Praise for the Third Edition "This is one of the best books available.
Author: Donald Gross
Publisher: John Wiley & Sons
ISBN: 9781118211649
Category: Mathematics
Page: 528
View: 505
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 Engineering Thoroughly 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 queues Approximations for queueing networks Numerical inversion of transforms Determining the appropriate number of servers to balance quality and cost of service Each 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.
Thoroughly 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 ...
Author: Donald Gross
Publisher: John Wiley & Sons Incorporated
ISBN: UOM:39015031270278
Category: Mathematics
Page: 587
View: 633
Thoroughly 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 book is also a valuable reference for practitioners in applied mathematics, operations research, engineering, and industrial engineering.
Author: John F. Shortle
Publisher: John Wiley & Sons
ISBN: 9781118943526
Category: Business & Economics
Page: 576
View: 695
The definitive guide to queueing theory and its practical applications—features numerous real-world examples of scientific, engineering, and business applications Thoroughly updated and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fifth Edition presents the statistical principles and processes involved in the analysis of the probabilistic nature of queues. Rather than focus narrowly on a particular application area, the authors illustrate the theory in practice across a range of fields, from computer science and various engineering disciplines to business and operations research. Critically, the text also provides a numerical approach to understanding and making estimations with queueing theory and provides comprehensive coverage of both simple and advanced queueing models. As with all preceding editions, this latest update of the classic text features a unique blend of the theoretical and timely real-world applications. The introductory section has been reorganized with expanded coverage of qualitative/non-mathematical approaches to queueing theory, including a high-level description of queues in everyday life. New sections on non-stationary fluid queues, fairness in queueing, and Little's Law have been added, as has expanded coverage of stochastic processes, including the Poisson process and Markov chains. • Each chapter provides a self-contained presentation of key concepts and formulas, to allow readers to focus independently on topics relevant to their interests • A summary table at the end of the book outlines the queues that have been discussed and the types of results that have been obtained for each queue • Examples from a range of disciplines highlight practical issues often encountered when applying the theory to real-world problems • A companion website features QtsPlus, an Excel-based software platform that provides computer-based solutions for most queueing models presented in the book. Featuring chapter-end exercises and problems—all of which have been classroom-tested and refined by the authors in advanced undergraduate and graduate-level courses—Fundamentals of Queueing Theory, Fifth Edition is an ideal textbook for courses in applied mathematics, queueing theory, probability and statistics, and stochastic processes. This book is also a valuable reference for practitioners in applied mathematics, operations research, engineering, and industrial engineering.
· Simple Markovian Birth-Death Queueing Models· Advanced Markovian Queueing Models· Networks, Series, and Cyclic Queues· Models with General Arrival or Service Patterns· More General Models and Theoretical Topics· Bounds, ...
Author: Donald Gross
Publisher: John Wiley & Sons
ISBN: 8126517778
Category:
Page: 464
View: 997
· Simple Markovian Birth-Death Queueing Models· Advanced Markovian Queueing Models· Networks, Series, and Cyclic Queues· Models with General Arrival or Service Patterns· More General Models and Theoretical Topics· Bounds, Approximations, Numerical Techniques, and Simulation
Author: John F. Shortle
Publisher:
ISBN: 1119453763
Category: MATHEMATICS
Page: 548
View: 399
Presents the basic statistical principles that are necessary to analyze the probabilistic nature of queues Thoroughly revised and expanded to reflect the latest developments in the field, the fourth edition of emFundamentals of Queueing ...
