Optimal (τ, T) opportunistic maintenance of a k‐out‐of‐n:G system with imperfect PM and partial failure

The opportunistic maintenance of a k‐out‐of‐n:G system with imperfect preventive maintenance (PM) is studied in this paper, where partial failure is allowed. In many applications, the optimal maintenance actions for one component often depend on the states of the other components and system reliability requirements. Two new (τ, T) opportunistic maintenance models with the consideration of reliability requirements are proposed. In these two models, only minimal repairs are performed on failed components before time τ and the corrective maintenance (CM) of all failed components are combined with PM of all functioning but deteriorated components after τ; if the system survives to time T without perfect maintenance, it will be subject to PM at time T. Considering maintenance time, asymptotic system cost rate and availability are derived. The results obtained generalize and unify some previous research in this area. Application to aircraft engine maintenance is presented. © 2000 John Wiley & Sons;, Inc. Naval Research Logistics 47: 223–239, 2000

[1]  Shey-Huei Sheu,et al.  Optimal replacement of a k-out-of-n system subject to shocks , 1992 .

[2]  P. K. Kapur,et al.  Some replacement policies with minimal repairs and repair cost limit , 1989 .

[3]  Shey-Huei Sheu A Generalized Block Replacement Policy with Minimal Repair and General Random Repair Costs for a Multi-unit System , 1991 .

[4]  Hoang Pham,et al.  OPTIMAL AGE-DEPENDENT PREVENTIVE MAINTENANCE POLICIES WITH IMPERFECT MAINTENANCE , 1996 .

[5]  O. Geoffrey Okogbaa,et al.  A HEURISTIC REPLACEMENT SCHEDULING APPROACH FOR MULTI-UNIT SYSTEMS WITH ECONOMIC DEPENDENCY , 1996 .

[6]  Philip J. Boland Periodic replacement when minimal repair costs vary with time , 1982 .

[7]  Shunji Osaki,et al.  A summary of optimum replacement policies for a parallel redundant system , 1988 .

[8]  R. Cléroux,et al.  Periodic replacement with minimal repair at failure and general cost function , 1975 .

[9]  Toshio Nakagawa Optimization Problems in k-out-of-n Systems , 1985, IEEE Transactions on Reliability.

[10]  Won Young Yun An age replacement policy with increasing minimal repair cost , 1989 .

[11]  Shunji Osaki,et al.  Optimum Policies for a Standby System with Preventive Maintenance , 1977 .

[12]  H. Pham,et al.  Invited reviewImperfect maintenance , 1996 .

[13]  Toshio Nakagawa,et al.  Optimum Policies When Preventive Maintenance is Imperfect , 1979, IEEE Transactions on Reliability.

[14]  Marvin Zelen,et al.  Mathematical Theory of Reliability , 1965 .

[15]  Frank Proschan,et al.  Periodic Replacement with Increasing Minimal Repair Costs at Failure , 1982, Oper. Res..

[16]  R. Barlow,et al.  Optimum Preventive Maintenance Policies , 1960 .

[17]  Xitong Zheng All opportunity-triggered replacement policy for multiple-unit systems , 1995 .

[18]  E. Muth An Optimal Decision Rule for Repair vs Replacement , 1977, IEEE Transactions on Reliability.