Probability Markov Chains Queues And Simulation

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Probability, Markov Chains, Queues, and Simulation

Author : William J. Stewart
Publisher : Princeton University Press
ISBN 13 : 0691140626
Total Pages : 778 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Probability, Markov Chains, Queues, and Simulation by : William J. Stewart

Download or read book Probability, Markov Chains, Queues, and Simulation written by William J. Stewart and published by Princeton University Press. This book was released on 2009-07-26 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics. The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation. Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only). Numerous examples illuminate the mathematical theories Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach Each chapter concludes with an extensive set of exercises

Probability, Markov Chains, Queues, and Simulation

Author : William J. Stewart
Publisher : Princeton University Press
ISBN 13 : 1400832810
Total Pages : 777 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Probability, Markov Chains, Queues, and Simulation by : William J. Stewart

Download or read book Probability, Markov Chains, Queues, and Simulation written by William J. Stewart and published by Princeton University Press. This book was released on 2009-07-06 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics. The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation. Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only). Numerous examples illuminate the mathematical theories Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach Each chapter concludes with an extensive set of exercises

Markov Chains

Author : Pierre Bremaud
Publisher : Springer Science & Business Media
ISBN 13 : 9780387985091
Total Pages : 470 pages
Book Rating : 4.9/5 (85 download)

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Book Synopsis Markov Chains by : Pierre Bremaud

Download or read book Markov Chains written by Pierre Bremaud and published by Springer Science & Business Media. This book was released on 2001-01-18 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily an introduction to the theory of stochastic processes at the undergraduate or beginning graduate level, the primary objective of this book is to initiate students in the art of stochastic modelling. However it is motivated by significant applications and progressively brings the student to the borders of contemporary research. Examples are from a wide range of domains, including operations research and electrical engineering. Researchers and students in these areas as well as in physics, biology and the social sciences will find this book of interest.

Markov Chains

Author : Pierre Bremaud
Publisher : Springer Science & Business Media
ISBN 13 : 1475731248
Total Pages : 456 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Markov Chains by : Pierre Bremaud

Download or read book Markov Chains written by Pierre Bremaud and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily an introduction to the theory of stochastic processes at the undergraduate or beginning graduate level, the primary objective of this book is to initiate students in the art of stochastic modelling. However it is motivated by significant applications and progressively brings the student to the borders of contemporary research. Examples are from a wide range of domains, including operations research and electrical engineering. Researchers and students in these areas as well as in physics, biology and the social sciences will find this book of interest.

Markov Chains

Author : Pierre Brémaud
Publisher : Springer Nature
ISBN 13 : 3030459829
Total Pages : 557 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Markov Chains by : Pierre Brémaud

Download or read book Markov Chains written by Pierre Brémaud and published by Springer Nature. This book was released on 2020-05-23 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily an introduction to the theory of stochastic processes at the undergraduate or beginning graduate level, the primary objective of this book is to initiate students in the art of stochastic modelling. However it is motivated by significant applications and progressively brings the student to the borders of contemporary research. Examples are from a wide range of domains, including operations research and electrical engineering. Researchers and students in these areas as well as in physics, biology and the social sciences will find this book of interest.

Probability, Markov Chains, Queues

Author : William J. Stewart
Publisher :
ISBN 13 : 9780691142302
Total Pages : 776 pages
Book Rating : 4.1/5 (423 download)

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Book Synopsis Probability, Markov Chains, Queues by : William J. Stewart

Download or read book Probability, Markov Chains, Queues written by William J. Stewart and published by . This book was released on 2009-09-01 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Queueing Networks and Markov Chains

Author : Gunter Bolch
Publisher : John Wiley & Sons
ISBN 13 : 0471565253
Total Pages : 901 pages
Book Rating : 4.4/5 (715 download)

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Book Synopsis Queueing Networks and Markov Chains by : Gunter Bolch

Download or read book Queueing Networks and Markov Chains written by Gunter Bolch and published by John Wiley & Sons. This book was released on 2006-04-14 with total page 901 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critically acclaimed text for computer performance analysis--now in its second edition The Second Edition of this now-classic text provides a current and thorough treatment of queueing systems, queueing networks, continuous and discrete-time Markov chains, and simulation. Thoroughly updated with new content, as well as new problems and worked examples, the text offers readers both the theory and practical guidance needed to conduct performance and reliability evaluations of computer, communication, and manufacturing systems. Starting with basic probability theory, the text sets the foundation for the more complicated topics of queueing networks and Markov chains, using applications and examples to illustrate key points. Designed to engage the reader and build practical performance analysis skills, the text features a wealth of problems that mirror actual industry challenges. New features of the Second Edition include: * Chapter examining simulation methods and applications * Performance analysis applications for wireless, Internet, J2EE, and Kanban systems * Latest material on non-Markovian and fluid stochastic Petri nets, as well as solution techniques for Markov regenerative processes * Updated discussions of new and popular performance analysis tools, including ns-2 and OPNET * New and current real-world examples, including DiffServ routers in the Internet and cellular mobile networks With the rapidly growing complexity of computer and communication systems, the need for this text, which expertly mixes theory and practice, is tremendous. Graduate and advanced undergraduate students in computer science will find the extensive use of examples and problems to be vital in mastering both the basics and the fine points of the field, while industry professionals will find the text essential for developing systems that comply with industry standards and regulations.

