Continuous-time Markov decision processes : Borel space models and general control strategies /

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Bibliographic Details
Author / Creator:Piunovskiy, A. B., author.
Imprint:Cham : Springer, [2020]
Description:1 online resource (xxiv, 583 pages) : illustrations (some color).
Series:Probability theory and stochastic modelling, 2199-3130 ; volume 97
Probability theory and stochastic modelling ; v. 97.
Subject:Markov processes.
System theory.
Mathematical optimization.
Markov processes.
Mathematical optimization.
System theory.
Electronic books.
Electronic books.
Format: E-Resource Book
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Other authors / contributors:Zhang, Yi, author.
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed January 26, 2021).
Summary: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. .
Other form:Printed edition: 9783030549862
Printed edition: 9783030549886
Printed edition: 9783030549893
Standard no.:10.1007/978-3-030-54987-9