)
3.1. Bulk Input (M[x]/M/1)
116(6)
3.2. Bulk Service (M/M[Y]/1)
122(5)
3.3. Erlangian Models (M/E(k)/1, E(k)/M/1, E(j)/E(k)/1)
127(14)
3.4. Priority Queue Disciplines
141(18)
Problems
159(6)
4. Networks, Series, and Cyclic Queues
165(44)
4.1. Series Queues
167(7)
4.2. Open Jackson Networks
174(9)
4.3. Closed Jackson Networks
183(16)
4.4. Cyclic Queues
199(1)
4.5. Extensions of Jackson Networks
200(2)
4.6. Non-Jackson Networks
202(2)
Problems
204(5)
5. Models with General Arrival or Service Patterns
209(57)
5.1. Single-Server Queues with Poisson Input and General Service (M/G/1)
209(33)
5.2. Multiserver Queues with Poisson Input and General Service
242(6)
5.3. General Input and Exponential Service
248(12)
Problems
260(6)
6. More General Models and Theoretical Topics
266(60)
6.1. G/E(k)/1, G[k]/M/1, and G/PH(k)/1
266(8)
6.2. General Input, General Service (G/G/1)
274(12)
6.3. Multichannel Queues with Poisson Input and Constant Service (M/D/c)
286(2)
6.4. Semi-Markov and Markov Renewal Processes in Queueing
288(6)
6.5. Other Queue Disciplines
294(6)
6.6. Design and Control of Queues
300(12)
6.7. Statistical Inference in Queueing
312(9)
Problems
321(5)
7. Bounds, Approximations, Numerical Techniques, and Simulation
326(76)
7.1. Bounds and Inequalities
326(14)
7.2. Approximations
340(12)
7.3. Numerical Techniques
352(18)
7.4. Discrete-Event Stochastic Simulation
370(26)
Problems
396(6)
References 402(13)
Appendix 1. Symbols and Abbreviations
415(8)
Appendix 2. Summary of Models Treated and Types of Results 423(4)
Appendix 3. QTS Software 427(6)
Index 433

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