An Elementary Introduction To Queueing Systems

Author : Wah Chun Chan
Publisher : World Scientific
Page : 116 pages
File Size : 55,8 Mb
Release : 2014-05-29
Category : Technology & Engineering
ISBN : 9789814612029

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An Elementary Introduction to Queueing Systems by Wah Chun Chan Pdf

The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death process as a model. Many queueing systems can then be analyzed by choosing the proper arrival rate and service rate. This facilitates the analysis of many queueing systems. Drawing on the author's 30 years of experience in teaching and research, the book uses a simple yet effective model of thinking to illustrate the fundamental principles and rationale behind complex mathematical concepts. Explanations of key concepts are provided, while avoiding unnecessary details or extensive mathematical formulas. As a result, the text is easy to read and understand for students wishing to master the core principles of queueing theory. Contents:Modeling of Queueing SystemsQueueing Systems with LossesQueueing Systems Allowing WaitingThe Engset Loss and Delay SystemsQueueing Systems with a Single Server Readership: Researchers, academics, professionals and graduate students in electrical & electronic engineering, computer engineering and mathematical modeling. Keywords:Queueing Systems;Information Theory;Time Distribution Function

Author : U. Narayan Bhat
Publisher : Birkhäuser
Page : 339 pages
File Size : 41,8 Mb
Release : 2015-07-09
Category : Mathematics
ISBN : 9780817684211

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An Introduction to Queueing Theory by U. Narayan Bhat Pdf

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

Author : Sanjay K. Bose
Publisher : Unknown
Page : 312 pages
File Size : 41,5 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 1461500028

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An Introduction to Queueing Systems by Sanjay K. Bose Pdf

Author : Brian D. Bunday
Publisher : Hodder Education
Page : 234 pages
File Size : 55,9 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015046266642

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An Introduction to Queueing Theory by Brian D. Bunday Pdf

Developed from a successful course on queueing theory for students in operational research, this textbook develops a wide variety of realistic queueing systems. The models are developed carefully and linked to important examples. The material assumes a background in calculus and probability. Topics include birth-death models, Markov chains, and transient solutions, and the book includes numerous exercises with solutions.

Author : Linda J. S. Allen
Publisher : CRC Press
Page : 486 pages
File Size : 53,7 Mb
Release : 2010-12-02
Category : Mathematics
ISBN : 9781439894682

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An Introduction to Stochastic Processes with Applications to Biology by Linda J. S. Allen Pdf

An Introduction to Stochastic Processes with Applications to Biology, Second Edition presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems in areas such as population growth and extinction, drug kinetics, two-species competition and predation, the spread of epidemics, and

Author : Robert B. Cooper
Publisher : North-Holland
Page : 374 pages
File Size : 48,5 Mb
Release : 1981
Category : Mathematics
ISBN : UOM:39015004496637

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Introduction to Queueing Theory by Robert B. Cooper Pdf

Author : A Tornambè
Publisher : World Scientific Publishing Company
Page : 348 pages
File Size : 52,6 Mb
Release : 1995-12-31
Category : Electronic
ISBN : 9789813104914

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Discrete-Event System Theory by A Tornambè Pdf

This book provides a clear, understandable, and motivated account on the subject that spans both conventional and modern materials about discrete event systems, material that, up to now, has been presented in the literature in different fields, such as the graph theory, the probability theory, the automata's theory, and the queueing theory. The book gives a complete introduction to the discrete-event system theory and simultaneously applies the theory to practical problems. The book gives students of computer sciences, system sciences, and of electrical engineering, a clear, unambiguous, and relevant account of discrete-event systems. Numerous illustrations are included for better understanding. Problems as well as their solutions are included in each chapter. It can be used as a basic introduction for undergraduates and graduate students. Although it is logically self-contained, it presupposes the mathematical maturity acquired by students with two years of calculus.

