Description: Continuous-Time Markov Decision Processes by Alexey Piunovskiy, Yi Zhang, Albert Nikolaevich Shiryaev 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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. Author Biography Alexey Piunovskiy was born in Moscow, USSR, in 1954. He obtained his PhD in 1981 from the Moscow State Institute of Electronics and Mathematics, and his DSc from the Moscow State Institute of Physics and Technology in 2000. Since then he has been at the University of Liverpool, where he is presently a Reader. His research interests include stochastic optimal control and constrained optimization. Yi Zhang was born in Qingdao, PRC, in 1985. He obtained his PhD in 2010 from the Department of Mathematical Sciences at the University of Liverpool, where he is currently a Lecturer. His research interests include stochastic models in operational research, Markov decision processes and their applications to problems in statistics and optimal control. Table of Contents Foreword.- Preface.- Description of CTMDPs and Preliminaries.- Selected Properties of Controlled Processes.- The Discounted Cost Model.- Reduction to DTMDP: The Total Cost Model.- The Average Cost Model.- The Total Cost Model: General Case.- Gradual-Impulsive Control Models.- Appendices: Miscellaneous Results.-Relevant Definitions and Facts.- Definitions and Facts about Discrete-Time Markov Decision Processes.- Bibliography.- Index.- Notation. Review "This book is a complete treatise on continuous-time Markov decision processes (CTMDPs) on Borel spaces … . The theory presented is developed in a careful and detailed form. Moreover, several examples and applications are given. Therefore, the book is interesting from both the theoretical and applied points of view. … It is important to mention that at the end of each chapter, bibliographical remarks are supplied which complement and clarify the information given in it." (RaÚl Montes-de-Oca, Mathematical Reviews, April, 2022) Review Quote "This book is a complete treatise on continuous-time Markov decision processes (CTMDPs) on Borel spaces ... . The theory presented is developed in a careful and detailed form. Moreover, several examples and applications are given. Therefore, the book is interesting from both the theoretical and applied points of view. ... It is important to mention that at the end of each chapter, bibliographical remarks are supplied which complement and clarify the information given in it." (Ra Feature Features a detailed treatment of constrained problems Covers exponential semi-Markov decision processes Includes various unpublished results and illustrates the theory with new solved examples Introduces new and broad classes of strategies Details ISBN3030549860 Author Albert Nikolaevich Shiryaev Short Title Continuous-Time Markov Decision Processes Series Probability Theory and Stochastic Modelling Language English Year 2020 ISBN-10 3030549860 ISBN-13 9783030549862 Format Hardcover Subtitle Borel Space Models and General Control Strategies Series Number 97 DOI 10.1007/978-3-030-54987-9 Pages 583 Publication Date 2020-11-10 Publisher Springer Nature Switzerland AG Edition 1st Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Illustrations 3 Illustrations, color; 7 Illustrations, black and white; XXIV, 583 p. 10 illus., 3 illus. in color. UK Release Date 2020-11-10 Narrator Nitin Ganatra Edited by Leslie Swartz Birth 1927 Death 1973 Affiliation Massachusetts Institute of Technology Position journalist Qualifications S. J. Edition Description 1st ed. 2020 Alternative 9783030549893 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:133942022;
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ISBN-13: 9783030549862
Book Title: Continuous-Time Markov Decision Processes
Number of Pages: 583 Pages
Language: English
Publication Name: Continuous-Time Markov Decision Processes: Borel Space Models and General Control Strategies
Publisher: Springer Nature Switzerland Ag
Publication Year: 2020
Subject: Computer Science, Mathematics
Item Height: 235 mm
Item Weight: 1069 g
Type: Textbook
Author: Alexey Piunovskiy, Yi Zhang
Item Width: 155 mm
Format: Hardcover
