Mathematical Methods in the Theory of Queuing

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Publisher : Courier Corporation
ISBN 13 : 0486490963
Total Pages : 130 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Mathematical Methods in the Theory of Queuing by : A. Y. Khinchin

Download or read book Mathematical Methods in the Theory of Queuing written by A. Y. Khinchin and published by Courier Corporation. This book was released on 2013-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probability and mathematical analysis. Students and professionals in operations research as well as applied mathematicians will find this elegant, ground-breaking work of substantial interest. 1960 edition.

Mathematical Methods in Queuing Theory

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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.

Mathematical Methods in Queuing Theory

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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.

Mathematical Methods in Queuing Theory

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Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.:/5 (959 download)

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Book Synopsis Mathematical Methods in Queuing Theory by : United States

Download or read book Mathematical Methods in Queuing Theory written by United States and published by . This book was released on 1974 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in the Theory of Queueing

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Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (478 download)

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Book Synopsis Mathematical Methods in the Theory of Queueing by : Eric Wolman

Download or read book Mathematical Methods in the Theory of Queueing written by Eric Wolman and published by . This book was released on 1969 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in the Theory of Queueing

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Methods in the Theory of Queueing by : Aleksandr I͡Akovlevich Khinchin

Download or read book Mathematical Methods in the Theory of Queueing written by Aleksandr I͡Akovlevich Khinchin and published by . This book was released on 1969 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in Queueing Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642808387
Total Pages : 371 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mathematical Methods in Queueing Theory by : A. B. Clarke

Download or read book Mathematical Methods in Queueing Theory written by A. B. Clarke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab lishments participated in the Conference. A list of these partici pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.

Asymptotic Methods in Queuing Theory

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Asymptotic Methods in Queuing Theory by : Aleksandr Alekseevich Borovkov

Download or read book Asymptotic Methods in Queuing Theory written by Aleksandr Alekseevich Borovkov and published by John Wiley & Sons. This book was released on 1984 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in the Theory of Queueing

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Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Mathematical Methods in the Theory of Queueing by : Aleksandr Yakovlevich Khintchin

Download or read book Mathematical Methods in the Theory of Queueing written by Aleksandr Yakovlevich Khintchin and published by . This book was released on 1960 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods for Construction of Queueing Models

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Publisher : Springer
ISBN 13 : 9781468414776
Total Pages : 431 pages
Book Rating : 4.4/5 (147 download)

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Book Synopsis Mathematical Methods for Construction of Queueing Models by : Vladimir Kalashnikov

Download or read book Mathematical Methods for Construction of Queueing Models written by Vladimir Kalashnikov and published by Springer. This book was released on 2013-01-03 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: to the English edition Many processes that describe the operation of engineering, economic, organiza tional, and other systems are represented as sequences of operations performed on material, information, or other types of flows. Typical examples are processes of connection of telephone users, data transmission and processing, calculation at multi user computer centers, and queueing at service centers. The models studied by the theory of service systems, or queueing theory, are used to describe such processes. The more pessimistic term "queueing theory" is used more often in the non-Soviet literature. Random arrivals (requests for service), probability distributions defining queueing processes (distributions of service times and acceptable waiting times), and structure parameters (customer priorities, parameters that delimit acceptable queues, parameters that define paths of customers, etc.) are characteristic com ponents of queueing models. Typical output characteristics of queueing models are the probability distributions of queue lengths, waiting times, lengths of busy periods, and so forth.

An Introduction to Queueing Theory

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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.

Mathematical Methods for Construction of Queueing Models

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Publisher : Springer
ISBN 13 :
Total Pages : 458 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Mathematical Methods for Construction of Queueing Models by : Vladimir Kalashnikov

Download or read book Mathematical Methods for Construction of Queueing Models written by Vladimir Kalashnikov and published by Springer. This book was released on 1990-07-12 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: to the English edition Many processes that describe the operation of engineering, economic, organiza tional, and other systems are represented as sequences of operations performed on material, information, or other types of flows. Typical examples are processes of connection of telephone users, data transmission and processing, calculation at multi user computer centers, and queueing at service centers. The models studied by the theory of service systems, or queueing theory, are used to describe such processes. The more pessimistic term "queueing theory" is used more often in the non-Soviet literature. Random arrivals (requests for service), probability distributions defining queueing processes (distributions of service times and acceptable waiting times), and structure parameters (customer priorities, parameters that delimit acceptable queues, parameters that define paths of customers, etc.) are characteristic com ponents of queueing models. Typical output characteristics of queueing models are the probability distributions of queue lengths, waiting times, lengths of busy periods, and so forth.

Mathematical Methods in Queueing Theory

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Publisher : Springer
ISBN 13 : 9783540067634
Total Pages : 378 pages
Book Rating : 4.0/5 (676 download)

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Book Synopsis Mathematical Methods in Queueing Theory by : A. B. Clarke

Download or read book Mathematical Methods in Queueing Theory written by A. B. Clarke and published by Springer. This book was released on 1974-05-29 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab lishments participated in the Conference. A list of these partici pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.

Advances in Queueing Theory, Methods, and Open Problems

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Publisher : CRC Press
ISBN 13 : 1000949931
Total Pages : 530 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Advances in Queueing Theory, Methods, and Open Problems by : Jewgeni H. Dshalalow

Download or read book Advances in Queueing Theory, Methods, and Open Problems written by Jewgeni H. Dshalalow and published by CRC Press. This book was released on 2023-07-21 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods in Queueing Theory

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Mathematical Methods in Queueing Theory by :

Download or read book Mathematical Methods in Queueing Theory written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in Queueing Theory

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Publisher : Springer
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Methods in Queueing Theory by : A. Bruce Clarke

Download or read book Mathematical Methods in Queueing Theory written by A. Bruce Clarke and published by Springer. This book was released on 1974 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Queueing Theory

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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.