ON THE APPLICATION OF THE THEORY OF MAXIMUM PRINCIPLE TO A PRODUCTION CONTROL PROBLEM.
CARNEGIE INST OF TECH PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP
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The purpose of this paper is to solve a simple production control problem using the maximum principle theory as put forward by L. S. Pontryagin and his students. In the first section entitled Introduction, a brief description of maximum principle theory as relevant to our purpose is given. In the second section the production scheduling problem under probabilistic demand which occurs periodically is developed. The problem is a fairly realistic one resulting in a somewhat complicated analysis. In the final section the possibilities of relaxation of some of the underlying assumptions are indicated. Author
- Operations Research
- Manufacturing and Industrial Engineering and Control of Production Systems