scispace - formally typeset
Journal ArticleDOI

Fundamentals of Queueing Theory

Rodney Coleman
- Vol. 138, Iss: 3, pp 436-437
Reads0
Chats0
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.

read more

Citations
More filters
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.
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.
Journal ArticleDOI

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.
Journal ArticleDOI

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.
References
More filters
Dissertation

Applications of Queuing Theory for Open-Pit Truck/Shovel Haulage Systems

TL;DR: In this article, a multi-channel queuing model was developed to model systems that provide service for randomly arising demands and predict the behavior of such systems, in which customers arrive for service, wait for service if it is not immediately available, and move on to the next server or exit the system once they have been serviced.
Journal ArticleDOI

Tail probability of transient and stationary waiting times in (max,+)-linear systems

TL;DR: This paper derives explicit expressions for the tail probability of transient and stationary waiting times in Poisson-driven (max,+) linear systems and considers the problem of maximizing the long-run average throughput subject to a probabilistic constraint on stationary waiting time in (max+,+) linear systems with deterministic service times.
Journal ArticleDOI

Efficient execution of composite Web services exchanging intensional data

TL;DR: This work provides an A* heuristic search algorithm to find an optimal invocation plan for a given set of Web services and presents a greedy method of generating an efficient solution in a short time.
Journal ArticleDOI

A unified algorithm for computing the stationary queue length distributions inM(k)/G/1/N and GI/M(k)/1/N queues

TL;DR: An iterative algorithm is developed for computing numerically the stationary queue length distributions in M/G/1/N queues with arbitrary state-dependent arrivals, or simply M(k)/G-1-N queues, using the Laplace-Stieltjes transform of the service time distribution.
Journal ArticleDOI

Approximation for a two-class weighted fair queueing discipline

TL;DR: A modified version of the approximation for a 2-class weighted fair queueing model that is accurate for a wide range of @r and extended to more complex queueing scenarios, such as the low-latency-queueing discipline and systems with more than 2 classes.