Markov Chains Models Algorithms And Applications

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Markov Chains: Models, Algorithms and Applications

Author : Wai-Ki Ching
Publisher : Springer Science & Business Media
ISBN 13 : 038729337X
Total Pages : 212 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Markov Chains: Models, Algorithms and Applications by : Wai-Ki Ching

Download or read book Markov Chains: Models, Algorithms and Applications written by Wai-Ki Ching and published by Springer Science & Business Media. This book was released on 2006-06-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov chains are a particularly powerful and widely used tool for analyzing a variety of stochastic (probabilistic) systems over time. This monograph will present a series of Markov models, starting from the basic models and then building up to higher-order models. Included in the higher-order discussions are multivariate models, higher-order multivariate models, and higher-order hidden models. In each case, the focus is on the important kinds of applications that can be made with the class of models being considered in the current chapter. Special attention is given to numerical algorithms that can efficiently solve the models. Therefore, Markov Chains: Models, Algorithms and Applications outlines recent developments of Markov chain models for modeling queueing sequences, Internet, re-manufacturing systems, reverse logistics, inventory systems, bio-informatics, DNA sequences, genetic networks, data mining, and many other practical systems.

Operations Management in Advanced Manufacture and Services Common Issues : Common Approaches

Author : Douglas K. Macbeth
Publisher :
ISBN 13 : 9781854230379
Total Pages : 350 pages
Book Rating : 4.2/5 (33 download)

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Book Synopsis Operations Management in Advanced Manufacture and Services Common Issues : Common Approaches by : Douglas K. Macbeth

Download or read book Operations Management in Advanced Manufacture and Services Common Issues : Common Approaches written by Douglas K. Macbeth and published by . This book was released on 1989 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Processes and Applications

Author : Etienne Pardoux
Publisher : John Wiley & Sons
ISBN 13 : 0470721863
Total Pages : 322 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Markov Processes and Applications by : Etienne Pardoux

Download or read book Markov Processes and Applications written by Etienne Pardoux and published by John Wiley & Sons. This book was released on 2008-11-20 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This well-written book provides a clear and accessible treatment of the theory of discrete and continuous-time Markov chains, with an emphasis towards applications. The mathematical treatment is precise and rigorous without superfluous details, and the results are immediately illustrated in illuminating examples. This book will be extremely useful to anybody teaching a course on Markov processes." Jean-François Le Gall, Professor at Université de Paris-Orsay, France. Markov processes is the class of stochastic processes whose past and future are conditionally independent, given their present state. They constitute important models in many applied fields. After an introduction to the Monte Carlo method, this book describes discrete time Markov chains, the Poisson process and continuous time Markov chains. It also presents numerous applications including Markov Chain Monte Carlo, Simulated Annealing, Hidden Markov Models, Annotation and Alignment of Genomic sequences, Control and Filtering, Phylogenetic tree reconstruction and Queuing networks. The last chapter is an introduction to stochastic calculus and mathematical finance. Features include: The Monte Carlo method, discrete time Markov chains, the Poisson process and continuous time jump Markov processes. An introduction to diffusion processes, mathematical finance and stochastic calculus. Applications of Markov processes to various fields, ranging from mathematical biology, to financial engineering and computer science. Numerous exercises and problems with solutions to most of them

Finite Markov Chains and Algorithmic Applications

Author : Olle Häggström
Publisher : Cambridge University Press
ISBN 13 : 9780521890014
Total Pages : 132 pages
Book Rating : 4.8/5 (9 download)

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Book Synopsis Finite Markov Chains and Algorithmic Applications by : Olle Häggström

Download or read book Finite Markov Chains and Algorithmic Applications written by Olle Häggström and published by Cambridge University Press. This book was released on 2002-05-30 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2002 book, the author develops the necessary background in probability theory and Markov chains then discusses important computing applications.

Markov Chains

Author : Bruno Sericola
Publisher : John Wiley & Sons
ISBN 13 : 1118731530
Total Pages : 306 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Markov Chains by : Bruno Sericola

Download or read book Markov Chains written by Bruno Sericola and published by John Wiley & Sons. This book was released on 2013-08-05 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communication networks and manufacturing systems. The success of Markov chains is mainly due to their simplicity of use, the large number of available theoretical results and the quality of algorithms developed for the numerical evaluation of many metrics of interest. The author presents the theory of both discrete-time and continuous-time homogeneous Markov chains. He carefully examines the explosion phenomenon, the Kolmogorov equations, the convergence to equilibrium and the passage time distributions to a state and to a subset of states. These results are applied to birth-and-death processes. He then proposes a detailed study of the uniformization technique by means of Banach algebra. This technique is used for the transient analysis of several queuing systems. Contents 1. Discrete-Time Markov Chains 2. Continuous-Time Markov Chains 3. Birth-and-Death Processes 4. Uniformization 5. Queues About the Authors Bruno Sericola is a Senior Research Scientist at Inria Rennes – Bretagne Atlantique in France. His main research activity is in performance evaluation of computer and communication systems, dependability analysis of fault-tolerant systems and stochastic models.

