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Optimal control theory = application...
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Sethi, Suresh P.
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Optimal control theory = applications to management science and economics /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Optimal control theory/ by Suresh P. Sethi.
其他題名:
applications to management science and economics /
作者:
Sethi, Suresh P.
出版者:
Cham :Springer International Publishing : : 2021.,
面頁冊數:
xxvii, 506 p. :ill. (some col.), digital ;24 cm.
內容註:
1. What is Optimal Control Theory? -- 2. The Maximum Principle: Continuous Time -- 3. The Maximum Principle: Mixed Inequality Constraints -- 4. The Maximum Principle: Pure State and Mixed Inequality Constraints -- 5. Applications to Finance -- 6. Applications to Production and Inventory -- 7. Applications to Marketing -- 8. The Maximum Principle: Discrete Time -- 9. Maintenance and Replacement -- 10. Applications to Natural Resources -- 11. Applications to Economics -- 12. Stochastic Optimal Control -- 13. Differential Games.
Contained By:
Springer Nature eBook
標題:
Management - Mathematical models. -
電子資源:
https://doi.org/10.1007/978-3-030-91745-6
ISBN:
9783030917456
Optimal control theory = applications to management science and economics /
Sethi, Suresh P.
Optimal control theory
applications to management science and economics /[electronic resource] :by Suresh P. Sethi. - Fourth edition. - Cham :Springer International Publishing :2021. - xxvii, 506 p. :ill. (some col.), digital ;24 cm. - Springer texts in business and economics,2192-4341. - Springer texts in business and economics..
1. What is Optimal Control Theory? -- 2. The Maximum Principle: Continuous Time -- 3. The Maximum Principle: Mixed Inequality Constraints -- 4. The Maximum Principle: Pure State and Mixed Inequality Constraints -- 5. Applications to Finance -- 6. Applications to Production and Inventory -- 7. Applications to Marketing -- 8. The Maximum Principle: Discrete Time -- 9. Maintenance and Replacement -- 10. Applications to Natural Resources -- 11. Applications to Economics -- 12. Stochastic Optimal Control -- 13. Differential Games.
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.
ISBN: 9783030917456
Standard No.: 10.1007/978-3-030-91745-6doiSubjects--Topical Terms:
645912
Management
--Mathematical models.
LC Class. No.: HD30.25 / .S48 2021
Dewey Class. No.: 658.4033
Optimal control theory = applications to management science and economics /
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