Queuing Theory

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Fundamentals of Queueing Theory

Author : John F. Shortle
Publisher : John Wiley & Sons
ISBN 13 : 111894352X
Total Pages : 576 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Fundamentals of Queueing Theory by : John F. Shortle

Download or read book Fundamentals of Queueing Theory written by John F. Shortle and published by John Wiley & Sons. This book was released on 2018-04-10 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Queueing Theory

Author : U. Narayan Bhat
Publisher : Birkhäuser
ISBN 13 : 0817684212
Total Pages : 343 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to Queueing Theory by : U. Narayan Bhat

Download or read book An Introduction to Queueing Theory written by U. Narayan Bhat and published by Birkhäuser. This book was released on 2015-07-09 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

An Introduction to Queueing Theory

Author : L. Breuer
Publisher : Springer Science & Business Media
ISBN 13 : 1402036310
Total Pages : 274 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Queueing Theory by : L. Breuer

Download or read book An Introduction to Queueing Theory written by L. Breuer and published by Springer Science & Business Media. This book was released on 2006-02-23 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present textbook contains the recordsof a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours oflectures and two hours of exercises per week andhas been taughtattheUniversity of Trier, Germany, for about ten years in - quence. The course is directed to last year undergraduate and?rst year gr- uate students of applied probability and computer science, who have already completed an introduction to probability theory. Its purpose is to present - terial that is close enough to concrete queueing models and their applications, while providing a sound mathematical foundation for the analysis of these. Thus the goal of the present book is two–fold. On the one hand, students who are mainly interested in applications easily feel bored by elaborate mathematical questions in the theory of stochastic processes. The presentation of the mathematical foundations in our courses is chosen to cover only the necessary results, which are needed for a solid foundation of the methods of queueing analysis. Further, students oriented - wards applications expect to have a justi?cation for their mathematical efforts in terms of immediate use in queueing analysis. This is the main reason why we have decided to introduce new mathematical concepts only when they will be used in the immediate sequel. On the other hand, students of applied probability do not want any heur- tic derivations just for the sake of yielding fast results for the model at hand.

Stochastic Models in Queueing Theory

Author : Jyotiprasad Medhi
Publisher : Elsevier
ISBN 13 : 008054181X
Total Pages : 501 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Stochastic Models in Queueing Theory by : Jyotiprasad Medhi

Download or read book Stochastic Models in Queueing Theory written by Jyotiprasad Medhi and published by Elsevier. This book was released on 2002-11-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Methods in Queuing Theory

Author : Vladimir V. Kalashnikov
Publisher : Springer Science & Business Media
ISBN 13 : 9780792325680
Total Pages : 402 pages
Book Rating : 4.3/5 (256 download)

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Book Synopsis Mathematical Methods in Queuing Theory by : Vladimir V. Kalashnikov

Download or read book Mathematical Methods in Queuing Theory written by Vladimir V. Kalashnikov and published by Springer Science & Business Media. This book was released on 1993-12-31 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology. Some parts have formed the subject of lectures given at various universities throughout the world: Freie Universitat of Berlin, Chalmers University of Technology and the University of Goteborg, University of California at Santa Barbara and others. The subject of the book is the theory of queues. This theory, as a mathematical discipline, begins with the work of A. Erlang, who examined a model of a telephone station and obtained the famous formula for the distribution of the number of busy lines which is named after him. Queueing theory has been applied to the study of numerous models: emergency aid, road traffic, computer systems, etc. Besides, it has lead to several related disciplines such as reliability and inventory theories which deal with similar models. Nevertheless, many parts of the theory of queues were developed as a "pure science" with no practical applications. The aim of this book is to give the reader an insight into the mathematical methods which can be used in queueing theory and to present examples of solving problems with the help of these methods. Of course, the choice of the methods is quite subjective. Thus, many prominent results have not even been mentioned.