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.

Markov Chains and Decision Processes for Engineers and Managers

Author : Theodore J. Sheskin
Publisher : CRC Press
ISBN 13 : 1420051121
Total Pages : 478 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Markov Chains and Decision Processes for Engineers and Managers by : Theodore J. Sheskin

Download or read book Markov Chains and Decision Processes for Engineers and Managers written by Theodore J. Sheskin and published by CRC Press. This book was released on 2016-04-19 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recognized as a powerful tool for dealing with uncertainty, Markov modeling can enhance your ability to analyze complex production and service systems. However, most books on Markov chains or decision processes are often either highly theoretical, with few examples, or highly prescriptive, with little justification for the steps of the algorithms u

Markov Chains

Author : Paul A. Gagniuc
Publisher : John Wiley & Sons
ISBN 13 : 1119387558
Total Pages : 252 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Markov Chains by : Paul A. Gagniuc

Download or read book Markov Chains written by Paul A. Gagniuc and published by John Wiley & Sons. This book was released on 2017-07-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating and instructive guide to Markov chains for experienced users and newcomers alike This unique guide to Markov chains approaches the subject along the four convergent lines of mathematics, implementation, simulation, and experimentation. It introduces readers to the art of stochastic modeling, shows how to design computer implementations, and provides extensive worked examples with case studies. Markov Chains: From Theory to Implementation and Experimentation begins with a general introduction to the history of probability theory in which the author uses quantifiable examples to illustrate how probability theory arrived at the concept of discrete-time and the Markov model from experiments involving independent variables. An introduction to simple stochastic matrices and transition probabilities is followed by a simulation of a two-state Markov chain. The notion of steady state is explored in connection with the long-run distribution behavior of the Markov chain. Predictions based on Markov chains with more than two states are examined, followed by a discussion of the notion of absorbing Markov chains. Also covered in detail are topics relating to the average time spent in a state, various chain configurations, and n-state Markov chain simulations used for verifying experiments involving various diagram configurations. • Fascinating historical notes shed light on the key ideas that led to the development of the Markov model and its variants • Various configurations of Markov Chains and their limitations are explored at length • Numerous examples—from basic to complex—are presented in a comparative manner using a variety of color graphics • All algorithms presented can be analyzed in either Visual Basic, Java Script, or PHP • Designed to be useful to professional statisticians as well as readers without extensive knowledge of probability theory Covering both the theory underlying the Markov model and an array of Markov chain implementations, within a common conceptual framework, Markov Chains: From Theory to Implementation and Experimentation is a stimulating introduction to and a valuable reference for those wishing to deepen their understanding of this extremely valuable statistical tool. Paul A. Gagniuc, PhD, is Associate Professor at Polytechnic University of Bucharest, Romania. He obtained his MS and his PhD in genetics at the University of Bucharest. Dr. Gagniuc’s work has been published in numerous high profile scientific journals, ranging from the Public Library of Science to BioMed Central and Nature journals. He is the recipient of several awards for exceptional scientific results and a highly active figure in the review process for different scientific areas.

Markov Models

Author : Steven Taylor
Publisher : Steven Taylor
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4./5 ( download)

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Book Synopsis Markov Models by : Steven Taylor

Download or read book Markov Models written by Steven Taylor and published by Steven Taylor. This book was released on 2020-07-14 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov Models This book will offer you an insight into the Hidden Markov Models as well as the Bayesian Networks. Additionally, by reading this book, you will also learn algorithms such as Markov Chain Sampling. Furthermore, this book will also teach you how Markov Models are very relevant when a decision problem is associated with a risk that continues over time, when the timing of occurrences is vital as well as when events occur more than once. This book highlights several applications of Markov Models. Lastly, after purchasing this book, you will need to put in a lot of effort and time for you to reap the maximum benefits. By Downloading This Book Now You Will Discover: Hidden Markov Models Dynamic Bayesian Networks Stepwise Mutations using the Wright Fisher Model Using Normalized Algorithms to Update the Formulas Types of Markov Processes Important Tools used with HMM Machine Learning And much much more! Download this book now and learn more about Markov Models!

