Management science applications frequently involve problems of controlling continuous time dynamic systems, that is, systems which evolve over time. Optimal control theory, a relatively new branch of mathematics, determines the optimal way to control such a dynamic system. The purpose of this...

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...