We propose a maintenance decision framework where the state of the system is based on a percentage of total degrada-tionand the rate of change of the degradation. At each decision interval, the degradation percentage may be observedperfectly as well as the rate of change with respect to the last observation. We consider five possible actions based onthese two observable phenomenon: Do nothing, three imperfect maintenance actions, and a complete renewal. Priorimperfect maintenance models do not consider a scenario where imperfect maintenance not only restores the systemto a state less than “as good as new” but also under a new deterioration law. In this case, it is necessary to considerthat the rate of degradation after imperfect maintenance will be altered based on the action performed and the state ofthe system prior to the maintenance. We propose to develop an imperfect maintenance optimization model based ona Markov decision process framework to determine the optimal maintenance actions given the state of the system ateach decision interval and motivate the problem through road maintenance.
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