Book:D.R. Cox/Queues
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D.R. Cox and Walter L. Smith: Queues
Published $\text {1961}$, Chapman and Hall
Subject Matter
Contents
- Preface
- I. Introduction
- 1. Some examples
- 2. The aims of an investigation of congestion
- 3. The arrival pattern
- 4. The service mechanism
- 5. The queue-discipline
- 6. The measurement of congestion
- 7. The investigation of queueing systems
- 8. The modification of queueing systems
- II. Some simple queues with random arrivals
- 1. Introduction
- 2. Statistical equilibrium
- 3. Single-server queue with random arrivals and exponential service-times
- 4. Arrival rates and service-times dependent on queue size
- 5. Further remarks on equilibrium conditions
- 6. Single-server queue with random arrivals and general distribution of service-times
- 7. The busy-period distribution
- III. More about simple queues
- 1. Non-equilibrium theory
- 2. Queue with many servers
- 3. Queues with priorities
- IV. Machine Interference
- 1. Statement of problem
- 2. The simplest probability model
- 3. Some complications
- V. More specialized topics
- 1. Introduction
- 2. The method of stages
- 3. The integral equation of a single-server queue
- 4. Simulation and Monte-Carlo methods
- 5. Series of queues
- 6. The busy-period distribution
- Appendices
- I. Bibliographical notes
- II. Exercises and further results
- III. Notes on the theory of probability and Laplace-Stieltjes transforms
- Author Index
- Subject Index