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Overview
Intended for a first course in performance evaluation, this is a self-contained treatment covering all aspects of queuing theory. It starts by introducing readers to the terminology and usefulness of queueing theory and continues by considering Markovian queues in equilibrium, Littles law, reversibility, transient analysis, and computation, plus the M/G/1 queuing system. It then moves on to cover networks of queues, and concludes with techniques for numerical solutions, a discussion of the PANACEA technique, discrete time queueing systems and simulation, and shastic Petri networks. The whole is backed by case studies of distributed queueing networks arising in industrial applications. This third edition includes a new chapter on self-similar traffic, many new problems, and solutions for many exercises.
Queuing theory--the ability to predict the performance of a complicated system, such as a telephone network, without actually building it--has become a vital engineering technique. This exhaustive treatment of queuing theory and Petri nets provides the necessary preparation on this topic for engineers of the information age. 116 illustrations.
Synopsis
This text, intended for a first course in performance evaluation, is a self-contained treatment covering all aspects of queuing theory. It starts by introducing readers to the terminology and usefulness of queuing theory and continues by considering Markovian queues in equilibrium, Little's law, reversibility, transient analysis, and computation, and the M/G/1 queuing system. A subsequent chapter covers networks of queues including the presentation of a recent and clear topological explanation for the existence of the product form solution. The final chapters explain techniques for numerical solutions, such as the convolution algorithm and mean-value analysis; discuss the PANACEA technique, discrete time queuing systems and simulation; and describe the new area of stochastic Petri networks. Case studies of distributed queuing networks arising in industrial applications are included. An appendix reviews probability theory.
The third edition includes a new chapter on self-similar traffic, many new problems, and solutions for many exercises.