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.
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`Like the first edition, Sethi and Thompson's revised textbook
advances the state of the art of operations research and management
science on multiple dimensions. The authors provide a rigorous
treatment of a powerful methodology. They demonstrate the deep
managerial insights to be obtained in a variety of management and
economics domains. The book facilitates learning in the classroom
and encourages readers' creativity. The clarity in exposition makes
the book accessible to diverse readers, including mathematicians
interested in learning about applications and researchers in
various application domains interested in developing new managerial
results.
This is a very good textbook for subjects on optimal controls with
management science applications. I have adopted this as a textbook
and the students love it. Illustrative figures and diagrams are
sufficiently provided, and materials are carefully explained. The
use of the commonly available Excel program to solve TPBVPs at the
end of chapter 2 is suitable for the ever increasing demand of
"multimedia teaching". I have not seen any other optimal control
textbook include such a set of Excel instructions in such a simple
and elegant way. Moreover, the authors made a set of
chapter-by-chapter Power Point files available on the web to
supplement the textbook for classroom teaching. I'd give 5 stars to
this book anytime.'
Joseph Lee, Hong Kong Polytechnic University
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