Nonperiodic preventive maintenance for repairable systems

Abstract

As a complex system with multiple components usually deteriorates with age, preventive maintenance (PM) is often performed to keep the system functioning in a good state to prolong its effective age. In this study, a nonhomogeneous Poisson process with a power law failure intensity is used to describe the deterioration of a repairable system, and the optimal nonperiodic PM schedule can be determined to minimize the expected total cost per unit time. However, since the determination of such optimal PM policies may involve numerous uncertainties, which typically make the analyses difficult to perform because of the scarcity of data, a Bayesian decision model, which utilizes all available information effectively, is also proposed for determining the optimal PM strategies. A numerical example with a real failure data set is used to illustrate the effectiveness of the proposed approach. The results show that the optimal schedules derived by Bayesian approach are relatively more conservative than that for non-Bayesian approach because of the uncertainty of the intensity function, and if the intensity function are updated using the collected data set, which indicates more severe deterioration than the prior belief, replacing the entire system instead of frequent PM activities before serious deterioration is suggested.

Optimization of equal-cycle maintenance strategy considering imperfect preventive maintenance

“…It has been proved that (1 + x) β + x β increases monotonically with the increase of x in (0, + ∞). Therefore, equation ( 17) can be further scaled to obtain equation (18):…”

“…Theoretically, condition-based preventive maintenance uses more advanced technical means to get a more ideal maintenance effect. 17,18 However, high cost and high technical requirements hinder the popularization of its application. 19 Time-based preventive maintenance 5,8,18,[20][21][22][23][24][25][26] repairs repairable equipment at the scheduled maintenance time according to the failure rules of the equipment.…”

Dynamic maintenance policy for systems with repairable components subject to mutually dependent competing failure processes

“…Wang and Zhang [30] developed an algorithm to find the optimal maintenance inspection plan for a repairable system. Lin and Huang [31] proposed a preventive maintenance policy for a repairable system considering a nonhomogeneous Poisson process with a power law failure intensity to describe the system deterioration. In previous research, a repairable system was generally considered to be packaged and sealed together, and the whole system was repaired or replaced upon failure.…”

Determining Optimal Replacement Policy with an Availability Constraint via Genetic Algorithms

“…Castanier et al [15] proposed a parametric maintenance decision framework to coordinate inspection and replacement of the two components and to minimize the long-run maintenance cost of the system. Lin and Huang [16] used a nonhomogeneous Poisson process with a power law failure intensity to describe the deterioration of a repairable system and to minimize the expected total cost per unit time to determine the optimal nonperiodic maintenance schedule. As we all know, the goal of the maintenance decision is not only to minimize costs.…”