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Optimal preventive and repair maintenance of a machine subject to failure
Author(s) -
Gaimon Cheryl,
Thompson Gerald L.
Publication year - 1984
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/oca.4660050105
Subject(s) - preventive maintenance , variable (mathematics) , control (management) , computer science , reliability engineering , risk analysis (engineering) , proactive maintenance , engineering , business , mathematics , artificial intelligence , mathematical analysis
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.