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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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Citations
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Journal ArticleDOI

Measuring the Effect of Queues on Customer Purchases

TL;DR: It is found that waiting in queue has a nonlinear impact on purchase incidence and that customers appear to focus mostly on the length of the queue, without adjusting enough for the speed at which the line moves.
Journal ArticleDOI

Increasing spectrum capacity for ad hoc networks using cognitive radios: an analytical model

TL;DR: An analytical model to evaluate the performance of ad hoc devices equipped with cognitive radio capabilities, is investigated and shows that the performance is improved in terms of blocking and dropping probabilities.
Journal ArticleDOI

The single-server machine interference model with balking, reneging and an additional server for longer queues

TL;DR: This paper treats the single-server machine interference model: M/M/1/m/m with balking, reneging and an additional server for longer queues with steady-state probabilities and some measures of effectiveness.
Journal ArticleDOI

Queueing Analysis of a Jockeying Model

TL;DR: A type of shortest queue problem, which is related to multibeam satellite systems, is solved and it is proved that the equilibrium distribution of packets in the system is modified vector geometric.
Journal ArticleDOI

The Effectiveness of Several Performance Bounds for Capacitated Production, Partial-Order-Service, Assemble-to-Order Systems

TL;DR: This paper first tailor different approximation ideas to the ATO setting to derive performance bounds, and then compare these bounds theoretically and numerically to develop computationally efficient performance estimates.
References
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Book

The Connection Machine

TL;DR: The Connection Machine describes a fundamentally different kind of computer that Daniel Hillis and others are now developing to perform tasks that no conventional, sequential machine can solve in a reasonable time.
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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

TL;DR: It is shown that a first come, first served (FCFS) policy that schedules the video with the longest outstanding request can perform better than the maximum queue length (MQL) policy, and multicasting is better exploited by scheduling playback of the most popular videos at predetermined, regular intervals (hence, termed FCFS-n).
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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.