Book:D.R. Cox/Queues

Subject Matter

 * Probability Theory

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