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Periodic imperfect preventive maintenance with two categories of competing failure modes

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  • Zequeira, R.I.
  • Bérenguer, C.

Abstract

A maintenance policy is studied for a system with two types of failure modes: maintainable and non-maintainable. The quality of maintenance actions is modelled by its effect on the system failure rate. Preventive maintenance actions restore the system to a condition between as good as new and as bad as immediately before the maintenance action. The model presented permits to study the equipment condition improvement (improvement factor) as a function of the time of the preventive maintenance action. The determination of the maintenance policy, which minimizes the cost rate for an infinite time span, is examined. Conditions are given under which a unique optimal policy exists.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:91:y:2006:i:4:p:460-468
    DOI: 10.1016/j.ress.2005.03.009
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    References listed on IDEAS

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    1. 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.
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    Cited by:

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    3. P Baraldi & M Compare & A Despujols & E Zio, 2011. "Modelling the effects of maintenance on the degradation of a water-feeding turbo-pump of a nuclear power plant," Journal of Risk and Reliability, , vol. 225(2), pages 169-183, June.
    4. Mosayebi Omshi, E. & Grall, A., 2021. "Replacement and imperfect repair of deteriorating system: Study of a CBM policy and impact of repair efficiency," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    5. Huynh, K.T. & Castro, I.T. & Barros, A. & Bérenguer, C., 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 140-151.
    6. Meango, Toualith Jean-Marc & Ouali, Mohamed-Salah, 2020. "Failure interaction model based on extreme shock and Markov processes," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    7. Navarro, Jorge & Arriaza, Antonio & Suárez-Llorens, Alfonso, 2019. "Minimal repair of failed components in coherent systems," European Journal of Operational Research, Elsevier, vol. 279(3), pages 951-964.
    8. Liang, Zhenglin & Parlikad, Ajith Kumar & Srinivasan, Rengarajan & Rasmekomen, Nipat, 2017. "On fault propagation in deterioration of multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 162(C), pages 72-80.
    9. Aven, Terje & Castro, I.T., 2008. "A minimal repair replacement model with two types of failure and a safety constraint," European Journal of Operational Research, Elsevier, vol. 188(2), pages 506-515, July.
    10. Hooti, Fatemeh & Ahmadi, Jafar & Longobardi, Maria, 2020. "Optimal extended warranty length with limited number of repairs in the warranty period," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    11. 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.
    12. Zhu, Wenjin & Fouladirad, Mitra & Bérenguer, Christophe, 2016. "A multi-level maintenance policy for a multi-component and multifailure mode system with two independent failure modes," Reliability Engineering and System Safety, Elsevier, vol. 153(C), pages 50-63.
    13. Castro, I.T., 2009. "A model of imperfect preventive maintenance with dependent failure modes," European Journal of Operational Research, Elsevier, vol. 196(1), pages 217-224, July.
    14. Alebrant Mendes, Angélica & Coit, David W. & Duarte Ribeiro, José Luis, 2014. "Establishment of the optimal time interval between periodic inspections for redundant systems," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 148-165.
    15. Liu, Xingheng & Finkelstein, Maxim & Vatn, Jørn & Dijoux, Yann, 2020. "Steady-state imperfect repair models," European Journal of Operational Research, Elsevier, vol. 286(2), pages 538-546.
    16. Jingyi Liu & Yugang Zhang & Bifeng Song, 2019. "Reliability and maintenance modeling for competing failures with intermission considered," Journal of Risk and Reliability, , vol. 233(5), pages 898-907, October.
    17. A Ponchet & M Fouladirad & A Grall, 2011. "Maintenance policy on a finite time span for a gradually deteriorating system with imperfect improvements," Journal of Risk and Reliability, , vol. 225(2), pages 105-116, June.
    18. Torrado, Nuria & Arriaza, Antonio & Navarro, Jorge, 2021. "A study on multi-level redundancy allocation in coherent systems formed by modules," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    19. Jingyi Zhao & Chunhai Gao & Tao Tang, 2022. "A Review of Sustainable Maintenance Strategies for Single Component and Multicomponent Equipment," Sustainability, MDPI, vol. 14(5), pages 1-22, March.
    20. P-E Labeau & M-C Segovia, 2011. "Effective age models for imperfect maintenance," Journal of Risk and Reliability, , vol. 225(2), pages 117-130, June.
    21. Yun, Won Young & Murthy, D.N.P. & Jack, N., 2008. "Warranty servicing with imperfect repair," International Journal of Production Economics, Elsevier, vol. 111(1), pages 159-169, January.
    22. Wang, Guan Jun & Zhang, Yuan Lin, 2013. "Optimal repair–replacement policies for a system with two types of failures," European Journal of Operational Research, Elsevier, vol. 226(3), pages 500-506.

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