Author: Donald Gross
Publisher: Wiley-Interscience
ISBN: 0470077964
Category: Mathematics
Page: 88
View: 211
Praise for the Third Edition "This is one of the best books available. Its excellentorganizational structure allows quick reference to specific modelsand its clear presentation . . . solidifies the understanding ofthe concepts being presented." —IIE Transactions on Operations Engineering Thoroughly revised and expanded to reflect the latestdevelopments in the field, Fundamentals of Queueing Theory,Fourth Edition continues to present the basic statisticalprinciples that are necessary to analyze the probabilistic natureof queues. Rather than presenting a narrow focus on the subject,this update illustrates the wide-reaching, fundamental concepts inqueueing theory and its applications to diverse areas such ascomputer science, engineering, business, and operationsresearch. This update takes a numerical approach to understanding andmaking probable estimations relating to queues, with acomprehensive outline of simple and more advanced queueing models.Newly featured topics of the Fourth Edition include: Retrial queues Approximations for queueing networks Numerical inversion of transforms Determining the appropriate number of servers to balance qualityand cost of service Each chapter provides a self-contained presentation of keyconcepts and formulae, allowing readers to work with each sectionindependently, while a summary table at the end of the bookoutlines the types of queues that have been discussed and theirresults. In addition, two new appendices have been added,discussing transforms and generating functions as well as thefundamentals of differential and difference equations. New examplesare now included along with problems that incorporate QtsPlussoftware, which is freely available via the book's related Website. With its accessible style and wealth of real-world examples,Fundamentals of Queueing Theory, Fourth Edition is an idealbook for courses on queueing theory at the upper-undergraduate andgraduate levels. It is also a valuable resource for researchers andpractitioners who analyze congestion in the fields oftelecommunications, transportation, aviation, and managementscience.
I highly recommend this book to educators and applied researchers."--IEE Transactions on Operations Engineering
Author: Donald Gross
Publisher: Wiley-Interscience
ISBN: 0471290092
Category: Mathematics
Page: 148
View: 232
This look at queueing theory stresses the fundamentals of the analytic modeling of queues. It features Excel and Quattro software that allows greater flexibility in the understanding of the nature, sensitivities and responses of waiting- line systems to parameter and environmental changes. "...this is one of the best books available for use as a textbook for a course and for an applied reference book. Its excellent organizational structure allows quick reference to specific models and its clear presentation coupled with the use of the QTS software solidifies the understanding of the concepts being presented. I highly recommend this book to educators and applied researchers."--IEE Transactions on Operations Engineering
Queueing Systems Volume 1: Theory Leonard Kleinrock This book presents and develops methods from queueing theory in sufficient depth so that students and professionals may apply these methods to many modern engineering problems, as well as ...
Author:
Publisher:
ISBN: LCCN:2004233526
Category:
Page:
View: 977
D. Gross and C. M. Harris, Fundamentals of Queueing Theory (Second edition). New York: John Wiley & Sons, 1985. 11. W. Bischof, Analysis of M/G/1 queues with setup times and vacations under six different service disciplines, ...
Author: Wuyi Yue
Publisher: Springer Science & Business Media
ISBN: 0387097031
Category: Technology & Engineering
Page: 316
View: 952
Advances in Queueing Theory and Network Applications presents several useful mathematical analyses in queueing theory and mathematical models of key technologies in wired and wireless communication networks such as channel access controls, Internet applications, topology construction, energy saving schemes, and transmission scheduling. In sixteen high quality chapters, this work provides novel ideas, new analytical models, and simulation and experimental results by experts in the field of queueing theory and network applications. The text serves as a state-of-the-art reference for a wide range of researchers and engineers engaged in the fields of queueing theory and network applications, and can also serve as supplemental material for advanced courses in operations research, queueing theory, performance analysis, traffic theory, as well as theoretical design and management of communication networks.
Queueing Systems Volume 1: Theory Leonard Kleinrock This book presents and develops methods from queueing theory in sufficient depth so that students and professionals may apply these methods to many modern engineering problems, as well as ...
Author: Leonard Kleinrock
Publisher: Wiley-Interscience
ISBN: UOM:49015002189968
Category: Mathematics
Page: 576
View: 809
Queueing Systems Volume 1: Theory Leonard Kleinrock This book presents and develops methods from queueing theory in sufficient depth so that students and professionals may apply these methods to many modern engineering problems, as well as conduct creative research in the field. It provides a long-needed alternative both to highly mathematical texts and to those which are simplistic or limited in approach. Written in mathematical language, it avoids the "theorem-proof" technique: instead, it guides the reader through a step-by-step, intuitively motivated yet precise development leading to a natural discovery of results. Queueing Systems, Volume I covers material ranging from a refresher on transform and probability theory through the treatment of advanced queueing systems. It is divided into four sections: 1) preliminaries; 2) elementary queueing theory; 3) intermediate queueing theory; and 4) advanced material. Important features of Queueing Systems, Volume 1: Theory include- * techniques of duality, collective marks * queueing networks * complete appendix on z-transforms and Laplace transforms * an entire appendix on probability theory, providing the notation and main results needed throughout the text * definition and use of a new and convenient graphical notation for describing the arrival and departure of customers to a queueing system * a Venn diagram classification of many common stochastic processes 1975 (0 471-49110-1) 417 pp. Fundamentals of Queueing Theory Second Edition Donald Gross and Carl M. Harris This graduated, meticulous look at queueing fundamentals developed from the authors' lecture notes presents all aspects of the methodology-including Simple Markovian birth-death queueing models; advanced Markovian models; networks, series, and cyclic queues; models with general arrival or service patterns; bounds, approximations, and numerical techniques; and simulation-in a style suitable to courses of study of widely varying depth and duration. This Second Edition features new expansions and abridgements which enhance pedagogical use: new material on numerical solution techniques for both steady-state and transient solutions; changes in simulation language and new results in statistical analysis; and more. Complete with a solutions manual, here is a comprehensive, rigorous introduction to the basics of the discipline. 1985 (0 471-89067-7) 640 pp.
