Introduction To Matrix Analytic Methods In Queues 1

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Introduction to Matrix Analytic Methods in Queues 1

Author : Srinivas R. Chakravarthy
Publisher : John Wiley & Sons
ISBN 13 : 1394165412
Total Pages : 372 pages
Book Rating : 4.3/5 (941 download)

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Book Synopsis Introduction to Matrix Analytic Methods in Queues 1 by : Srinivas R. Chakravarthy

Download or read book Introduction to Matrix Analytic Methods in Queues 1 written by Srinivas R. Chakravarthy and published by John Wiley & Sons. This book was released on 2022-08-19 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since. In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts and explains the results using a number of worked-out examples. This book’s approach will inform and kindle the interest of researchers attracted to this fertile field. To allow readers to practice and gain experience in the algorithmic and computational procedures of MAM, Introduction to Matrix Analytic Methods in Queues 1 provides a number of computational exercises. It also incorporates simulation as another tool for studying complex stochastic models, especially when the state space of the underlying stochastic models under analytic study grows exponentially. The book’s detailed approach will make it more accessible for readers interested in learning about MAM in stochastic models.

Introduction to Matrix-Analytic Methods in Queues 2

Author : Srinivas R. Chakravarthy
Publisher : John Wiley & Sons
ISBN 13 : 1786308231
Total Pages : 453 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Introduction to Matrix-Analytic Methods in Queues 2 by : Srinivas R. Chakravarthy

Download or read book Introduction to Matrix-Analytic Methods in Queues 2 written by Srinivas R. Chakravarthy and published by John Wiley & Sons. This book was released on 2022-10-18 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since. In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts and explains the results using a number of worked-out examples. This book's approach will inform and kindle the interest of researchers attracted to this fertile field. To allow readers to practice and gain experience in the algorithmic and computational procedures of MAM, Introduction to Matrix-Analytic Methods in Queues 2 provides a number of computational exercises. It also incorporates simulation as another tool for studying complex stochastic models, especially when the state space of the underlying stochastic models under analytic study grows exponentially. This book's detailed approach will make it more accessible for readers interested in learning about MAM in stochastic models.

Introduction to Matrix Analytic Methods in Stochastic Modeling

Author : G. Latouche
Publisher : SIAM
ISBN 13 : 9780898719734
Total Pages : 348 pages
Book Rating : 4.7/5 (197 download)

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Book Synopsis Introduction to Matrix Analytic Methods in Stochastic Modeling by : G. Latouche

Download or read book Introduction to Matrix Analytic Methods in Stochastic Modeling written by G. Latouche and published by SIAM. This book was released on 1999-01-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix analytic methods are popular as modeling tools because they give one the ability to construct and analyze a wide class of queuing models in a unified and algorithmically tractable way. The authors present the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner. In the current literature, a mixed bag of techniques is used-some probabilistic, some from linear algebra, and some from transform methods. Here, many new proofs that emphasize the unity of the matrix analytic approach are included.

Fundamentals of Matrix-Analytic Methods

Author : Qi-Ming He
Publisher : Springer Science & Business Media
ISBN 13 : 1461473306
Total Pages : 363 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fundamentals of Matrix-Analytic Methods by : Qi-Ming He

Download or read book Fundamentals of Matrix-Analytic Methods written by Qi-Ming He and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions. New materials and techniques are presented for the first time in research and engineering design. This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods. Such an approach is especially useful for engineering analysis and design. Exercises and examples are provided throughout the book.

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.

Introduction to Matrix-Analytic Methods in Queues 2

Author : Srinivas R. Chakravarthy
Publisher : John Wiley & Sons
ISBN 13 : 1394174195
Total Pages : 453 pages
Book Rating : 4.3/5 (941 download)

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Book Synopsis Introduction to Matrix-Analytic Methods in Queues 2 by : Srinivas R. Chakravarthy

Download or read book Introduction to Matrix-Analytic Methods in Queues 2 written by Srinivas R. Chakravarthy and published by John Wiley & Sons. This book was released on 2022-09-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since. In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts and explains the results using a number of worked-out examples. This book's approach will inform and kindle the interest of researchers attracted to this fertile field. To allow readers to practice and gain experience in the algorithmic and computational procedures of MAM, Introduction to Matrix-Analytic Methods in Queues 2 provides a number of computational exercises. It also incorporates simulation as another tool for studying complex stochastic models, especially when the state space of the underlying stochastic models under analytic study grows exponentially. This book's detailed approach will make it more accessible for readers interested in learning about MAM in stochastic models.

Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms

Author : Dmitri Koroliouk
Publisher : John Wiley & Sons
ISBN 13 : 139422947X
Total Pages : 276 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms by : Dmitri Koroliouk

Download or read book Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2023-07-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates a number of asymptotic and analytic approaches applied for the study of random evolutionary systems, and considers typical problems for specific examples. In this case, constructive mathematical models of natural processes are used, which more realistically describe the trajectories of diffusion-type processes, rather than those of the Wiener process. We examine models where particles have some free distance between two consecutive collisions. At the same time, we investigate two cases: the Markov evolutionary system, where the time during which the particle moves towards some direction is distributed exponentially with intensity parameter λ; and the semi-Markov evolutionary system, with arbitrary distribution of the switching process. Thus, the models investigated here describe the motion of particles with a finite speed and the proposed random evolutionary process with characteristics of a natural physical process: free run and finite propagation speed. In the proposed models, the number of possible directions of evolution can be finite or infinite.

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

Author : Alexander Dudin
Publisher : Springer Nature
ISBN 13 : 3031329902
Total Pages : 250 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Information Technologies and Mathematical Modelling. Queueing Theory and Applications by : Alexander Dudin

Download or read book Information Technologies and Mathematical Modelling. Queueing Theory and Applications written by Alexander Dudin and published by Springer Nature. This book was released on 2023-05-12 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 21st International Conference on Information Technologies and Mathematical Modelling. Queueing Theory and Applications, ITMM 2022, held in Karshi, Uzbekistan, during October 25–29, 2022. The 19 full papers included in this book were carefully reviewed and selected from 89 submissions. The papers are devoted to new results in queueing theory and its applications. Its target audience includes specialists in probabilistic theory, random processes, mathematical modeling as well as engineers engaged in logical and technical design and operational management of data processing systems, communication, and computer networks./div

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

Author : Alexander Dudin
Publisher : Springer Nature
ISBN 13 : 3031653858
Total Pages : 340 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Information Technologies and Mathematical Modelling. Queueing Theory and Applications by : Alexander Dudin

Intelligent Computing on IoT 2.0, Big Data Analytics, and Block Chain Technology

Author : Mohammad S. Obaidat
Publisher : CRC Press
ISBN 13 : 1040019633
Total Pages : 418 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Intelligent Computing on IoT 2.0, Big Data Analytics, and Block Chain Technology by : Mohammad S. Obaidat

Download or read book Intelligent Computing on IoT 2.0, Big Data Analytics, and Block Chain Technology written by Mohammad S. Obaidat and published by CRC Press. This book was released on 2024-05-23 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed as a reference text and explores the concepts and techniques of IoT, artificial intelligence (AI), and blockchain. It also discusses the possibility of applying blockchain for providing security in various domains. The specific highlight of this book is focused on the application of integrated technologies in enhancing data models, better insights and discovery, intelligent predictions, smarter finance, smart retail, global verification, transparent governance, and innovative audit systems. The book discusses the potential of blockchain to significantly increase data while boosting accuracy and integrity in IoT-generated data and AI-processed information. It elucidates definitions, concepts, theories, and assumptions involved in smart contracts and distributed ledgers related to IoT systems and AI approaches. The book offers real-world uses of blockchain technologies in different IoT systems and further studies its influence in supply chains and logistics, the automotive industry, smart homes, the pharmaceutical industry, agriculture, and other areas. It also presents readers with ways of employing blockchain in IoT and AI, helping them to understand what they can and cannot do with blockchain. The book is aimed primarily at advanced undergraduates and graduates studying computer science, computer engineering, electrical engineering, information systems, computational sciences, artificial intelligence, and information technology. Researchers and professionals will also find this book very useful.

Computational Probability

Author : Winfried K. Grassmann
Publisher : Springer Science & Business Media
ISBN 13 : 9780792386179
Total Pages : 514 pages
Book Rating : 4.3/5 (861 download)

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Book Synopsis Computational Probability by : Winfried K. Grassmann

