Optimal Control Theory
Applications to Management Science and Economics
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Beschreibung
This new 4th edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It introduces students to the concept of the maximum principle in continuous (as well as discrete) time by combining dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations encountered in business and economics. It applies optimal control theory to the functional areas of management including finance, production and marketing, as well as the economics of growth and of natural resources. In addition, it features material on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework.
Exercises are included in each chapter, while the answers to selected exercises help deepen readers’ understanding of the material covered. Also included are appendices of supplementary material on the solution of differential equations, the calculus of variations and its ties to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems.
Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as the foundation for the book, in which the author applies it to business management problems developed from his own research and classroom instruction. The new edition has been refined and updated, making it a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers interested in applying dynamic optimization in their fields.
Presents optimal controls with management science applications that models realistic situations Contains end of chapter exercises and numerous worked-out examples with answers to selected exercises An instructor manual containing solutions of the end of chapter exercises is available online
Autor*in
Suresh P. Sethi
Themen in »Optimal Control Theory«
Stochastic Optimal Control Maximum Principle Optimal Financing Production-Inventory Systems Epidemic Control Distributed Parameter Systems Impulse Control Dynamic Programming Mathematical Programming Kuhn-Tucker Conditions Applied Mathematics Game Theory Sethi-Skiba Points Kalman Filter Calculus of Variations
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“The book is primarily addressed to students and researchers in management science, operations research, and economics. … the book contains enough mathematical tools to solve plenty of practical problems in management science and economics.” (Gheorghe Moroșanu, zbMATH 1487.49001, 2022)
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