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＜E-Book＞
Markov Decision Processes with Their Applications / by Qiying Hu, Wuyi Yue
(Advances in Mechanics and Mathematics. ISSN:18769896 ; 14)

Edition	1st ed. 2008.
Publisher	(New York, NY : Springer US : Imprint: Springer)
Year	2008
Language	English
Size	XV, 297 p : online resource
Authors	*Hu, Qiying author Yue, Wuyi author SpringerLink (Online service)
Subjects	LCSH:Operations research LCSH:Management science LCSH:Probabilities LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Industrial engineering LCSH:Production engineering FREE:Operations Research, Management Science FREE:Probability Theory FREE:Calculus of Variations and Optimization FREE:Industrial and Production Engineering
Notes	Discretetimemarkovdecisionprocesses: Total Reward -- Discretetimemarkovdecisionprocesses: Average Criterion -- Continuous Time Markov Decision Processes -- Semi-Markov Decision Processes -- Markovdecisionprocessesinsemi-Markov Environments -- Optimal control of discrete event systems: I -- Optimal control of discrete event systems: II -- Optimal replacement under stochastic Environments -- Optimalal location in sequential online Auctions Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochastic circumstances. There are three basic branches in MDPs: discrete-time MDPs, continuous-time MDPs and semi-Markov decision processes. Starting from these three branches, many generalized MDPs models have been applied to various practical problems. These models include partially observable MDPs, adaptive MDPs, MDPs in stochastic environments, and MDPs with multiple objectives, constraints or imprecise parameters. Markov Decision Processes With Their Applications examines MDPs and their applications in the optimal control of discrete event systems (DESs), optimal replacement, and optimal allocations in sequential online auctions. The book presents four main topics that are used to study optimal control problems: *a new methodology for MDPs with discounted total reward criterion; *transformation of continuous-time MDPs and semi-Markov decision processes into a discrete-time MDPs model, thereby simplifying the application of MDPs; *MDPs in stochastic environments, which greatly extends the area where MDPs can be applied; *applications of MDPs in optimal control of discrete event systems, optimal replacement, and optimal allocation in sequential online auctions. This book is intended for researchers, mathematicians, advanced graduate students, and engineers who are interested in optimal control, operation research, communications, manufacturing, economics, and electronic commerce HTTP:URL=https://doi.org/10.1007/978-0-387-36951-8

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