This updated new edition introduces the reader to the fundamentals of queueing theory, including Markov processes and random walks.
Author: Soeren Asmussen
Publisher: Springer Science & Business Media
ISBN: 9780387002118
Category: Business & Economics
Page: 438
View: 862
This updated new edition introduces the reader to the fundamentals of queueing theory, including Markov processes and random walks. It contains an extended treatment of queueing networks and matrix analytic methods as well as additional topics like Poisson's equation, Palm theory and heavy tails.
Queueing Systems Volume 1: Theory Leonard Kleinrock This book presents and develops methods from queueing theory in sufficient depth so that students and professionals may apply these methods to many modern engineering problems, as well as ...
Author: Leonard Kleinrock
Publisher: Wiley-Interscience
ISBN: 0471555983
Category: Technology & Engineering
Page: 299
View: 408
Queueing Systems Volume 1: Theory Leonard Kleinrock This book presents and develops methods from queueing theory in sufficient depth so that students and professionals may apply these methods to many modern engineering problems, as well as conduct creative research in the field. It provides a long-needed alternative both to highly mathematical texts and to those which are simplistic or limited in approach. Written in mathematical language, it avoids the "theorem-proof" technique: instead, it guides the reader through a step-by-step, intuitively motivated yet precise development leading to a natural discovery of results. Queueing Systems, Volume I covers material ranging from a refresher on transform and probability theory through the treatment of advanced queueing systems. It is divided into four sections: 1) preliminaries; 2) elementary queueing theory; 3) intermediate queueing theory; and 4) advanced material. Important features of Queueing Systems, Volume 1: Theory include- * techniques of duality, collective marks * queueing networks * complete appendix on z-transforms and Laplace transforms * an entire appendix on probability theory, providing the notation and main results needed throughout the text * definition and use of a new and convenient graphical notation for describing the arrival and departure of customers to a queueing system * a Venn diagram classification of many common stochastic processes 1975 (0 471-49110-1) 417 pp. Fundamentals of Queueing Theory Second Edition Donald Gross and Carl M. Harris This graduated, meticulous look at queueing fundamentals developed from the authors' lecture notes presents all aspects of the methodology-including Simple Markovian birth-death queueing models; advanced Markovian models; networks, series, and cyclic queues; models with general arrival or service patterns; bounds, approximations, and numerical techniques; and simulation-in a style suitable to courses of study of widely varying depth and duration. This Second Edition features new expansions and abridgements which enhance pedagogical use: new material on numerical solution techniques for both steady-state and transient solutions; changes in simulation language and new results in statistical analysis; and more. Complete with a solutions manual, here is a comprehensive, rigorous introduction to the basics of the discipline. 1985 (0 471-89067-7) 640 pp.
Equivalence relations in queueing models of manufacturing networks . ... In H. G. Perros and T. Altiok , editors , Queueing Networks with Blocking , Elsevier Science Publishers B.V. , 1989 . ... Fundamentals of Queueing Theory .
Author: H.T. Papadopolous
Publisher: Springer Science & Business Media
ISBN: 0412387204
Category: Technology & Engineering
Page: 394
View: 308
The objective of the book is to acquaint the reader with the use of queueing theory in the analysis of manufacturing systems.
G. Falin (1990), A survey of retrial queues, Queueing Systems, 7, 127-168. W. Feller (1968), An Introduction to Probability Theory and its Applications, Vol. 1, 3rd ed., John Wiley & Sons, New York. [90] T.C. Fry (1928), Probability and ...
