Continuous-time Markov decision processes : Borel space models and general control strategies / Alexey Piunovskiy, Yi Zhang ; foreword by 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. Unlike most books on the subject, much attention is paid to problems with functional constra...

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Bibliographic Details
Main Authors: Piunovskiy, A. B. (Author), Zhang, Yi (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2020]
Series:Probability theory and stochastic modelling ; v. 97.
Subjects:
Online Access:Click for online access
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.