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

References

• Babishin, V., & Taghipour, S. (2016). Joint maintenance and inspection optimization of a k-out-of-n system. Paper presented at the Reliability and Maintainability Symposium (RAMS), 2016 Annual, Tucson.
   Google Scholar
• Barlow, R., & Hunter, L. (1960). Optimum preventive maintenance policies. Operations Research, 8, 90–100.10.1287/opre.8.1.90
   Web of Science ®Google Scholar
• Barlow, R. E., & Proschan, F. (1996). Mathematical theory of reliability. Philadelphia, PA: SIAM.10.1137/1.9781611971194
   Google Scholar
• Berg, M., & Epstein, B. (1976). A modified block replacement policy. Naval Research Logistics Quarterly, 23, 15–24.10.1002/(ISSN)1931-9193
   Google Scholar
• Berrade, M. D., Scarf, P. A., Cavalcante, C. A. V., & Dwight, R. A. (2013). Imperfect inspection and replacement of a system with a defective state: A cost and reliability analysis. Reliability Engineering & System Safety, 120, 80–87.10.1016/j.ress.2013.02.024
   Web of Science ®Google Scholar
• Berthaut, F., Gharbi, A., & Dhouib, K. (2011). Joint modified block replacement and production/inventory control policy for a failure-prone manufacturing cell. Omega, 39, 642–654.10.1016/j.omega.2011.01.006
   Web of Science ®Google Scholar
• Brezavšček, A. (2015). Stochastic approach to planning of spares for complex deteriorating industrial system. Quality Technology & Quantitative Management, 12, 465–480.10.1080/16843703.2015.11673431
   Web of Science ®Google Scholar
• Brown, R., & Proschan, F. (1965). Mathematical theory of reliability: New York, NY: John Wiley & Sons.
   Google Scholar
• Do, P., Voisin, A., Levrat, E., & Iung, B. (2015). A proactive condition-based maintenance strategy with both perfect and imperfect maintenance actions. Reliability Engineering & System Safety, 133, 22–32.10.1016/j.ress.2014.08.011
   Web of Science ®Google Scholar
• Endharta, A. J. & Yun, W. Y. (2017). Condition-based maintenance policy for linear consecutive-k-out-of-n: F system. Communications in Statistics-Simulation and Computation, 46(4), 3088–3102.
   Web of Science ®Google Scholar
• Giri, B. C., & Dohi, T. (2010). Quantifying the risk in age and block replacement policies. Journal of the Operational Research Society, 61, 1151–1158.10.1057/jors.2009.40
   Web of Science ®Google Scholar
• Ke, H., & Yao, K. (2016). Block replacement policy with uncertain lifetimes. Reliability Engineering & System Safety, 148, 119–124.10.1016/j.ress.2015.12.008
   Web of Science ®Google Scholar
• Khorshidi, H. A., Gunawan, I., & Ibrahim, Y. (2016). A dynamic unreliability assessment and optimal maintenance strategies for multistate weighted k-out-of-n: F systems. Applied Stochastic Models in Business and Industry, 32, 485–493.10.1002/asmb.v32.4
   Google Scholar
• Liao, H., Elsayed, E. A., & Chan, L.-Y. (2006). Maintenance of continuously monitored degrading systems. European Journal of Operational Research, 175, 821–835.10.1016/j.ejor.2005.05.017
   Web of Science ®Google Scholar
• Liu, B., Wu, S., Xie, M., & Kuo, W. (2017). A condition-based maintenance policy for degrading systems with age-and state-dependent operating cost. European Journal of Operational Research, 263 (3), 879–887.
   Web of Science ®Google Scholar
• Nakagawa, T. (1982). A modified block replacement with two variables. IEEE Transactions on Reliability, 31, 398–400.10.1109/TR.1982.5221391
   Web of Science ®Google Scholar
• Nakagawa, T. (2006). Maintenance theory of reliability. London: Springer Science & Business Media.
   Google Scholar
• Nguyen, D., & Murthy, D. (1984). A combined block and repair limit replacement policy. Journal of the Operational Research Society, 35(7), 653–658.10.1057/jors.1984.130
   Web of Science ®Google Scholar
• Park, K., & Yoo, Y. (1993). (t, k) block replacement policy with idle count. IEEE Transactions on Reliability, 42, 561–565.10.1109/24.273581
   Google Scholar
• Park, M., & Pham, H. (2012). A generalized block replacement policy for a k-out-of-n system with respect to threshold number of failed components and risk costs. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 42, 453–463.10.1109/TSMCA.2011.2162499
   Google Scholar
• Park, M., & Pham, H. (2016). Cost models for age replacement policies and block replacement policies under warranty. Applied Mathematical Modelling, 40, 5689–5702.10.1016/j.apm.2016.01.022
   Web of Science ®Google Scholar
• Pham, H., & Wang, H. (2000). Optimal (τ, T) opportunistic maintenance of ak-out-of-n: G system with imperfect PM and partial failure. Naval Research Logistics, 47, 223–239.10.1002/(ISSN)1520-6750
   Web of Science ®Google Scholar
• Scarf, P. (2007). A framework for condition monitoring and condition based maintenance. Quality Technology & Quantitative Management, 4, 301–312.10.1080/16843703.2007.11673152
   Google Scholar
• Scarf, P. A., & Cavalcante, C. A. (2010). Hybrid block replacement and inspection policies for a multi-component system with heterogeneous component lives. European Journal of Operational Research, 206, 384–394.10.1016/j.ejor.2010.02.024
   Google Scholar
• Sheu, S.-H. (1996). A modified block replacement policy with two variables and general random minimal repair cost. Journal of Applied Probability, 33, 557–572.10.1017/S0021900200099976
   Web of Science ®Google Scholar
• Tango, T. (1978). Extended block replacement policy with used items. Journal of Applied Probability, 15, 560–572.10.1017/S0021900200045939
   Web of Science ®Google Scholar
• Wang, W., Zhao, F., & Peng, R. (2014). A preventive maintenance model with a two-level inspection policy based on a three-stage failure process. Reliability Engineering & System Safety, 121, 207–220.10.1016/j.ress.2013.08.007
   Web of Science ®Google Scholar