Optimization and Multiobjective Control of Time-Discrete Systems: Dynamic Networks and Multilayered Structures - Softcover
Inhaltsangabe
Richard Bellmann developed a theory of dynamic programming which is for many reasons still in the center of great interest. The authors present a new approach in the ?eld of the optimization and multi-objective control of time-discrete systems which is closely related to the work of Richard Bellmann. They develop their own concept and their extension to the optimization and multi-objective control of time-discrete systems as well as to dynamic networks and multilayered structures are very stimulating for further research. Di?erent perspectives of discrete control and optimal dynamic ?ow problems on networks are treated and characterized. Together with the algorithmic solutions a framework of multi-objective control problems is - rived. The conclusion with a real world example underlines the necessity and - portance of their theoretic framework. As they come back to the classical Bellmann concept of dynamic programming they stress and honor his basic concept without debase their own work. Multilayereddecisionprocessesaspartofthedesignandanalysisofcomplexsystems and networks will be essential in many ways and ?elds in the future.
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Über die Autorin bzw. den Autor
Prof. Dmitrii Lozovanu is head of the department of Applied Mathematics at the Faculty of Mathematics and Computer Science, Moldova State University, Chisinau, Moldova. His main research interests are in discrete optimization, game theory, optimal control and stochastic decision-making processes. ¿Prof. Stefan Pickl is a Professor of Operations Research at Bundeswehr University Munich, Germany. He studied mathematics, electrical engineering, and philosophy at the TU Darmstadt, Germany and EPFL Lausanne, Switzerland. He is also associated with the Centre for the Advanced Study of Algorithms (CASA), USA and Center for Network Innovation and Experimentation (CENETIX), USA.
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The study of discrete structures and networks becomes more and more important in decision theory. A relevant topic in modern control theory reflecting this fact is concerned with multiobjective control problems and dynamical games. The monograph presents recent developments and applications in the field of multiobjective control of time-discrete systems with a finite set of states. The dynamics of such systems is described by a directed graph in which each vertex corresponds to a dynamic state and the edges correspond to transitions of the system moving from one state to another. This characterization allows us to formulate the considered control models on special dynamic networks. Suitable algorithms are derived exploiting multilayered structures. Game theoretical properties are characterized. A multilayered game on a network can be used to model a certain trading procedure of emission certificates within Kyoto process. Optimal economic behavior and equilibria can be determined.
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Optimization and Multiobjective Control of Time-Discrete Systems: Dynamic Networks and Multilayered Structures
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Optimization and Multiobjective Control of Time-Discrete Systems : Dynamic Networks and Multilayered Structures
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Richard Bellmann developed a theory of dynamic programming which is for many reasons still in the center of great interest. The authors present a new approach in the eld of the optimization and multi-objective control of time-discrete systems which is closely related to the work of Richard Bellmann. They develop their own concept and their extension to the optimization and multi-objective control of time-discrete systems as well as to dynamic networks and multilayered structures are very stimulating for further research. Di erent perspectives of discrete control and optimal dynamic ow problems on networks are treated and characterized. Together with the algorithmic solutions a framework of multi-objective control problems is - rived. The conclusion with a real world example underlines the necessity and - portance of their theoretic framework. As they come back to the classical Bellmann concept of dynamic programming they stress and honor his basic concept without debase their own work. Multilayereddecisionprocessesaspartofthedesignandanalysisofcomplexsystems and networks will be essential in many ways and elds in the future. Artikel-Nr. 9783642098680
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