Accession Number : AD0657430

Title :   ON THE APPLICATION OF THE THEORY OF MAXIMUM PRINCIPLE TO A PRODUCTION CONTROL PROBLEM.

Descriptive Note : Research rept.,

Corporate Author : CARNEGIE INST OF TECH PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP

Personal Author(s) : Jagannathan,R.

Report Date : AUG 1967

Pagination or Media Count : 14

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)

Descriptors :   (*PRODUCTION CONTROL, OPERATIONS RESEARCH), SCHEDULING, OPTIMIZATION, MANAGEMENT PLANNING AND CONTROL, COSTS, INVENTORY CONTROL

Subject Categories : Operations Research
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE