Optimal Control Theory

Applications to Management Science and Economics
2. Auflage 2000. 2. printing 2005
ISBN: 978-0-387-28092-9
Verlag: Springer-Verlag New York Inc.

Buch, Englisch, 506 Seiten, Book, Format (B × H): 152 mm x 235 mm, Gewicht: 1600 g

Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction.Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Sethi, Suresh P.

Thompson, Gerald L.

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Wirtschaftswissenschaften Betriebswirtschaft Management Unternehmensführung
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Wirtschaftswissenschaften Betriebswirtschaft Bereichsspezifisches Management Produktionsmanagement, Qualitätskontrolle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface to First Edition.- Preface to Second Edition.- What is Optimal Control Theory?.- The Maximum Principle: Continuous Time.- The Maximum Principle: Mixed Inequality Constraints.- The Maximum Principle: General Inequality Constraints.- Applications to Finance.- Applications to Production and Inventory.- Applications to Marketing.- The Maximum Principle: Discrete Time.- Maintenance and Replacement.- Applications to Natural Resources.- Economic Applications.- Differential Games, Distributed Systems, and Impulse Control.- Stochastic Optimal Control.- Solutions of Linear Differential Equations.- Calculus of Variations and Optimal Control Theory.- An Alternative Derivation of the Maximum Principle.- Special Topics in Optimal Control.- Answers to Selected Exercises.- Bibliography.- Index.- List of Figures.- List of Tables.