Queues

ISBN-13: 9781138460317 / Angielski / Twarda / 2018 / 192 str.

D.R. Cox

Opis

This is a classic book on Queues. First published in 1961 it is clearly and concisely introduces the theory of queueing systems and is still just as relevant today. The monograph is aimed at both students and operational research workers concerned with the practical investigations of queueing, although almost every statistician will find its contents of interest.

Spis treści

I. Introduction page -- I. 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. Queues with many servers -- 3. Queues with priorities -- IV. Machine Interference -- l. Statement of problem -- 2. The simplest probability model -- 3. Some complications -- V. More specialized topics -- I. 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 -- Appendixes -- I. Bibliographical notes -- I I. Exercises and further results -- III. Notes on the theory of probability and Laplace-Stieltjes transforms -- Author Index -- Subject Index.

O autorze

Imperial College University of London. University of North Carolina.