Control of Spatially Structured Random Processes and Random Fields with Applications

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Nonconvex Optimization and Its Applications 86

ISBN: 1489992448
ISBN 13: 9781489992444
Autor: Chornei, Ruslan K/Daduna, Hans/Knopov, Pavel S
Verlag: Springer Verlag GmbH
Umfang: xiv, 262 S.
Erscheinungsdatum: 06.12.2014
Auflage: 1/2014
Produktform: Kartoniert
Einband: KT

This book is devoted to the study and optimization of spatiotemporal stochastic processes, that is, processes which develop simultaneously in space and time under random influences. These processes are seen to occur almost everywhere when studying the global behavior of complex systems, including physical and technical systems, population dynamics, neural networks, computer and telecommunication networks, complex production networks, flexible manufacturing systems, logistic networks and transportation systems, environmental engineering, climate modelling and prediction, earth surface models. Classical stochastic dynamic optimization forms the framework of the book. Taken as a whole, the project undertaken in the book is to establish optimality or near-optimality for Markovian policies in the control of spatiotemporal Markovian processes. The authors apply this general principle to different frameworks of Markovian systems and processes. Depending on the structure of the systems and the surroundings of the model classes the authors arrive at different levels of simplicity for the policy classes which encompass optimal or nearly optimal policies. A set of examples accompanies the theoretical findings, and these examples should demonstrate some important application areas for the theorems discussed. Audience This book is intended for experts in applied mathematics, cybernetics, and in the theory of optimal control.

Artikelnummer: 7807156 Kategorie:

Beschreibung

This book is devoted to the study and optimization of spatiotemporal stochastic processes - processes which develop simultaneously in space and time under random influences. These processes are seen to occur almost everywhere when studying the global behavior of complex systems. The book presents problems and content not considered in other books on controlled Markov processes, especially regarding controlled Markov fields on graphs.

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