Optimal preventive and repair maintenance of a machine subject to failure

✍ Scribed by Cheryl Gaimon; Gerald L. Thompson

• Publisher: John Wiley and Sons
• Year: 1984
• Tongue: English
• Weight: 588 KB
• Volume: 5
• Category: Article
• ISSN: 0143-2087
• DOI: 10.1002/oca.4660050105

✦ Synopsis

Machine maintenance policies comprise two important activities: (a) the performance of preventive maintenance to prevent or postpone future breakdowns; and (b) the decision once a breakdown has actually occurred either to repair or to junk the machine. In this paper we study a control-theoretic model in which both of these activities are decision variables. The optimal preventive maintenance policy is determined as an ordinary control variable, whereas the breakdown-repair policy is determined as an impulsive control variable. A real-time iterative procedure is presented for making the repair-or-junk decision at the time of each actual breakdown. Various theoretical results are presented which connect the preventive and breakdown-repair policies. KEY WORDS Optimal preventive maintenance policies Optimal breakdown-repair policies Machine maintenance control Impulsive optimal control * This report was prepared as part of the activities of the Management Sciences Research Group, Carnegie-Mellon University, under Contract No. N00014-79-CO340 with the U S . Office of Naval Research. Reproduction in whole or in part is permitted for any purpose of the US. Government.