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Dynamic programming and stochastic control by Dimitri P. Bertsekas

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Published by Academic Press in New York .
Written in English

Subjects:

  • Dynamic programming.,
  • Stochastic control theory.

Book details:

Edition Notes

StatementDimitri P. Bertsekas.
SeriesMathematics in science and engineering ;, v. 125
Classifications
LC ClassificationsT57.83 .B48
The Physical Object
Paginationxv, 397 p. :
Number of Pages397
ID Numbers
Open LibraryOL4885918M
ISBN 100120932504
LC Control Number76016143

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Markov Decision Processes: Discrete Stochastic Dynamic Programming represents an up-to-date, unified, and rigorous treatment of theoretical and computational aspects of discrete-time Markov decision processes." ―Journal of the American Statistical AssociationCited by: Originally introduced by Richard E. Bellman in (Bellman ), stochastic dynamic programming is a technique for modelling and solving problems of decision making under larep-immo.comy related to stochastic programming and dynamic programming, stochastic dynamic programming represents the problem under scrutiny in the form of a Bellman equation. Click here to download lecture slides for the MIT course "Dynamic Programming and Stochastic Control (), Dec. The last six lectures cover a lot of the approximate dynamic programming material. Click here to download research papers and other material on Dynamic Programming and Approximate Dynamic Programming. The main topic of this book is optimization problems involving uncertain parameters, for which stochastic models are available. Although many ways have been proposed to model uncertain quantities, stochastic models have proved their flexibility and usefulness in diverse areas of science. This is mainly due to solid mathematical foundations and.

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The course covers the basic models and solution techniques for problems of sequential decision making under uncertainty (stochastic control). We will consider optimal control of a dynamical system over both a finite and an infinite number of stages. This includes systems with finite or infinite state spaces, as well as perfectly or imperfectly observed systems. We will also discuss. stochastic control and optimal stopping problems. The remaining part of the lectures focus on the more recent literature on stochastic control, namely stochastic target problems. These problems are moti-vated by the superhedging problem in nancial mathematics. . Multistage stochastic programming Dynamic Programming Practical aspectsDiscussion Contents 1 Multistage stochastic programming From two-stage to multistage programming Compressing information inside a state 2 Dynamic Programming Stochastic optimal control problem Dynamic Programming principle 3 Practical aspects Curses of dimensionality Markov. This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control larep-immo.com we consider completely observable control problems with finite horizons. Using a time discretization we construct a.