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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

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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.
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TL;DR: The methodology employed in this paper can be extended to other batch arrival queueing system with more complicated control policies and derive the distributions of the number of customers in the system and the waiting time.

Tesis para optar al grado de doctor en

TL;DR: This thesis studies how to generalize the concept of de Bruijn sequence for a language composed by a subset of words of length n, particularly the languages of all words of Length n without factors in a list of forbidden factors.

Labor scheduling with employee turnover and absenteeism

TL;DR: This work presents a profit-oriented labor scheduling model that accounts for the day-today flux of employees and capacity induced by voluntary resignations, new hires, experience curves, and absenteeism and boosts average expected profits by more than 10 percent.
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Accelerated Accuracy in the Simulation of Markov Chains.

TL;DR: It is shown that even for independent parallel replications, the cost of achieving a specified accuracy with serial simulation, relative to the cost for parallel simulation, has a lower bound O(k1/2/n) as k → ∞.