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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

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.
References
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Journal ArticleDOI

Characterising interdeparture times for bursty input streams in the queue with pooled renewal arrivals

TL;DR: In this article, a stationary queueing system is described in which a single server handles several competing arrival streams on a first-come first-served basis, each class has its own generally distributed service time characteristics.
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Activity structures in a project-based environment: a coordination theory perspective

TL;DR: This work applies a coordination theory perspective to analyze the structure of project activities by utilizing a tandem queueing model to study the length of activity structures in relation to the time and the cost of task processing and identifies structures that balance the tradeoffs between productivity, handoffs, and waiting time.
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Estimating changes in traffic intensity for M/M/1 queueing systems

TL;DR: The principle of maximum likelihood is used to estimate change point of traffic intensity for the M/M/1 queueing model and is illustrated with a simulated example for each possible change in traffic intensity.
Journal ArticleDOI

Delay Analysis of Timer-Based Frame Coalescing in Energy Efficient Ethernet

TL;DR: A simple but exact queuing model is introduced for timer-based frame coalescing to find the delay distribution when the frame arrival process is Poisson and frame lengths are generally distributed.
Journal ArticleDOI

Taxing the Queue: Hindering Middleboxes From Unauthorized Large-Scale Traffic Relaying

TL;DR: This work proposes a solution to hinder MBs from unauthorized relaying of traffic to a large number of clients by increasing the cost of collusion by leveraging client puzzles in a novel way, and uses network properties to help the content provider detect if its outbound traffic is being further relayed beyond a transport-layer connection.