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Optimal Preventive Maintenance Policies for Repairable Systems

Author

Listed:
  • D. G. Nguyen

    (University of Queensland, Brisbane, Australia)

  • D. N. P. Murthy

    (University of Queensland, Brisbane, Australia)

Abstract

We study the problem of optimal preventive maintenance policies for repairable systems. After each repair the system improves but the failure rate function increases with the number of repairs carried out. Two types of preventive maintenance policies are considered. The criterion for optimal policies is to minimize the expected cost per unit time for an infinite time span. It is shown that under certain reasonable assumptions, both policies have unique solutions. An algorithm to compute the optimal solutions is described.

Suggested Citation

  • D. G. Nguyen & D. N. P. Murthy, 1981. "Optimal Preventive Maintenance Policies for Repairable Systems," Operations Research, INFORMS, vol. 29(6), pages 1181-1194, December.
    • Handle: RePEc:inm:oropre:v:29:y:1981:i:6:p:1181-1194
    DOI: 10.1287/opre.29.6.1181
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    Citations

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    Cited by:

    1. Peyman Mazidi & Miguel A Sanz Bobi & Ebrahim Shayesteh & Patrik Hilber, 2017. "Impact of health indicators on maintenance management and operation of power systems," Journal of Risk and Reliability, , vol. 231(6), pages 716-731, December.
    2. Marais, Karen B. & Saleh, Joseph H., 2009. "Beyond its cost, the value of maintenance: An analytical framework for capturing its net present value," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 644-657.
    3. Andrés Christen, J. & Ruggeri, Fabrizio & Villa, Enrique, 2011. "Utility based maintenance analysis using a Random Sign censoring model," Reliability Engineering and System Safety, Elsevier, vol. 96(3), pages 425-431.
    4. Zequeira, R.I. & Bérenguer, C., 2006. "Periodic imperfect preventive maintenance with two categories of competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 91(4), pages 460-468.
    5. S El-Ferik & M Ben-Daya, 2008. "Model for imperfect age-based preventive maintenance with age reduction," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(12), pages 1644-1651, December.
    6. Sheu, Shey-Huei & Chang, Chin-Chih & Zhang, Zhe George & Chien, Yu-Hung, 2012. "A note on replacement policy for a system subject to non-homogeneous pure birth shocks," European Journal of Operational Research, Elsevier, vol. 216(2), pages 503-508.
    7. Daming Lin & Ming J. Zuo & Richard C. M. Yam, 2001. "Sequential imperfect preventive maintenance models with two categories of failure modes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(2), pages 172-183, March.
    8. Huang, Yeu-Shiang & Gau, Wei-Yo & Ho, Jyh-Wen, 2015. "Cost analysis of two-dimensional warranty for products with periodic preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 51-58.
    9. Lin, Zu-Liang & Huang, Yeu-Shiang & Fang, Chih-Chiang, 2015. "Non-periodic preventive maintenance with reliability thresholds for complex repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 145-156.
    10. Juang, Muh-Guey & Anderson, Gary, 2004. "A Bayesian method on adaptive preventive maintenance problem," European Journal of Operational Research, Elsevier, vol. 155(2), pages 455-473, June.
    11. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    12. Stadje, Wolfgang & Zuckerman, Dror, 1996. "A generalized maintenance model for stochastically deteriorating equipment," European Journal of Operational Research, Elsevier, vol. 89(2), pages 285-301, March.
    13. Kirschenmann, Thomas & Popova, Elmira & Damien, Paul & Hanson, Tim, 2014. "Decision dependent stochastic processes," European Journal of Operational Research, Elsevier, vol. 234(3), pages 731-742.
    14. Aghezzaf, El-Houssaine & Khatab, Abdelhakim & Tam, Phuoc Le, 2016. "Optimizing production and imperfect preventive maintenance planning׳s integration in failure-prone manufacturing systems," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 190-198.
    15. Kurt, Murat & Kharoufeh, Jeffrey P., 2010. "Optimally maintaining a Markovian deteriorating system with limited imperfect repairs," European Journal of Operational Research, Elsevier, vol. 205(2), pages 368-380, September.
    16. Cha, Ji Hwan, 2016. "New stochastic models for preventive maintenance and maintenance optimizationAuthor-Name: Lee, Hyunju," European Journal of Operational Research, Elsevier, vol. 255(1), pages 80-90.
    17. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    18. Zu‐Liang Lin & Yeu‐Shiang Huang, 2010. "Nonperiodic preventive maintenance for repairable systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(7), pages 615-625, October.
    19. Xiao Wang & Hongwei Wang & Chao Qi, 2016. "Multi-agent reinforcement learning based maintenance policy for a resource constrained flow line system," Journal of Intelligent Manufacturing, Springer, vol. 27(2), pages 325-333, April.
    20. El-Ferik, Sami, 2008. "Economic production lot-sizing for an unreliable machine under imperfect age-based maintenance policy," European Journal of Operational Research, Elsevier, vol. 186(1), pages 150-163, April.
    21. Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.

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