Premium
Optimal control of a production system with periodic maintenance
Author(s) -
Krämer FranzJosef,
Bai Sherman X.
Publication year - 1996
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199610/12)17:4<281::aid-oca577>3.0.co;2-8
Subject(s) - production (economics) , constant (computer programming) , pontryagin's minimum principle , optimal control , production cycle , control (management) , shut down , computer science , control theory (sociology) , mathematical optimization , mathematics , engineering , economics , manufacturing engineering , operating system , artificial intelligence , programming language , macroeconomics
In this paper we consider a production system consisting of one machine for which maintenance is performed on a periodic basis. When the machine is undergoing maintenance, the system is shut down and cannot produce. One part‐type is produced and the demand rate is assumed to be constant. In order to make on‐time delivery, the objective is to produce following the demand as closely as possible. However, the maintenance disruptions make the production deviate from the demand. We formulate the production flow control problem as an optimal control model and use Pontryagin's minimum principle to solve the special case of one up‐down cycle. We then solve the general N ‐cycle problem based on the one‐cycle solution.