| Optimization and Multiobjective Control of Time-Discrete Systems: Dynamic Networks and Multilayered Structures 2009 Edition Contributor(s): Lozovanu, Dmitrii (Author) |
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ISBN: 3540850244 ISBN-13: 9783540850243 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: March 2009 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Technology & Engineering | Industrial Engineering - Business & Economics | Operations Research |
| Dewey: 003.83 |
| LCCN: 20089427116 |
| Physical Information: 0.69" H x 6.14" W x 9.21" (1.33 lbs) 304 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |