Finite State Continuous-time Markov Decision Processes, with Applications to a Class of Optimization Problems in Queueing Theory

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ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Finite State Continuous-time Markov Decision Processes, with Applications to a Class of Optimization Problems in Queueing Theory by : Bruce L. Miller

Download or read book Finite State Continuous-time Markov Decision Processes, with Applications to a Class of Optimization Problems in Queueing Theory written by Bruce L. Miller and published by . This book was released on 1967 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Continuous-Time Markov Decision Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642025471
Total Pages : 240 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Continuous-Time Markov Decision Processes by : Xianping Guo

Download or read book Continuous-Time Markov Decision Processes written by Xianping Guo and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous-time Markov decision processes (MDPs), also known as controlled Markov chains, are used for modeling decision-making problems that arise in operations research (for instance, inventory, manufacturing, and queueing systems), computer science, communications engineering, control of populations (such as fisheries and epidemics), and management science, among many other fields. This volume provides a unified, systematic, self-contained presentation of recent developments on the theory and applications of continuous-time MDPs. The MDPs in this volume include most of the cases that arise in applications, because they allow unbounded transition and reward/cost rates. Much of the material appears for the first time in book form.

Continuous-Time Markov Decision Processes

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Publisher : Springer Nature
ISBN 13 : 3030549879
Total Pages : 605 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Continuous-Time Markov Decision Processes by : Alexey Piunovskiy

Download or read book Continuous-Time Markov Decision Processes written by Alexey Piunovskiy and published by Springer Nature. This book was released on 2020-11-09 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic and rigorous treatment of continuous-time Markov decision processes, covering both theory and possible applications to queueing systems, epidemiology, finance, and other fields. Unlike most books on the subject, much attention is paid to problems with functional constraints and the realizability of strategies. Three major methods of investigations are presented, based on dynamic programming, linear programming, and reduction to discrete-time problems. Although the main focus is on models with total (discounted or undiscounted) cost criteria, models with average cost criteria and with impulsive controls are also discussed in depth. The book is self-contained. A separate chapter is devoted to Markov pure jump processes and the appendices collect the requisite background on real analysis and applied probability. All the statements in the main text are proved in detail. Researchers and graduate students in applied probability, operational research, statistics and engineering will find this monograph interesting, useful and valuable.

Selected Topics on Continuous-time Controlled Markov Chains and Markov Games

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Publisher : World Scientific
ISBN 13 : 1848168497
Total Pages : 292 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Selected Topics on Continuous-time Controlled Markov Chains and Markov Games by : Tomas Prieto-Rumeau

Download or read book Selected Topics on Continuous-time Controlled Markov Chains and Markov Games written by Tomas Prieto-Rumeau and published by World Scientific. This book was released on 2012 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns continuous-time controlled Markov chains, also known as continuous-time Markov decision processes. They form a class of stochastic control problems in which a single decision-maker wishes to optimize a given objective function. This book is also concerned with Markov games, where two decision-makers (or players) try to optimize their own objective function. Both decision-making processes appear in a large number of applications in economics, operations research, engineering, and computer science, among other areas. An extensive, self-contained, up-to-date analysis of basic optimality criteria (such as discounted and average reward), and advanced optimality criteria (e.g., bias, overtaking, sensitive discount, and Blackwell optimality) is presented. A particular emphasis is made on the application of the results herein: algorithmic and computational issues are discussed, and applications to population models and epidemic processes are shown. This book is addressed to students and researchers in the fields of stochastic control and stochastic games. Moreover, it could be of interest also to undergraduate and beginning graduate students because the reader is not supposed to have a high mathematical background: a working knowledge of calculus, linear algebra, probability, and continuous-time Markov chains should suffice to understand the contents of the book.

