Optimization and Multiobjective Control of Time-Discrete Systems

1. Front Matter

   Pages 1-13

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2. Multi-Objective Control of Time-Discrete Systems and Dynamic Games on Networks

   • Dmitrii Lozovanu, Stefan Pickl

   Pages 1-79

3. Max-Min Control Problems and Solving Zero-Sum Games on Networks

   • Dmitrii Lozovanu, Stefan Pickl

   Pages 1-43

4. Extension and Generalization of Discrete Control Problems and Algorithmic Approaches for its Solving

   • Dmitrii Lozovanu, Stefan Pickl

   Pages 1-55

5. Discrete Control and Optimal Dynamic Flow Problems on Networks

   • Dmitrii Lozovanu, Stefan Pickl

   Pages 1-52

6. Applications and Related Topics

   • Dmitrii Lozovanu, Stefan Pickl

   Pages 1-42

7. Back Matter

   Pages 1-10

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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.

• Dynamical Games
• Multiobjective Control
• Network
• Transit
• algorithms
• control
• control theory
• decision theory
• optimization
• quality control, reliability, safety and risk

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