An optimal maintenance policy for a k-out-of-n system without monitoring component failures

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Abstract
In this study, an optimal maintenance policy is developed for a k-out-of-n: G system subject to two types of maintenance services, preventive maintenance and corrective maintenance. We investigate the optimal replacement age when a component failure is not detected immediately until a k-out-of-n: G system fails. The optimal maintenance policy is determined to minimize the expected total system cost when a generalized block replacement model is developed using downtime period. It is assumed that component failures are not monitored until a system failure, thus, a k-out-of-n: G system failure occurs. The downtime period of each failed component using order statistics for life time and age distributions for a k-out-of-n: G system is investigated. Numerical examples are discussed in order to demonstrate the applicability of the methodology derived from this paper.
Funding Information
  • Hongik University (2015 Hongik University Research Fund)
  • National Research Foundation of Korea (2017R1E1A1A03069903, NRF-2017R1E1A1A03069903)
  • Hongik University new faculty research support fund
  • Ministry of Science, ICT and Future Planning

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