Markov Processes and Controlled Markov Chains

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Publisher : Springer Science & Business Media
ISBN 13 : 146130265X
Total Pages : 501 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Markov Processes and Controlled Markov Chains by : Zhenting Hou

Download or read book Markov Processes and Controlled Markov Chains written by Zhenting Hou and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theory of stochastic processes and the more specialized theory of Markov processes evolved enormously in the second half of the last century. In parallel, the theory of controlled Markov chains (or Markov decision processes) was being pioneered by control engineers and operations researchers. Researchers in Markov processes and controlled Markov chains have been, for a long time, aware of the synergies between these two subject areas. However, this may be the first volume dedicated to highlighting these synergies and, almost certainly, it is the first volume that emphasizes the contributions of the vibrant and growing Chinese school of probability. The chapters that appear in this book reflect both the maturity and the vitality of modern day Markov processes and controlled Markov chains. They also will provide an opportunity to trace the connections that have emerged between the work done by members of the Chinese school of probability and the work done by the European, US, Central and South American and Asian scholars.

Continuous Time Control of Markov Processes on an Arbitrary State Space

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ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Continuous Time Control of Markov Processes on an Arbitrary State Space by : Bharat T. Doshi

Download or read book Continuous Time Control of Markov Processes on an Arbitrary State Space written by Bharat T. Doshi and published by . This book was released on 1974 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation studies the problem of the control of Markov processes with continuous time parameter and arbitrary state space. The economic criteria used are (a) the expected discounted return over an infinite horizon and (b) the expected average return over an infinite horizon. An extensive theory is available to treat the control problems in which either the time parameter or the state space is discrete. This dissertation extends the available theory to the general case of continuous time parameter and arbitrary state space. An application to the control of the arrival process in an M/G/1 queue is included. (Modified author abstract).

Markov Decision Processes

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Publisher : John Wiley & Sons
ISBN 13 : 1118625870
Total Pages : 544 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Markov Decision Processes by : Martin L. Puterman

Download or read book Markov Decision Processes written by Martin L. Puterman and published by John Wiley & Sons. This book was released on 2014-08-28 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "This text is unique in bringing together so many results hitherto found only in part in other texts and papers. . . . The text is fairly self-contained, inclusive of some basic mathematical results needed, and provides a rich diet of examples, applications, and exercises. The bibliographical material at the end of each chapter is excellent, not only from a historical perspective, but because it is valuable for researchers in acquiring a good perspective of the MDP research potential." —Zentralblatt fur Mathematik ". . . it is of great value to advanced-level students, researchers, and professional practitioners of this field to have now a complete volume (with more than 600 pages) devoted to this topic. . . . Markov Decision Processes: Discrete Stochastic Dynamic Programming represents an up-to-date, unified, and rigorous treatment of theoretical and computational aspects of discrete-time Markov decision processes." —Journal of the American Statistical Association

Stochastic Models in Operations Research: Stochastic optimization

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Publisher : Courier Corporation
ISBN 13 : 9780486432601
Total Pages : 580 pages
Book Rating : 4.4/5 (326 download)

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Book Synopsis Stochastic Models in Operations Research: Stochastic optimization by : Daniel P. Heyman

Download or read book Stochastic Models in Operations Research: Stochastic optimization written by Daniel P. Heyman and published by Courier Corporation. This book was released on 2004-01-01 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set of texts explores the central facts and ideas of stochastic processes, illustrating their use in models based on applied and theoretical investigations. They demonstrate the interdependence of three areas of study that usually receive separate treatments: stochastic processes, operating characteristics of stochastic systems, and stochastic optimization. Comprehensive in its scope, they emphasize the practical importance, intellectual stimulation, and mathematical elegance of stochastic models and are intended primarily as graduate-level texts.

Optimization, Control, and Applications of Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817683372
Total Pages : 331 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Optimization, Control, and Applications of Stochastic Systems by : Daniel Hernández-Hernández

Download or read book Optimization, Control, and Applications of Stochastic Systems written by Daniel Hernández-Hernández and published by Springer Science & Business Media. This book was released on 2012-08-15 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games.

Naval Research Logistics Quarterly

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ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Naval Research Logistics Quarterly by :

Download or read book Naval Research Logistics Quarterly written by and published by . This book was released on 1984 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Decision Processes with Continuous Time Parameter

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ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.:/5 (27 download)

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Book Synopsis Markov Decision Processes with Continuous Time Parameter by : F. A. van der Duyn Schouten

Download or read book Markov Decision Processes with Continuous Time Parameter written by F. A. van der Duyn Schouten and published by . This book was released on 1979 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1977 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Operations Research: Algorithms And Applications

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120339304
Total Pages : 801 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Operations Research: Algorithms And Applications by : Rathindra P. Sen