Markov Chains

Author : Bruno Sericola
Publisher : Wiley-ISTE
ISBN 13 : 9781848214934
Total Pages : 0 pages
Book Rating : 4.2/5 (149 download)

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Book Synopsis Markov Chains by : Bruno Sericola

Download or read book Markov Chains written by Bruno Sericola and published by Wiley-ISTE. This book was released on 2013-07-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communication networks and manufacturing systems. The success of Markov chains is mainly due to their simplicity of use, the large number of available theoretical results and the quality of algorithms developed for the numerical evaluation of many metrics of interest. The author presents the theory of both discrete-time and continuous-time homogeneous Markov chains. He carefully examines the explosion phenomenon, the Kolmogorov equations, the convergence to equilibrium and the passage time distributions to a state and to a subset of states. These results are applied to birth-and-death processes. He then proposes a detailed study of the uniformization technique by means of Banach algebra. This technique is used for the transient analysis of several queuing systems. Contents 1. Discrete-Time Markov Chains 2. Continuous-Time Markov Chains 3. Birth-and-Death Processes 4. Uniformization 5. Queues About the Authors Bruno Sericola is a Senior Research Scientist at Inria Rennes – Bretagne Atlantique in France. His main research activity is in performance evaluation of computer and communication systems, dependability analysis of fault-tolerant systems and stochastic models.

Discrete-Time Markov Chains

Author : George Yin
Publisher : Springer Science & Business Media
ISBN 13 : 9780387219486
Total Pages : 372 pages
Book Rating : 4.2/5 (194 download)

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Book Synopsis Discrete-Time Markov Chains by : George Yin

Download or read book Discrete-Time Markov Chains written by George Yin and published by Springer Science & Business Media. This book was released on 2005 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on discrete-time-scale Markov chains, the contents of this book are an outgrowth of some of the authors' recent research. The motivation stems from existing and emerging applications in optimization and control of complex hybrid Markovian systems in manufacturing, wireless communication, and financial engineering. Much effort in this book is devoted to designing system models arising from these applications, analyzing them via analytic and probabilistic techniques, and developing feasible computational algorithms so as to reduce the inherent complexity. This book presents results including asymptotic expansions of probability vectors, structural properties of occupation measures, exponential bounds, aggregation and decomposition and associated limit processes, and interface of discrete-time and continuous-time systems. One of the salient features is that it contains a diverse range of applications on filtering, estimation, control, optimization, and Markov decision processes, and financial engineering. This book will be an important reference for researchers in the areas of applied probability, control theory, operations research, as well as for practitioners who use optimization techniques. Part of the book can also be used in a graduate course of applied probability, stochastic processes, and applications.

Markov Chains and Stochastic Stability

Author : Sean Meyn
Publisher : Cambridge University Press
ISBN 13 : 1139477978
Total Pages : 595 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Markov Chains and Stochastic Stability by : Sean Meyn

Download or read book Markov Chains and Stochastic Stability written by Sean Meyn and published by Cambridge University Press. This book was released on 2009-04-02 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meyn and Tweedie is back! The bible on Markov chains in general state spaces has been brought up to date to reflect developments in the field since 1996 - many of them sparked by publication of the first edition. The pursuit of more efficient simulation algorithms for complex Markovian models, or algorithms for computation of optimal policies for controlled Markov models, has opened new directions for research on Markov chains. As a result, new applications have emerged across a wide range of topics including optimisation, statistics, and economics. New commentary and an epilogue by Sean Meyn summarise recent developments and references have been fully updated. This second edition reflects the same discipline and style that marked out the original and helped it to become a classic: proofs are rigorous and concise, the range of applications is broad and knowledgeable, and key ideas are accessible to practitioners with limited mathematical background.

Markov Chains and Decision Processes for Engineers and Managers

Author : Theodore J Sheskin
Publisher : CRC Press
ISBN 13 : 9780367383435
Total Pages : 492 pages
Book Rating : 4.3/5 (834 download)

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Book Synopsis Markov Chains and Decision Processes for Engineers and Managers by : Theodore J Sheskin

