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基本説明
Presents the analytic modeling of queues using up-to-date examples. Spreadsheet programs for Excel and Quattro are available on a companion FTP site while additional software programs are showcased and spread throughout the written text.
Full Description
Praise for the Third Edition "This is one of the best books available. Its excellent organizational structure allows quick reference to specific models and its clear presentation . . . solidifies the understanding of the concepts being presented."IIE Transactions on Operations EngineeringThoroughly revised and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fourth Edition continues to present the basic statistical principles that are necessary to analyze the probabilistic nature of queues. Rather than presenting a narrow focus on the subject, this update illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research.This update takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive outline of simple and more advanced queueing models. Newly featured topics of the Fourth Edition include:Retrial queuesApproximations for queueing networksNumerical inversion of transformsDetermining the appropriate number of servers to balance quality and cost of serviceEach chapter provides a self-contained presentation of key concepts and formulae, allowing readers to work with each section independently, while a summary table at the end of the book outlines the types of queues that have been discussed and their results. In addition, two new appendices have been added, discussing transforms and generating functions as well as the fundamentals of differential and difference equations. New examples are now included along with problems that incorporate QtsPlus software, which is freely available via the book's related Web site.With its accessible style and wealth of real-world examples, Fundamentals of Queueing Theory, Fourth Edition is an ideal book for courses on queueing theory at the upper-undergraduate and graduate levels. It is also a valuable resource for researchers and practitioners who analyze congestion in the fields of telecommunications, transportation, aviation, and management science.
Contents
Dedication. Preface.1. Introduction.1.1 Description of the Queueing Problem.1.2 Characteristics of Queueing Processes.1.3 Notation.1.4 Measuring System Performance.1.5 Some General Results.1.6 Simple Data Bookkeeping for Queues.1.7 Poisson Process and the Exponential Distribution.1.8 Markovian Property of the Exponential Distribution.1.9 Stochastic Processes and Markov Chains.Problems.2. Simple Markovian Queueing Models.2.1 Birth Death Processes.2.2 Single-Server Queues (M/M/1).2.3 Multi-Server Queues (M/M/c).2.4 Choosing the Number of Servers.2.5 Queues with Truncation (M/M/c/K).2.6 Erlang?s Loss Formula (M/M/c/c).2.7 Queues with Unlimited Service (M/M/1).2.8 Finite Source Queues.2.9 State-Dependent Service.2.10 Queues with Impatience.2.11 Transient Behavior.2.12 Busy-Period Analysis.Problems.3. Advanced Markovian Queueing Models.3.1 Bulk Input (M[X]/M/1).3.2 Bulk Service (M/M[Y ]/1).3.3 Erlangian Models.3.4 Priority Queue Disciplines.3.5 Retrial Queues.4. Networks, Series, and Cyclic Queues.4.1 Series Queues.4.2 Open Jackson Networks.4.3 Closed Jackson Networks.4.4 Cyclic Queues.4.5 Extensions of Jackson Networks.4.6 Non-Jackson Networks.5. General Arrival or Service Patterns.5.1 General Service, Single Server (M/G/1).5.2 General Service, Multi-Server (M/G/c/u, M/G/1).5.3 General Input (G/M/1, G/M/c).6. More General Models and Theoretical Topics.6.1 G/Ek/1, G[k]/M/1, and G/PHk/1.6.2 General Input, General Service (G/G/1) .6.3 Multichannel Queues with Poisson Input and Constant Service (M/D/c).6.4 Semi-Markov and Markov Renewal Processes in Queueing.6.5 Other Queue Disciplines.6.6 Design and Control of Queues.6.7 Statistical Inference in Queueing.7. Bounds and Approximations.7.1 Bounds.7.2 Approximations.7.3 Network Approximations.Problems.8. Numerical Techniques and Simulation.8.1 Numerical Techniques.8.2 Numerical Inversion of Transforms.8.3 Discrete-Event Stochastic Simulation.Problems.Bibliography.Appendix 1. Symbols and Abbreviations.Appendix 2. Tables.Appendix 3. Transforms and Generating Functions.A3.1 Laplace Transforms.A3.2 Generating Functions.Appendix 4. Differential and Difference Equations.A4.1 Ordinary Differential Equations.A4.2 Difference Equations.Appendix 5. QTSPlus Software.A5.1 Instructions for Downloading.
