Optimal Control Theory

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

Autorentext

Suresh P. Sethi is the Eugene McDermott Chair Professor of Operations Management and Director of the Center for Intelligent Supply Networks (C4ISN) at the University of Texas at Dallas, USA. He has made significant contributions in the fields of manufacturing and operations management, finance and economics, marketing, industrial engineering, operations research, and optimal control. He is best known for his textbook on optimal control, developments of the Sethi advertising model and Sethi-Skiba points, pioneering works on stochastic inventory models especially with incomplete information, and seminal papers on consumption-investment problems with bankruptcy.

He has received numerous prestigious honors and awards such as IEEE Fellow, INFORMS Fellow, SIAM Fellow, POMS Fellow, AAAS Fellow, IITB Distinguished Alum, Tepper School of Business-Alumni Achievement Award, and POMS President (2012). Two conferences have been organized in his honor: in Aix en Provence in 2005 and at the UT Dallas in 2006 with Harry M. Markowitz, a 1990 Nobel Laureate in Economics, as the keynote speaker. Also, two books have been edited in his honor.

His past and present editorial positions include Departmental Editor of Production and Operations Management , Corresponding Editor of SIAM Journal on Control and Optimization , and Associate Editor of Operations Research, M&SOM , and Automatica .

Zusammenfassung

Inhalt

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.