Author: U. Narayan Bhat
Publisher: Birkhäuser
ISBN: 9780817684211
Category: Mathematics
Page: 339
View: 345
This introductory textbook is designed for a one-semester course on queueing theory that does not require a course on stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, the work provides a sound foundational introduction to the modeling and analysis of queueing systems for a broad interdisciplinary audience of students in mathematics, statistics, and applied disciplines such as computer science, operations research, and engineering. This edition includes additional topics in methodology and applications. Key features: • An introductory chapter including a historical account of the growth of queueing theory in more than 100 years. • A modeling-based approach with emphasis on identification of models • Rigorous treatment of the foundations of basic models commonly used in applications with appropriate references for advanced topics. • A chapter on matrix-analytic method as an alternative to the traditional methods of analysis of queueing systems. • A comprehensive treatment of statistical inference for queueing systems. • Modeling exercises and review exercises when appropriate. The second edition of An Introduction of Queueing Theory may be used as a textbook by first-year graduate students in fields such as computer science, operations research, industrial and systems engineering, as well as related fields such as manufacturing and communications engineering. Upper-level undergraduate students in mathematics, statistics, and engineering may also use the book in an introductory course on queueing theory. With its rigorous coverage of basic material and extensive bibliography of the queueing literature, the work may also be useful to applied scientists and practitioners as a self-study reference for applications and further research. "...This book has brought a freshness and novelty as it deals mainly with modeling and analysis in applications as well as with statistical inference for queueing problems. With his 40 years of valuable experience in teaching and high level research in this subject area, Professor Bhat has been able to achieve what he aimed: to make [the work] somewhat different in content and approach from other books." - Assam Statistical Review of the first edition
A note on the persistance of the time-dependent solution of an M/M/1/M queue. Tech. report, Department of Computer Science, University of Nebraska, Lincoln. [Feller71] Feller, W. (1971). An Introduction to Probability Theory and Its ...
Author: Lester Lipsky
Publisher: Springer Science & Business Media
ISBN: 9780387497068
Category: Business & Economics
Page: 548
View: 979
Queueing Theory deals with systems where there is contention for resources, but the demands are only known probabilistically. This book can be considered to be a monograph or a textbook, and thus is aimed at two audiences: those who already know Queueing Theory but would like to know more of the Linear Algebraic Approach; and as a rst course for students who don't already have a strong background in probability, and feel more comfortable with algebraic arguments. Also, the equations are well suited to easy computation. In fact, there is much discussion on how various properties can be easily computed in any language that has automatic matrix operations (e.g., MATLAB). To help with physical insight, there are over 80 gures, numerous examples and exercises distributed throughout the book. There are, perhaps 50 books on QT that are available today, and most practitioners have several of them on their shelves. This book would be a good addition, as well as a good supplement to another text. This second edition has been updated throughout including a new chapter on Semi Markov Processes and new material on matrix representations of distributions and Power-tailed distribution. Lester Lipsky is a Professor in the Department of Computer Science and Engineering at the University of Connecticut.
[ 63 ] Gnedenko , B.V. and Kovalenko , I.N. , Introduction to Queueing Theory , 2nd ed . , Revised and Supplemented , Birkhäuser , Boston 1989 . [ 64 ] Gnedenko , B.V. , Danielyan , E.A. , Dimitrov , B.N. , Klimov , G.P. , and Matvejev ...
Author: Jewgeni H. Dshalalow
Publisher: CRC Press
ISBN: 084938074X
Category: Business & Economics
Page: 528
View: 304
The progress of science and technology has placed Queueing Theory among the most popular disciplines in applied mathematics, operations research, and engineering. Although queueing has been on the scientific market since the beginning of this century, it is still rapidly expanding by capturing new areas in technology. Advances in Queueing provides a comprehensive overview of problems in this enormous area of science and focuses on the most significant methods recently developed. Written by a team of 24 eminent scientists, the book examines stochastic, analytic, and generic methods such as approximations, estimates and bounds, and simulation. The first chapter presents an overview of classical queueing methods from the birth of queues to the seventies. It also contains the most comprehensive bibliography of books on queueing and telecommunications to date. Each of the following chapters surveys recent methods applied to classes of queueing systems and networks followed by a discussion of open problems and future research directions. Advances in Queueing is a practical reference that allows the reader quick access to the latest methods.