Download or read book Operations Research: Algorithms And Applications written by Rathindra P. Sen and published by PHI Learning Pvt. Ltd.. This book was released on 2010-01-30 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: It covers all the relevant topics along with the recent developments in the field. The book begins with an overview of operations research and then discusses the simplex method of optimization and duality concept along with the deterministic models such as post-optimality analysis, transportation and assignment models. While covering hybrid models of operations research, the book elaborates PERT (Programme Evaluation and Review Technique), CPM (Critical Path Method), dynamic programming, inventory control models, simulation techniques and their applications in mathematical modelling and computer programming. It explains the decision theory, game theory, queueing theory, sequencing models, replacement and reliability problems, information theory and Markov processes which are related to stochastic models. Finally, this well-organized book describes advanced deterministic models that include goal programming, integer programming and non-linear programming.

Foundations of Non-stationary Dynamic Programming with Discrete Time Parameter

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Publisher : Springer Science & Business Media
ISBN 13 : 3642462294
Total Pages : 171 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Foundations of Non-stationary Dynamic Programming with Discrete Time Parameter by : K. Hinderer

Download or read book Foundations of Non-stationary Dynamic Programming with Discrete Time Parameter written by K. Hinderer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is an extended version of a manuscript of a course which the author taught at the University of Hamburg during summer 1969. The main purpose has been to give a rigorous foundation of stochastic dynamic programming in a manner which makes the theory easily applicable to many different practical problems. We mention the following features which should serve our purpose. a) The theory is built up for non-stationary models, thus making it possible to treat e.g. dynamic programming under risk, dynamic programming under uncertainty, Markovian models, stationary models, and models with finite horizon from a unified point of view. b) We use that notion of optimality (p-optimality) which seems to be most appropriate for practical purposes. c) Since we restrict ourselves to the foundations, we did not include practical problems and ways to their numerical solution, but we give (cf.section 8) a number of problems which show the diversity of structures accessible to non stationary dynamic programming. The main sources were the papers of Blackwell (65), Strauch (66) and Maitra (68) on stationary models with general state and action spaces and the papers of Dynkin (65), Hinderer (67) and Sirjaev (67) on non-stationary models. A number of results should be new, whereas most theorems constitute extensions (usually from stationary models to non-stationary models) or analogues to known results.

Distributed Computer and Communication Networks

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Publisher : Springer Nature
ISBN 13 : 3030366146
Total Pages : 628 pages
Book Rating : 4.0/5 (33 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 2019-12-17 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Conference on Distributed and Computer and Communication Networks, DCCN 2019, held in Moscow, Russia, in September 2019. The 44 full papers and 2 short papers were carefully reviewed and selected from 174 submissions. The papers cover the following topics: Computer and Communication Networks, Analytical Modeling of Distributed Systems, and Distributed Systems Applications.

Control of Spatially Structured Random Processes and Random Fields with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 038731279X
Total Pages : 269 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Control of Spatially Structured Random Processes and Random Fields with Applications by : Ruslan K. Chornei

Download or read book Control of Spatially Structured Random Processes and Random Fields with Applications written by Ruslan K. Chornei and published by Springer Science & Business Media. This book was released on 2006-09-03 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study and optimization of spatiotemporal stochastic processes - processes which develop simultaneously in space and time under random influences. These processes are seen to occur almost everywhere when studying the global behavior of complex systems. The book presents problems and content not considered in other books on controlled Markov processes, especially regarding controlled Markov fields on graphs.

Reachability Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642242871
Total Pages : 255 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Reachability Problems by : Giorgio Delzanno

Download or read book Reachability Problems written by Giorgio Delzanno and published by Springer Science & Business Media. This book was released on 2011-09-19 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Workshop on Reachability Problems, RP 2011, held in Genoa, Italy, in September 2011. The 16 papers presented together with 4 invited talks were carefully reviewed and selected from 24 submissions. The workshop deals with reachability problems that appear in algebraic structures, computational models, hybrid systems, logic, and verification. Reachability is a fundamental problem that appears in several different contexts: finite- and infinite-state concurrent systems, computational models like cellular automata and Petri nets, decision procedures for classical, modal and temporal logic, program analysis, discrete and continuous systems, time critical systems, and open systems modelled as games.