Discrete-Time Markov Control Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete-Time Markov Control Processes write by Onesimo Hernandez-Lerma. This book was released on 2012-12-06. Discrete-Time Markov Control Processes available in PDF, EPUB and Kindle. This book presents the first part of a planned two-volume series devoted to a systematic exposition of some recent developments in the theory of discrete-time Markov control processes (MCPs). Interest is mainly confined to MCPs with Borel state and control (or action) spaces, and possibly unbounded costs and noncompact control constraint sets. MCPs are a class of stochastic control problems, also known as Markov decision processes, controlled Markov processes, or stochastic dynamic pro grams; sometimes, particularly when the state space is a countable set, they are also called Markov decision (or controlled Markov) chains. Regardless of the name used, MCPs appear in many fields, for example, engineering, economics, operations research, statistics, renewable and nonrenewable re source management, (control of) epidemics, etc. However, most of the lit erature (say, at least 90%) is concentrated on MCPs for which (a) the state space is a countable set, and/or (b) the costs-per-stage are bounded, and/or (c) the control constraint sets are compact. But curiously enough, the most widely used control model in engineering and economics--namely the LQ (Linear system/Quadratic cost) model-satisfies none of these conditions. Moreover, when dealing with "partially observable" systems) a standard approach is to transform them into equivalent "completely observable" sys tems in a larger state space (in fact, a space of probability measures), which is uncountable even if the original state process is finite-valued.
Discrete-time Markov Control Processes with Discounted Unbounded Costs: Optimality Criteria
Discrete-time Markov Control Processes with Discounted Unbounded Costs: Optimality Criteria - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete-time Markov Control Processes with Discounted Unbounded Costs: Optimality Criteria write by O. Hernandez-Lerma. This book was released on 1990. Discrete-time Markov Control Processes with Discounted Unbounded Costs: Optimality Criteria available in PDF, EPUB and Kindle.
Continuous-Time Markov Decision Processes
Continuous-Time Markov Decision Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Continuous-Time Markov Decision Processes write by Xianping Guo. This book was released on 2009-09-18. Continuous-Time Markov Decision Processes available in PDF, EPUB and Kindle. 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.
Selected Topics on Continuous-time Controlled Markov Chains and Markov Games
Selected Topics on Continuous-time Controlled Markov Chains and Markov Games - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Selected Topics on Continuous-time Controlled Markov Chains and Markov Games write by Tomás Prieto-Rumeau. This book was released on 2012. Selected Topics on Continuous-time Controlled Markov Chains and Markov Games available in PDF, EPUB and Kindle. 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 Decision Processes with Their Applications
Markov Decision Processes with Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Markov Decision Processes with Their Applications write by Qiying Hu. This book was released on 2007-09-14. Markov Decision Processes with Their Applications available in PDF, EPUB and Kindle. Put together by two top researchers in the Far East, this text examines Markov Decision Processes - also called stochastic dynamic programming - and their applications in the optimal control of discrete event systems, optimal replacement, and optimal allocations in sequential online auctions. This dynamic new book offers fresh applications of MDPs in areas such as the control of discrete event systems and the optimal allocations in sequential online auctions.