Download or read book Computational Probability written by Winfried K. Grassmann and published by Springer Science & Business Media. This book was released on 2000 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Great advances have been made in recent years in the field of computational probability. In particular, the state of the art - as it relates to queuing systems, stochastic Petri-nets and systems dealing with reliability - has benefited significantly from these advances. The objective of this book is to make these topics accessible to researchers, graduate students, and practitioners. Great care was taken to make the exposition as clear as possible. Every line in the book has been evaluated, and changes have been made whenever it was felt that the initial exposition was not clear enough for the intended readership. The work of major research scholars in this field comprises the individual chapters of Computational Probability. The first chapter describes, in nonmathematical terms, the challenges in computational probability. Chapter 2 describes the methodologies available for obtaining the transition matrices for Markov chains, with particular emphasis on stochastic Petri-nets. Chapter 3 discusses how to find transient probabilities and transient rewards for these Markov chains. The next two chapters indicate how to find steady-state probabilities for Markov chains with a finite number of states. Both direct and iterative methods are described in Chapter 4. Details of these methods are given in Chapter 5. Chapters 6 and 7 deal with infinite-state Markov chains, which occur frequently in queueing, because there are times one does not want to set a bound for all queues. Chapter 8 deals with transforms, in particular Laplace transforms. The work of Ward Whitt and his collaborators, who have recently developed a number of numerical methods for Laplace transform inversions, is emphasized in this chapter. Finally, if one wants to optimize a system, one way to do the optimization is through Markov decision making, described in Chapter 9. Markov modeling has found applications in many areas, three of which are described in detail: Chapter 10 analyzes discrete-time queues, Chapter 11 describes networks of queues, and Chapter 12 deals with reliability theory.

Distributed Computer and Communication Networks

Author : Vladimir M. Vishnevskiy
Publisher : Springer Nature
ISBN 13 : 3031504828
Total Pages : 551 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Distributed Computer and Communication Networks by : Vladimir M. Vishnevskiy

Download or read book Distributed Computer and Communication Networks written by Vladimir M. Vishnevskiy and published by Springer Nature. This book was released on 2024 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: This book constitutes the refereed proceedings of the 26th International Conference on Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2023, held in Moscow, Russia, during September 25-29, 2023. The 37 full papers and 4 short papers included in this book were carefully reviewed and selected from 122 submissions. They were organized in topical sections as follows: Distributed Systems Applications; Analytical Modeling of Distributed Systems; Computer and Communication Networks

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

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.

Applied Discrete-Time Queues

Author : Attahiru Alfa
Publisher : Springer
ISBN 13 : 1493934201
Total Pages : 400 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Applied Discrete-Time Queues by : Attahiru Alfa

Download or read book Applied Discrete-Time Queues written by Attahiru Alfa and published by Springer. This book was released on 2015-12-26 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theoretical fundamentals for modeling queues in discrete-time, and the basic procedures for developing queuing models in discrete-time. There is a focus on applications in modern telecommunication systems. It presents how most queueing models in discrete-time can be set up as discrete-time Markov chains. Techniques such as matrix-analytic methods (MAM) that can used to analyze the resulting Markov chains are included. This book covers single node systems, tandem system and queueing networks. It shows how queues with time-varying parameters can be analyzed, and illustrates numerical issues associated with computations for the discrete-time queueing systems. Optimal control of queues is also covered. Applied Discrete-Time Queues targets researchers, advanced-level students and analysts in the field of telecommunication networks. It is suitable as a reference book and can also be used as a secondary text book in computer engineering and computer science. Examples and exercises are included.

Matrix-analytic Methods

Author : Guy Latouche
Publisher : World Scientific
ISBN 13 : 9789812777164
Total Pages : 440 pages
Book Rating : 4.7/5 (771 download)

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Book Synopsis Matrix-analytic Methods by : Guy Latouche

Download or read book Matrix-analytic Methods written by Guy Latouche and published by World Scientific. This book was released on 2002 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix-analytic methods are fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability. They are extensively used in the modelling and performance analysis of computer systems, telecommunication networks, network protocols and many other stochastic systems of current commercial and engineering interest.This volume deals with: (1) various aspects of the theory of block-structured Markov chains; (2) analysis of complex queueing models; and (3) parameter estimation and specific applications to such areas as cellular mobile systems, FS-ALOHA, the Internet and production systems.

Matrix-Analytic Methods in Stochastic Models

Author : S. Chakravarthy
Publisher : CRC Press
ISBN 13 : 9780824797669
Total Pages : 400 pages
Book Rating : 4.7/5 (976 download)

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Book Synopsis Matrix-Analytic Methods in Stochastic Models by : S. Chakravarthy

Download or read book Matrix-Analytic Methods in Stochastic Models written by S. Chakravarthy and published by CRC Press. This book was released on 1996-09-19 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models, held in Flint, Michigan, this book presents a general working knowledge of MAM through tutorial articles and application papers. It furnishes information on MAM studies carried out in the former Soviet Union.