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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

Optimal Prediction of Times and Queue Lengths in the GI/M/1 Queue

TL;DR: In this article, the conditional-expectation predictors and optimal linear predictors for variables in a GI/M/1 queue, number in queue, time in the queue, and waiting time were derived and compared.
Journal ArticleDOI

A novel cloud manufacturing framework with auto-scaling capability for the machining industry

TL;DR: A novel cloud manufacturing framework with auto-scaling capability (called CMFAS) aimed at providing a systematic and rapid development approach for building CMSs for the machining industry is proposed.
Journal ArticleDOI

Delay, jitter and threshold crossing in ATM systems with dispersed messages

TL;DR: A new analytical approach is presented that yields efficient recursions for the computation of the probability distribution of each quantity in the model of dispersed generation processes which naturally arises in packet switched networks such as ATM.
Journal ArticleDOI

On the time-dependent moments of Markovian queues with reneging

TL;DR: This work gives an explicit representation for the time-dependent moments of a Markovian queueing system with reneging and illustrates how to use these expressions to derive analogous moment expressions for a reflected Ornstein–Uhlenbeck process, with reflection at zero.
Journal ArticleDOI

Performance analysis of wireless sensor networks using queuing networks

TL;DR: This paper proposes a new mathematical model to capture a given entire WSN as is with intermittency introduced between the communication links due to mobility, and extends the analysis to multi-state intermittency models.