Performance Modeling and Design of Computer Systems

Author : Mor Harchol-Balter
Publisher : Cambridge University Press
ISBN 13 : 1107027500
Total Pages : 573 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Performance Modeling and Design of Computer Systems by : Mor Harchol-Balter

Download or read book Performance Modeling and Design of Computer Systems written by Mor Harchol-Balter and published by Cambridge University Press. This book was released on 2013-02-18 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with computer scientists and engineers in mind, this book brings queueing theory decisively back to computer science.

Probability, Statistics, and Queueing Theory

Author : Arnold O. Allen
Publisher : Gulf Professional Publishing
ISBN 13 : 9780120510511
Total Pages : 776 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Probability, Statistics, and Queueing Theory by : Arnold O. Allen

Download or read book Probability, Statistics, and Queueing Theory written by Arnold O. Allen and published by Gulf Professional Publishing. This book was released on 1990-08-28 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on applied probability and statistics with computer science applications for students at the upper undergraduate level. It may also be used as a self study book for the practicing computer science professional. The successful first edition of this book proved extremely useful to students who need to use probability, statistics and queueing theory to solve problems in other fields, such as engineering, physics, operations research, and management science. The book has also been successfully used for courses in queueing theory for operations research students. This second edition includes a new chapter on regression as well as more than twice as many exercises at the end of each chapter. While the emphasis is the same as in the first edition, this new book makes more extensive use of available personal computer software, such as Minitab and Mathematica.

Probability and Queueing Theory

Author : S. Palaniammal
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120342445
Total Pages : 857 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Probability and Queueing Theory by : S. Palaniammal

Download or read book Probability and Queueing Theory written by S. Palaniammal and published by PHI Learning Pvt. Ltd.. This book was released on 2011-06-30 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a textbook for the B.E./B.Tech. students of Computer Science and Engineering and Information Technology, this book provides the fundamental concepts and applications of probability and queueing theory. Beginning with a discussion on probability theory, the text analyses in detail the random variables, standard distributions, Markovian and non-Markovian queueing models with finite and infinite capacity, and queue networks. The topics are dealt with in a well-organized sequence with proper explanations along with simple mathematical formulations. KEY FEATURES: Gives concise and clear presentation of the concepts. Provides a large number of illustrative examples, in particular for queueing models and queueing networks, with step-by-step solutions to help students comprehend the concepts with ease. Includes questions asked in university examinations with their solutions for the last several years to help students in preparing for examinations. Provides hints and answers to unsolved problems. Incorporates chapter-end exercises to drill the students in self-study.

Vacation Queueing Models

Author : Naishuo Tian
Publisher : Springer Science & Business Media
ISBN 13 : 0387337237
Total Pages : 395 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Vacation Queueing Models by : Naishuo Tian

Download or read book Vacation Queueing Models written by Naishuo Tian and published by Springer Science & Business Media. This book was released on 2006-10-11 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses systematically the many variations of vacation policy. The book discusses a variety of typical vacation model applications. The presentation style is unique compared with the books published in the same field – a "theorem and proof" format is used. Also, this is the first time G1/M/1 multi-server vacation models, both continuous and discrete, and the optimization and control issues have been presented in book form.

Queueing Theory for Telecommunications

Author : Attahiru Sule Alfa
Publisher : Springer Science & Business Media
ISBN 13 : 1441973141
Total Pages : 248 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Queueing Theory for Telecommunications by : Attahiru Sule Alfa

Download or read book Queueing Theory for Telecommunications written by Attahiru Sule Alfa and published by Springer Science & Business Media. This book was released on 2010-07-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing theory applications can be discovered in many walks of life including; transportation, manufacturing, telecommunications, computer systems and more. However, the most prevalent applications of queueing theory are in the telecommunications field. Queueing Theory for Telecommunications: Discrete Time Modelling of a Single Node System focuses on discrete time modeling and illustrates that most queueing systems encountered in real life can be set up as a Markov chain. This feature is very unique because the models are set in such a way that matrix-analytic methods are used to analyze them. Queueing Theory for Telecommunications: Discrete Time Modelling of a Single Node System is the most relevant book available on queueing models designed for applications to telecommunications. This book presents clear concise theories behind how to model and analyze key single node queues in discrete time using special tools that were presented in the second chapter. The text also delves into the types of single node queues that are very frequently encountered in telecommunication systems modeling, and provides simple methods for analyzing them. Where appropriate, alternative analysis methods are also presented. This book is for advanced-level students and researchers concentrating on engineering, computer science and mathematics as a secondary text or reference book. Professionals who work in the related industries of telecommunications, industrial engineering and communications engineering will find this book useful as well.

