ON THE APPLICATION OF THE THEORY OF MAXIMUM PRINCIPLE TO A PRODUCTION CONTROL PROBLEM.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0657430
Entities
People
- R. Jagannathan
Organizations
- Carnegie Institute of Technology