Open AccessBook
Fundamentals of queueing theory
Donald Gross,John F. Shortle,James M. Thompson,Carl M. Harris +3 more
- 01 Jan 1974
3.2K
TL;DR: 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.
read more
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
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Approximation methods for stochastic petri nets
Hauke Joerg Jungnitz
- 01 May 1992
TL;DR: A response time approximation technique for the performance analysis is introduced and delay equivalence, which has previously been introduced in the context of marked graphs by Woodside et al., Marie's method and flow equivalent aggregation are applied to the aggregated net systems.
15
Waiting for liver transplantation in Canada: waitlist history 2000--2004 and sensitivity analysis for the future.
TL;DR: A historical review of liver transplants performed in Canada during 2000–2004, and sensitivity analyses to assess the impact of possible changes in the operation of the waitlists are comprises, and the GI/M/1 queuing model is used for sensitivity analyses.
Interface protocol inference to aid understanding legacy software components
Kousar Aslam,Loek Cleophas,Ramon R. H. Schiffelers,Ramon R. H. Schiffelers,Mark van den Brand +4 more
TL;DR: In this article, an approach to infer the interface protocols of software components from the behavioral models of those components, learned by a black-box technique called active automata learning is presented.
Dynamic channel assignment in integrated-services cable networks
Tak-Shing Peter Yum,Ming Chen +1 more
TL;DR: A dynamic channel assignment strategy for an integrated-services cable system that allows the dynamic sharing of channels among the three types of video traffic, the real-time traffic,The broadcast traffic and the delayable traffic is proposed.
15
Queueing Theory Based Vehicular Traffic Management System Through Jackson Network Model and Optimization
Md. Golam Rabiul Alam,Tanjim Mushtari Suma,Sk Mahtab Uddin,Md. Bony Amin Khan Siam,Md. Shazid Bin Mahbub,Mohammad Mehedi Hassan,Giancarlo Fortino +6 more
TL;DR: In this paper, the authors use an open Jackson queuing model to calculate the waiting time of vehicles in the network, which can be further processed to put the network into an optimized state.
Related Papers (5)
Averill M. Law,W. David Kelton +1 more
- 01 Jan 1982
leonard Kleinrock
- 02 Jan 1975
William Feller
- 01 Jan 1950
Marcel F. Neuts
- 01 Jan 1981