Optimization in a Complex World

1. st Auflage. 2013
ISBN: 978-0-387-88665-7
Verlag: Springer-Verlag New York

Buch, Englisch, Band 799, 325 Seiten, GB, Format (B × H): 155 mm x 235 mm

Reihe: Springer Optimization and Its Applications

Existing concepts of complexity provide useful classifications, but have not resulted in laws of complex systems as much as the concept of energy. At the same time, it is still believed that understanding of complexity may provide the ability to optimize a complex system efficiently. As complex systems play an increasingly important role in human activities, the solution of the problem becomes a critical issue.
The book suggests a new perspective to the problem by recognizing the possibility of a general optimality condition that determines the optimal performance of a complex system. According to the condition a complex system demonstrates the optimal performance, if its complexity is in a certain relationship with the complexity of the environment. In this context the complexity would become the key to the optimization of the system.

Zielgruppe

Research

Autoren/Hrsg.

Korotkikh, Victor

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface.- 1. Correlations Conserving Quantities of a Complex System and Self-Organization Processes of Prime Integer Relations.- 2. Properties of Irreducible Description of Complex Systems in terms of Self-Organization Processes of Prime Integer Relations.- 3. Towards General Optimality Condition of Complex Systems.- 4. The Optimality Condition of Complex Systems and the Development of Innovative Technologies.- 5. Conclusions and Future Work.- Index