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Article

Optimal preventive replacement policies for a system with discrete scheduled times

Pages 1356-1368 | Received 05 Feb 2021, Accepted 01 May 2021, Published online: 14 Oct 2021

References

  • Barlow, R. E., and L. C. Hunter. 1960. Optimum preventive maintenance policies. Operations Research 8 (1):90–100. doi: 10.1287/opre.8.1.90.
  • Barlow, M., and F. Proschan. 1965. Mathematical theory of reliability. New York: John Wiley & Sons.
  • Beichelt, F. 1993. A unifying treatment of replacement policies with minimal repair. Naval Research Logistics 40 (1):51–67. doi: 10.1002/1520-6750(199302)40:1<51::AID-NAV3220400104>3.0.CO;2-V.
  • Block, H. W., W. S. Borges, and T. H. Savits. 1985. Age-dependent minimal repair. Journal of Applied Probability 22 (2):370–86. doi: 10.2307/3213780.
  • Brown, M., and F. Proschan. 1983. Imperfect repair. Journal of Applied Probability 20 (4):851–59. doi: 10.2307/3213596.
  • Chang, C. C. 2014. Optimum preventive maintenance policies for systems subject to random working time, replacement, and minimal repair. Computers & Industrial Engineering 67:185–94. doi: 10.1016/j.cie.2013.11.011.
  • Chang, C. C. 2016. Optimal preventive policies for imperfect maintenance models with replacement first and last. Communications in Statistics – Theory and Methods 45 (17):5123–36. doi: 10.1080/03610926.2014.936942.
  • Chang, C. C., Y. L. Chen, X. Yin, and Z. G. Zhang. 2019. Generalized multi-parameter preventive replacement policy for systems with random processing times. INFOR: Information Systems and Operational Research 57 (2):187–203. doi: 10.1080/03155986.2018.1533210.
  • Chang, C. C., S. H. Sheu, and Y. L. Chen. 2010. Optimal number of minimal repairs before replacement based on a cumulative repair-cost limit policy. Computers & Industrial Engineering 59 (4):603–10. doi: 10.1016/j.cie.2010.07.005.
  • Chang, C. C., S. H. Sheu, and Y. L. Chen. 2013. A bivariate optimal replacement policy for a system with age-dependent minimal repair and cumulative repair-cost limit. Communications in Statistics – Theory and Methods 42 (22):4108–26. doi: 10.1080/03610926.2011.648789.
  • Chen, M., S. Nakamura, and T. Nakagawa. 2010. Replacement and Preventive maintenance models with random working times. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E93-A (2):500–507. doi: 10.1587/transfun.E93.A.500.
  • Chen, Y. L. 2012. A bivariate optimal imperfect preventive maintenance policy for a used system with two-type shocks. Computers & Industrial Engineering 63 (4):1227–34. doi: 10.1016/j.cie.2012.08.003.
  • Chien, Y. H., C. C. Chang, and S. H. Sheu. 2009. Optimal periodical time for preventive replacement based on a cumulative repair-cost limit and random lead time. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 223 (4):333–45. doi: 10.1243/1748006XJRR258.
  • Makabe, H., and H. Morimura. 1963a. A new policy for preventive maintenance. Journal of the Operations Research Society of Japan 5 (3):110–24.
  • Makabe, H., and H. Morimura. 1963b. On some preventive maintenance policies. Journal of the Operations Research Society of Japan 6 (1):17–47.
  • Makabe, H., and H. Morimura. 1965. Some considerations on preventive maintenance policies with numerical analysis. Journal of the Operations Research Society of Japan 7 (4):154–71.
  • Nakagawa, T. 1981. Generalized models for determining optimal number of minimal repair before replacement. Journal of the Operations Research Society of Japan 24 (4):325–37. doi: 10.15807/jorsj.24.325.
  • Nakagawa, T. 2005. Maintenance theory of reliability. London: Springer.
  • Nakagawa, T. 2008. Advanced reliability models and maintenance policies. London: Springer.
  • Park, K. S. 1979. Optimal number of minimal repairs before replacement. IEEE Transactions on Reliability R-28 (2):137–40. doi: 10.1109/TR.1979.5220523.
  • Pham, H., and H. Wang. 1996. Imperfect maintenance. European Journal of Operational Research 94 (3):425–38. doi: 10.1016/S0377-2217(96)00099-9.
  • Savits, T. H. 1988. Some multivariate distribution derived from a non-fatal shock model. Journal of Applied Probability 25 (2):383–90. doi: 10.2307/3214446.
  • Sheu, S. H., Y. L. Chen, C. C. Chang, and Z. G. Zhang. 2013. Optimal number of repairs before replacement for a system subject to shocks of a non-homogeneous pure birth process. IEEE Transactions on Reliability 62 (1):73–81. doi: 10.1109/TR.2013.2241195.
  • Zhao, X., J. Cai, S. Mizutani, and T. Nakagawa. 2020a. Preventive replacement policies with time of operations, mission durations, minimal repairs and maintenance triggering approaches. Journal of Manufacturing Systems. Advance online publication. doi: 10.1016/j.jmsy.2020.04.003.
  • Zhao, X., M. Chen, and T. Nakagawa. 2020b. Periodic replacement policies with shortage and excess costs. Annals of Operations Research. Advance online publication. doi: 10.1007/s10479-020-03566-z.
  • Zhao, X., S. Mizutani, M. Chen, and T. Nakagawa. 2020c. Preventive replacement policies for parallel systems with deviation costs between replacement and failure. Annals of Operations Research. Advance online publication. doi: 10.1007/s10479-020-03791-6.
  • Zhao, X., and T. Nakagawa. 2012. Optimization problem of replacement first or last in reliability theory. European Journal of Operational Research 223 (1):141–9. doi: 10.1016/j.ejor.2012.05.035.
  • Zhao, X., Q. Zheng, X. Jia, C. Qian, S. Mizutani, and M. Chen. 2021. Periodic and sequential inspection policies with mission failure probabilities. Quality and Reliability Engineering International. Advance online publication. doi: 10.1002/qre.2868.

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