Description: Discrete-Time Markov Control Processes : Basic Optimality Criteria, Hardcover by Hernandez-Lerma, Onesimo; Lasserre, Jean-Bernard, ISBN 0387945792, ISBN-13 9780387945798, Like New Used, Free shipping in the US 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.
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Book Title: Discrete-Time Markov Control Processes : Basic Optimality Criteri
Number of Pages: Xiv, 216 Pages
Publication Name: Discrete-Time Markov Control Processes : Basic Optimality Criteria
Language: English
Publisher: Springer New York
Subject: Signals & Signal Processing, Probability & Statistics / Stochastic Processes, Probability & Statistics / General, General, Applied
Item Height: 0.3 in
Publication Year: 1995
Item Weight: 39.9 Oz
Type: Textbook
Subject Area: Mathematics, Technology & Engineering
Author: Jean B. Lasserre, Onésimo Hernández-Lerma
Item Length: 9.3 in
Series: Stochastic Modelling and Applied Probability Ser.
Item Width: 6.1 in
Format: Hardcover
