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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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Book

Transient and Busy Period Analysis of the GI/G/1 Queue: Part I, the Method of Stages

TL;DR: In this article, the authors study the transient behavior of MGEL/MGEM/1 queueing system, where MGE is the class of mixed generalized Erlang distributions which can approximate an arbitrary distribution.
Journal ArticleDOI

Crane Scheduling Problems

TL;DR: Crane scheduling problems with one operation per job are investigated when arrival patterns are static or dynamic and when the processing times are arbitrary.
Journal ArticleDOI

An analysis of the end-of-aisle order picking system: Multi-aisle served by a single order picker

TL;DR: This paper analyzes the queueing model with supplementary variable technique to find the system's long-run behavior and proposes a simple optimization model to find an optimal buffer size.
Journal ArticleDOI

Multi-car lift system analysis and design

TL;DR: In this article, the authors describe mathematical derivations, using multi-bulk service queueing theory, of the average queue length, waiting time, number of active lifts and passenger delay times for multi-car lift systems.
DissertationDOI

Modellierung und Bewertung von Verfahren zur Last- und Leistungsregelung in Steuereinheiten von B-ISDN/ATM-Vermittlungssystemen

TL;DR: Load control and performance control concepts for broadband switching systems using ATM as transfer mode and beside service distinction call type differentiation is also covered due to the considered network positioning.
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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.
Journal ArticleDOI

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

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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).
Journal ArticleDOI

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.