Cooper, R. B., Introduction to Queueing Theory, Macmillan, New York. Page, E. G., Queueing Theory in OR, Crane Russak, New York. 1973 Newell, G. F., Approximate Stochastic Behavior of n-Server Service Systems with Large n, ...
Author: C. Newell
Publisher: Springer Science & Business Media
ISBN: 9789400959705
Category: Juvenile Nonfiction
Page: 303
View: 158
The literature on queueing theory is already very large. It contains more than a dozen books and about a thousand papers devoted exclusively to the subject; plus many other books on probability theory or operations research in which queueing theory is discussed. Despite this tremendous activity, queueing theory, as a tool for analysis of practical problems, remains in a primitive state; perhaps mostly because the theory has been motivated only superficially by its potential applications. People have devoted great efforts to solving the 'wrong problems. ' Queueing theory originated as a very practical subject. Much ofthe early work was motivated by problems concerning telephone traffic. Erlang, in particular, made many important contributions to the subject in the early part of this century. Telephone traffic remained one of the principle applications until about 1950. After World War II, activity in the fields of operations research and probability theory grew rapidly. Queueing theory became very popular, particularly in the late 1950s, but its popularity did not center so much around its applications as around its mathematical aspects. With the refine ment of some clever mathematical tricks, it became clear that exact solutions could be found for a large number of mathematical problems associated with models of queueing phenomena. The literature grew from 'solutions looking for a problem' rather than from 'problems looking for a solution.
Stochastic Processes Computational Probability and Algorithms Queueing Theory E. Qinclar. Introduction to Stochastic Processes. Prentice-Hall, 1975. D.R. Cox. Renewal Theory. Methuen, 1962. S. Karlin and H.M. Taylor.
Author: Randolph Nelson
Publisher: Springer Science & Business Media
ISBN: 9781475724264
Category: Mathematics
Page: 584
View: 219
We will occasionally footnote a portion of text with a "**,, to indicate Notes on the that this portion can be initially bypassed. The reasons for bypassing a Text portion of the text include: the subject is a special topic that will not be referenced later, the material can be skipped on first reading, or the level of mathematics is higher than the rest of the text. In cases where a topic is self-contained, we opt to collect the material into an appendix that can be read by students at their leisure. The material in the text cannot be fully assimilated until one makes it Notes on "their own" by applying the material to specific problems. Self-discovery Problems is the best teacher and although they are no substitute for an inquiring mind, problems that explore the subject from different viewpoints can often help the student to think about the material in a uniquely per sonal way. With this in mind, we have made problems an integral part of this work and have attempted to make them interesting as well as informative.
Handbuch der Bedienungs-Theorie, II. Formeln andere Ergebnisse, Academic-Verlag, Berlin. Gnedenko, B. V., and Kovalenko, I. N. (1968). Introduction to Queueing Theory (2nd ed. 1980), Israel Program for Sci. Tran, Jerusalem.
Author: Jyotiprasad Medhi
Publisher: Elsevier
ISBN: 9780080541815
Category: Mathematics
Page: 450
View: 476
This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts. * Current, clear and comprehensive coverage * A wealth of interesting and relevant examples and exercises to reinforce concepts * Reference lists provided after each chapter for further investigation
Time-dependent analysis of non-empty M/E k /1 queue. Quality Technology & Quantitative Management, 5(3), 309–320. Gross, D., Harris, C.M., Shortle, J.F., Thompson, J.M. (2018). Fundamentals of Queueing Theory, 5th ed.
Author: Vladimir Anisimov
Publisher: John Wiley & Sons
ISBN: 9781119755210
Category: Mathematics
Page: 336
View: 692
The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This second volume includes eight chapters written by experts wellknown in their areas. The book conducts a stability analysis of certain types of multiserver regenerative queueing systems; a transient evaluation of Markovian queueing systems, focusing on closed-form distributions and numerical techniques; analysis of queueing models in service sectors using analytical and simulation approaches; plus an investigation of probability distributions in queueing models and their use in economics, industry, demography and environmental studies. This book also considers techniques for the control of information in queueing systems and their impact on strategic customer behavior, social welfare and the revenue of monopolists. In addition, applications of maximum entropy methods of inference for the analysis of a stable M/G/1 queue with heavy tails, and inventory models with positive service time - including perishable items and stock supplied using various algorithmic control policies ((s; S); (r;Q), etc.).
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