Introduction to Queueing Theory

Author : Robert B. Cooper
Publisher :
ISBN 13 :
Total Pages : 277 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis Introduction to Queueing Theory by : Robert B. Cooper

Download or read book Introduction to Queueing Theory written by Robert B. Cooper and published by . This book was released on 1972 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is not intended to be characterized as either 'theoretical' or 'applied'. The emphasis of the book is on understanding the interplay of mathematical and heuristic reasoning that underlies queueing theory and its applications, with the following two objectives: 1) To give the student sufficient understanding of the theory so that he will be able to apply it in the practice of operations research, and 2) To give the student the background required to read the literature and embark on research.

Mathematical Methods in Queuing Theory

Author : Vladimir V. Kalashnikov
Publisher : Springer Science & Business Media
ISBN 13 : 9401721971
Total Pages : 389 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Mathematical Methods in Queuing Theory by : Vladimir V. Kalashnikov

Download or read book Mathematical Methods in Queuing Theory written by Vladimir V. Kalashnikov and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology. Some parts have formed the subject of lectures given at various universities throughout the world: Freie Universitat of Berlin, Chalmers University of Technology and the University of Goteborg, University of California at Santa Barbara and others. The subject of the book is the theory of queues. This theory, as a mathematical discipline, begins with the work of A. Erlang, who examined a model of a telephone station and obtained the famous formula for the distribution of the number of busy lines which is named after him. Queueing theory has been applied to the study of numerous models: emergency aid, road traffic, computer systems, etc. Besides, it has lead to several related disciplines such as reliability and inventory theories which deal with similar models. Nevertheless, many parts of the theory of queues were developed as a "pure science" with no practical applications. The aim of this book is to give the reader an insight into the mathematical methods which can be used in queueing theory and to present examples of solving problems with the help of these methods. Of course, the choice of the methods is quite subjective. Thus, many prominent results have not even been mentioned.

Queues

Author : Moshe Haviv
Publisher : Springer Science & Business Media
ISBN 13 : 1461467659
Total Pages : 233 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Queues by : Moshe Haviv

Download or read book Queues written by Moshe Haviv and published by Springer Science & Business Media. This book was released on 2013-05-20 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing theory (the mathematical theory of waiting lines in all its configurations) continues to be a standard major area of operations research on the stochastic side. Therefore, universities with an active program in operations research sometimes will have an entire course devoted mainly or entirely to queueing theory, and the course is also taught in computer science, electrical engineering, mathematics, and industrial engineering programs. The basic course in queueing theory is often taught at first year graduate level, though can be taught at senior level undergraduate as well. This text evolved from the author’s preferred syllabus for teaching the course, presenting the material in a more logical order than other texts and so being more effective in teaching the basics of queueing theory. The first three chapters focus on the needed preliminaries, including exposition distributions, Poisson processes and generating functions, renewal theory, and Markov chains, Then, rather than switching to first-come first-served memoryless queues here as most texts do, Haviv discusses the M/G/1 model instead of the M/M/1, and then covers priority queues. Later chapters cover the G/M/1 model, thirteen examples of continuous-time Markov processes, open networks of memoryless queues and closed networks, queueing regimes with insensitive parameters, and then concludes with two-dimensional queueing models which are quasi birth and death processes. Each chapter ends with exercises.

