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...

We consider a production-inventory planning problem with time-varying demands, convex production costs and a warehouse capacity constraint. It is solved by use of the Lagrangian form of the maximum principle. The possible existence of strong decision and forecast horizons is demonstrated. When...

1. An Introduction to Redundancy -- 1.1 Redundancy -- 1.2 Causes of Redundancy -- 1.3 Consequences of Redundancy -- 1.4 Dealing with Redundancy -- 1.5 A Survey of the Literature -- 1.6 Objective and Plan of the Study -- 2. Mathematical Foundations and Notation -- 2.1 Notation -- 2.2 Terminology...