Download or read book Markov Chains and Decision Processes for Engineers and Managers written by Theodore J Sheskin and published by CRC Press. This book was released on 2019-08-30 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recognized as a powerful tool for dealing with uncertainty, Markov modeling can enhance your ability to analyze complex production and service systems. However, most books on Markov chains or decision processes are often either highly theoretical, with few examples, or highly prescriptive, with little justification for the steps of the algorithms used to solve Markov models. Providing a unified treatment of Markov chains and Markov decision processes in a single volume, Markov Chains and Decision Processes for Engineers and Managers supplies a highly detailed description of the construction and solution of Markov models that facilitates their application to diverse processes. Organized around Markov chain structure, the book begins with descriptions of Markov chain states, transitions, structure, and models, and then discusses steady state distributions and passage to a target state in a regular Markov chain. The author treats canonical forms and passage to target states or to classes of target states for reducible Markov chains. He adds an economic dimension by associating rewards with states, thereby linking a Markov chain to a Markov decision process, and then adds decisions to create a Markov decision process, enabling an analyst to choose among alternative Markov chains with rewards so as to maximize expected rewards. An introduction to state reduction and hidden Markov chains rounds out the coverage. In a presentation that balances algorithms and applications, the author provides explanations of the logical relationships that underpin the formulas or algorithms through informal derivations, and devotes considerable attention to the construction of Markov models. He constructs simplified Markov models for a wide assortment of processes such as the weather, gambling, diffusion of gases, a waiting line, inventory, component replacement, machine maintenance, selling a stock, a charge account, a career path, patient flow

Handbook of Markov Chain Monte Carlo

Author : Steve Brooks
Publisher : CRC Press
ISBN 13 : 1420079425
Total Pages : 620 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Markov Chain Monte Carlo by : Steve Brooks

Download or read book Handbook of Markov Chain Monte Carlo written by Steve Brooks and published by CRC Press. This book was released on 2011-05-10 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their popularization in the 1990s, Markov chain Monte Carlo (MCMC) methods have revolutionized statistical computing and have had an especially profound impact on the practice of Bayesian statistics. Furthermore, MCMC methods have enabled the development and use of intricate models in an astonishing array of disciplines as diverse as fisherie

Introduction to Hidden Semi-Markov Models

Author : John van der Hoek
Publisher : Cambridge University Press
ISBN 13 : 1108383904
Total Pages : 186 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis Introduction to Hidden Semi-Markov Models by : John van der Hoek

Download or read book Introduction to Hidden Semi-Markov Models written by John van der Hoek and published by Cambridge University Press. This book was released on 2018-02-08 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject by first developing the theory of Markov processes in an elementary discrete time, finite state framework suitable for senior undergraduates and graduates. The authors then introduce semi-Markov chains and hidden semi-Markov chains, before developing related estimation and filtering results. Genomics applications are modelled by discrete observations of these hidden semi-Markov chains. This book contains new results and previously unpublished material not available elsewhere. The approach is rigorous and focused on applications.

Markov Chain Monte Carlo in Practice

Author : W.R. Gilks
Publisher : CRC Press
ISBN 13 : 1482214970
Total Pages : 505 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Markov Chain Monte Carlo in Practice by : W.R. Gilks

Download or read book Markov Chain Monte Carlo in Practice written by W.R. Gilks and published by CRC Press. This book was released on 1995-12-01 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a family study of breast cancer, epidemiologists in Southern California increase the power for detecting a gene-environment interaction. In Gambia, a study helps a vaccination program reduce the incidence of Hepatitis B carriage. Archaeologists in Austria place a Bronze Age site in its true temporal location on the calendar scale. And in France,

Secondary Analysis of Electronic Health Records

Author : MIT Critical Data
Publisher : Springer
ISBN 13 : 3319437429
Total Pages : 427 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Secondary Analysis of Electronic Health Records by : MIT Critical Data

Download or read book Secondary Analysis of Electronic Health Records written by MIT Critical Data and published by Springer. This book was released on 2016-09-09 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book trains the next generation of scientists representing different disciplines to leverage the data generated during routine patient care. It formulates a more complete lexicon of evidence-based recommendations and support shared, ethical decision making by doctors with their patients. Diagnostic and therapeutic technologies continue to evolve rapidly, and both individual practitioners and clinical teams face increasingly complex ethical decisions. Unfortunately, the current state of medical knowledge does not provide the guidance to make the majority of clinical decisions on the basis of evidence. The present research infrastructure is inefficient and frequently produces unreliable results that cannot be replicated. Even randomized controlled trials (RCTs), the traditional gold standards of the research reliability hierarchy, are not without limitations. They can be costly, labor intensive, and slow, and can return results that are seldom generalizable to every patient population. Furthermore, many pertinent but unresolved clinical and medical systems issues do not seem to have attracted the interest of the research enterprise, which has come to focus instead on cellular and molecular investigations and single-agent (e.g., a drug or device) effects. For clinicians, the end result is a bit of a “data desert” when it comes to making decisions. The new research infrastructure proposed in this book will help the medical profession to make ethically sound and well informed decisions for their patients.