Fundamentals of Queuing Systems

Author : Nick T. Thomopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 146143713X
Total Pages : 187 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fundamentals of Queuing Systems by : Nick T. Thomopoulos

Download or read book Fundamentals of Queuing Systems written by Nick T. Thomopoulos and published by Springer Science & Business Media. This book was released on 2012-03-27 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waiting in lines is a staple of everyday human life. Without really noticing, we are doing it when we go to buy a ticket at a movie theater, stop at a bank to make an account withdrawal, or proceed to checkout a purchase from one of our favorite department stores. Oftentimes, waiting lines are due to overcrowded, overfilling, or congestion; any time there is more customer demand for a service than can be provided, a waiting line forms. Queuing systems is a term used to describe the methods and techniques most ideal for measuring the probability and statistics of a wide variety of waiting line models. This book provides an introduction to basic queuing systems, such as M/M/1 and its variants, as well as newer concepts like systems with priorities, networks of queues, and general service policies. Numerical examples are presented to guide readers into thinking about practical real-world applications, and students and researchers will be able to apply the methods learned to designing queuing systems that extend beyond the classroom. Very little has been published in the area of queuing systems, and this volume will appeal to graduate-level students, researchers, and practitioners in the areas of management science, applied mathematics, engineering, computer science, and statistics.

Elements of Queueing Theory, with Applications

Author : Thomas L. Saaty
Publisher : Dover Publications
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Elements of Queueing Theory, with Applications by : Thomas L. Saaty

Download or read book Elements of Queueing Theory, with Applications written by Thomas L. Saaty and published by Dover Publications. This book was released on 1983 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Modeling and the Theory of Queues

Author : Ronald W. Wolff
Publisher : Pearson
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stochastic Modeling and the Theory of Queues by : Ronald W. Wolff

Download or read book Stochastic Modeling and the Theory of Queues written by Ronald W. Wolff and published by Pearson. This book was released on 1989 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated and up-to-date treatment of applied stochastic processes and queueing theory, with an emphasis on time-averages and long-run behavior. Theory demonstrates practical effects, such as priorities, pooling of queues, and bottlenecks. Appropriate for senior/graduate courses in queueing theory in Operations Research, Computer Science, Statistics, or Industrial Engineering departments. (vs. Ross, Karlin, Kleinrock, Heyman)

Foundations of Queueing Theory

Author : N.U. Prabhu
Publisher : Springer Science & Business Media
ISBN 13 : 1461562058
Total Pages : 213 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Foundations of Queueing Theory by : N.U. Prabhu

Download or read book Foundations of Queueing Theory written by N.U. Prabhu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3. 2 The Busy Period 43 3. 3 The M 1M IS System with Last Come, First Served 50 3. 4 Comparison of FCFS and LCFS 51 3. 5 Time-Reversibility of Markov Processes 52 The Output Process 54 3. 6 3. 7 The Multi-Server System in a Series 55 Problems for Solution 3. 8 56 4 ERLANGIAN QUEUEING SYSTEMS 59 4. 1 Introduction 59 4. 2 The System M I E/c/1 60 4. 3 The System E/cl Mil 67 4. 4 The System MIDI1 72 4. 5 Problems for Solution 74 PRIORITY SYSTEMS 79 5 5. 1 Description of a System with Priorities 79 Two Priority Classes with Pre-emptive Resume Discipline 5. 2 82 5. 3 Two Priority Classes with Head-of-Line Discipline 87 5. 4 Summary of Results 91 5. 5 Optimal Assignment of Priorities 91 5. 6 Problems for Solution 93 6 QUEUEING NETWORKS 97 6. 1 Introduction 97 6. 2 A Markovian Network of Queues 98 6. 3 Closed Networks 103 Open Networks: The Product Formula 104 6. 4 6. 5 Jackson Networks 111 6. 6 Examples of Closed Networks; Cyclic Queues 112 6. 7 Examples of Open Networks 114 6. 8 Problems for Solution 118 7 THE SYSTEM M/G/I; PRIORITY SYSTEMS 123 7. 1 Introduction 123 Contents ix 7. 2 The Waiting Time in MIGI1 124 7. 3 The Sojourn Time and the Queue Length 129 7. 4 The Service Interval 132 7.