Student Solutions Manual for Markov Processes for Stochastic Modeling

Author : Oliver Ibe
Publisher : Academic Press
ISBN 13 : 0080952143
Total Pages : 120 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Student Solutions Manual for Markov Processes for Stochastic Modeling by : Oliver Ibe

Download or read book Student Solutions Manual for Markov Processes for Stochastic Modeling written by Oliver Ibe and published by Academic Press. This book was released on 2008-11-21 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Student Solutions Manual for Markov Processes for Stochastic Modeling

Probability, Stochastic Processes, and Queueing Theory

Author : Randolph Nelson
Publisher : Springer Science & Business Media
ISBN 13 : 1475724268
Total Pages : 595 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Probability, Stochastic Processes, and Queueing Theory by : Randolph Nelson

Download or read book Probability, Stochastic Processes, and Queueing Theory written by Randolph Nelson and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: We will occasionally footnote a portion of text with a "**,, to indicate Notes on the that this portion can be initially bypassed. The reasons for bypassing a Text portion of the text include: the subject is a special topic that will not be referenced later, the material can be skipped on first reading, or the level of mathematics is higher than the rest of the text. In cases where a topic is self-contained, we opt to collect the material into an appendix that can be read by students at their leisure. The material in the text cannot be fully assimilated until one makes it Notes on "their own" by applying the material to specific problems. Self-discovery Problems is the best teacher and although they are no substitute for an inquiring mind, problems that explore the subject from different viewpoints can often help the student to think about the material in a uniquely per sonal way. With this in mind, we have made problems an integral part of this work and have attempted to make them interesting as well as informative.

Applied Probability and Queues

Author : Soeren Asmussen
Publisher : Springer Science & Business Media
ISBN 13 : 0387215255
Total Pages : 438 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Applied Probability and Queues by : Soeren Asmussen

Download or read book Applied Probability and Queues written by Soeren Asmussen and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a highly recommendable survey of mathematical tools and results in applied probability with special emphasis on queueing theory....The second edition at hand is a thoroughly updated and considerably expended version of the first edition.... This book and the way the various topics are balanced are a welcome addition to the literature. It is an indispensable source of information for both advanced graduate students and researchers." --MATHEMATICAL REVIEWS

An Introduction to Queueing Theory

Author : U. Narayan Bhat
Publisher : Birkhäuser
ISBN 13 : 0817684212
Total Pages : 339 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 339 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

Stochastic Modeling and the Theory of Queues

Author : Ronald W. Wolff
Publisher : Pearson
ISBN 13 :
Total Pages : 584 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 584 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)

Numerical Methods in Markov Chains and Bulk Queues

Author : T. P. Bagchi
Publisher : Springer Science & Business Media
ISBN 13 : 3642807127
Total Pages : 100 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Numerical Methods in Markov Chains and Bulk Queues by : T. P. Bagchi

Download or read book Numerical Methods in Markov Chains and Bulk Queues written by T. P. Bagchi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Chains

Author : J. R. Norris
Publisher : Cambridge University Press
ISBN 13 : 9780521633963
Total Pages : 260 pages
Book Rating : 4.6/5 (339 download)

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Book Synopsis Markov Chains by : J. R. Norris

Download or read book Markov Chains written by J. R. Norris and published by Cambridge University Press. This book was released on 1998-07-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov chains are central to the understanding of random processes. This is not only because they pervade the applications of random processes, but also because one can calculate explicitly many quantities of interest. This textbook, aimed at advanced undergraduate or MSc students with some background in basic probability theory, focuses on Markov chains and quickly develops a coherent and rigorous theory whilst showing also how actually to apply it. Both discrete-time and continuous-time chains are studied. A distinguishing feature is an introduction to more advanced topics such as martingales and potentials in the established context of Markov chains. There are applications to simulation, economics, optimal control, genetics, queues and many other topics, and exercises and examples drawn both from theory and practice. It will therefore be an ideal text either for elementary courses on random processes or those that are more oriented towards applications.

Advances in Queueing Theory, Methods, and Open Problems

Author : Jewgeni H. Dshalalow
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.

Applied Probability and Queues Theory

Author : Soren Asmussen
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Applied Probability and Queues Theory by : Soren Asmussen

Download or read book Applied Probability and Queues Theory written by Soren Asmussen and published by . This book was released on 1987-05-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: As well as combining a general account of applied probability and stochastic processes with a more specialized treatment of queueing theory, this book provides thorough coverage of the general tools of applied probability, such as Markov chains, renewal theory and regenerative processes.

Comparison Methods for Queues and Other Stochastic Models

Author : Dietrich Stoyan
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Comparison Methods for Queues and Other Stochastic Models by : Dietrich Stoyan

Download or read book Comparison Methods for Queues and Other Stochastic Models written by Dietrich Stoyan and published by . This book was released on 1983 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies stochastic models of queueing, reliability, inventory, and sequencing in which random influences are considered. One stochastic mode—rl is approximated by another that is simpler in structure or about which simpler assumptions can be made. After general results on comparison properties of random variables and stochastic processes are given, the properties are illustrated by application to various queueing models and questions in experimental design, renewal and reliability theory, PERT networks and branching processes.