Abstract
We develop a matrix algebra approach for optimizing condition-based maintenance with a planning time for gradually deteriorating, continuously monitored equipment. This avoids the calculation times of simulation and the approximations of more direct approaches. We consider a model in which maintenance after failure should be planned as well, resulting in downtime, and a model with emergency repairs upon failure. Numerical examples are provided to compare the optimal policies of the two models and their performances under different parameter settings.
Highlights
Industrial equipment is subject to deterioration because of usage and exposure to the environment
The resulting flow of information can be used to carry out maintenance based on the actual state of equipment; this type of maintenance is called condition-based maintenance (CBM)
The matrix algebra approach proposed in this paper may be used more broadly in the area of maintenance optimization, leading to a number of suggestions for future research
Summary
Industrial equipment is subject to deterioration because of usage and exposure to the environment. Studies that do consider such a setting assume that preventive maintenance is scheduled when a deterioration threshold is exceeded, and that preventive maintenance is carried out after a fixed planning time. An immediate emergency repair is assumed to be carried out when failure occurs before the end of the planning time. Whereas the above mentioned studies on maintenance optimization for a continuously monitored gradually deteriorating unit either use simulation or an approximated model, we point out how matrix algebra can be used to determine the optimal deterioration threshold for planning preventive maintenance. Because we are the first to analyze condition-based maintenance with a planning time by using matrix algebra, we consider two relatively simple settings. Inspired by the aforementioned studies, we consider both the policy for which corrective maintenance requires a planning time, and the policy with an emergency repair upon failure.
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