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Journal ArticleDOI

Fundamentals of Queueing Theory

Rodney Coleman
- Vol. 138, Iss: 3, pp 436-437
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TLDR
The Fundamentals of Queueing Theory, Fourth Edition as discussed by the authors provides a comprehensive overview of simple and more advanced queuing models, with a self-contained presentation of key concepts and formulae.
Abstract
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.

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Input Versus Output Queueing on a Space-Division Packet Switch

TL;DR: Two simple models of queueing on an N \times N space-division packet switch are examined, and it is possible to slightly increase utilization of the output trunks and drop interfering packets at the end of each time slot, rather than storing them in the input queues.
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The Randomization Technique as a Modeling Tool and Solution Procedure for Transient Markov Processes

TL;DR: An implementation for a general class of Markov processes that can be described in terms of state space S, event set E, rate vectors R, and target vectors T-abbreviated as SERT is presented.
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Dynamic batching policies for an on-demand video server

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End-to-end congestion control for the internet: delays and stability

TL;DR: Stability results for a fluid flow model of end-to-end Internet congestion control and criteria for local stability and rate of convergence are completely characterized for a single resource, single user system.
References
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Queueing Models for Spares Provisioning.

TL;DR: It is desired to determine the number of repairmen and spares required over a multi-year planning horizon to provide for a service criterion of 90% availability.
Journal ArticleDOI

Stalking the Endangered CAT: A Queueing Analysis of Congestion at Automatic Teller Machines

TL;DR: In this paper, a study to determine customer service standards for the automatic teller machines ATM's of a large retail bank led to the formulation and calibration of a finite waiting room M/M/c/K queueing model.
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Metamodels of production line transient behaviour for sudden machine breakdowns

TL;DR: In this article, the authors present metamodels for the dynamic behaviour of both time in system and number in system for a general arrival time, for a specific type of machine breakdown.
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A model-based approach to evaluation of the efficacy of FEC coding in combating network packet losses

TL;DR: The unified approach provides an integrated framework for exploring the tradeoffs between the key coding parameters; specifically, interleaving depths, channel coding rates and block lengths, and provides an information-theoretic bound on the performance achievable with FEC coding in IP networks.
Journal ArticleDOI

On performance measures for evacuation systems

TL;DR: The paper presents a model of the evacuation system and shows how queueing network theory and simulation methods can be used to calculate the performance measures.