Author : GNEDENKO
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 54,9 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9781461598268

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Introduction to Queuing Theory by GNEDENKO Pdf

Author : Laszlo Lakatos,Laszlo Szeidl,Miklos Telek
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 41,5 Mb
Release : 2012-12-15
Category : Mathematics
ISBN : 9781461453178

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Introduction to Queueing Systems with Telecommunication Applications by Laszlo Lakatos,Laszlo Szeidl,Miklos Telek Pdf

The book is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self containing introduction to the stochastic processes of the later studies queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). The next chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, ATM switches, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems. An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences.

Author : László Lakatos,László Szeidl,Miklós Telek
Publisher : Springer
Page : 559 pages
File Size : 44,5 Mb
Release : 2019-05-16
Category : Mathematics
ISBN : 9783030151423

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Introduction to Queueing Systems with Telecommunication Applications by László Lakatos,László Szeidl,Miklós Telek Pdf

The book is the extended and revised version of the 1st edition and is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self-containing introduction to the stochastic processes of the later studied queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). The next chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems. An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences. Reviews of first edition: "The organization of the book is such that queueing models are viewed as special cases of more general stochastic processes, such as birth-death or semi-Markov processes. ... this book is a valuable addition to the queuing literature and provides instructors with a viable alternative for a textbook to be used in a one- or two-semester course on queueing models, at the upper undergraduate or beginning graduate levels." Charles Knessl, SIAM Review, Vol. 56 (1), March, 2014

Author : Boris Vladimirovich Gnedenko,Igorʹ Nikolaevich Kovalenko
Publisher : Unknown
Page : 336 pages
File Size : 42,5 Mb
Release : 1989
Category : Queuing theory
ISBN : STANFORD:36105038580382

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Introduction to Queueing Theory by Boris Vladimirovich Gnedenko,Igorʹ Nikolaevich Kovalenko Pdf

Author : Leonard Kleinrock
Publisher : Wiley-Interscience
Page : 584 pages
File Size : 43,7 Mb
Release : 1976-05-06
Category : Mathematics
ISBN : UOM:39015009800122

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Queueing Systems, Volume 2 by Leonard Kleinrock Pdf

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.

Author : J. MacGregor Smith
Publisher : Springer
Page : 562 pages
File Size : 54,5 Mb
Release : 2018-08-28
Category : Mathematics
ISBN : 9783319788227

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Introduction to Queueing Networks by J. MacGregor Smith Pdf

The book examines the performance and optimization of systems where queueing and congestion are important constructs. Both finite and infinite queueing systems are examined. Many examples and case studies are utilized to indicate the breadth and depth of the queueing systems and their range of applicability. Blocking of these processes is very important and the book shows how to deal with this problem in an effective way and not only compute the performance measures of throughput, cycle times, and WIP but also to optimize the resources within these systems. The book is aimed at advanced undergraduate, graduate, and professionals and academics interested in network design, queueing performance models and their optimization. It assumes that the audience is fairly sophisticated in their mathematical understanding, although the explanations of the topics within the book are fairly detailed.

Author : B. R. K. Kashyap,M. L. Chaudhry
Publisher : Kingston, Ont. : A & A Publications
Page : 184 pages
File Size : 48,8 Mb
Release : 1988
Category : Mathematics
ISBN : CORNELL:31924058548870

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An Introduction to Queueing Theory by B. R. K. Kashyap,M. L. Chaudhry Pdf

Author : Jean-Pierre Corriou
Publisher : Springer Nature
Page : 730 pages
File Size : 46,8 Mb
Release : 2022-01-04
Category : Mathematics
ISBN : 9783030893668

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Numerical Methods and Optimization by Jean-Pierre Corriou Pdf

This text, covering a very large span of numerical methods and optimization, is primarily aimed at advanced undergraduate and graduate students. A background in calculus and linear algebra are the only mathematical requirements. The abundance of advanced methods and practical applications will be attractive to scientists and researchers working in different branches of engineering. The reader is progressively introduced to general numerical methods and optimization algorithms in each chapter. Examples accompany the various methods and guide the students to a better understanding of the applications. The user is often provided with the opportunity to verify their results with complex programming code. Each chapter ends with graduated exercises which furnish the student with new cases to study as well as ideas for exam/homework problems for the instructor. A set of programs made in MatlabTM is available on the author’s personal website and presents both numerical and optimization methods.