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Modelling and optimizing sequential imperfect preventive maintenance

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  • Bartholomew-Biggs, Michael
  • Zuo, Ming J.
  • Li, Xiaohu

Abstract

This paper deals with the problem of scheduling imperfect preventive maintenance (PM) of some equipment. It uses a model due to Kijima in which each application of PM reduces the equipment's effective age (but without making it as good as new). The approach presented here involves minimizing a performance function which allows for the costs of minimal repair and eventual system replacement as well as for the costs of PM during the equipment's operating lifetime. The paper describes a numerical investigation into the sensitivity of optimum schedules to different aspects of an age-reduction model (including the situation when parts of a system are non-maintainable—i.e., unaffected by PM).

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  • Bartholomew-Biggs, Michael & Zuo, Ming J. & Li, Xiaohu, 2009. "Modelling and optimizing sequential imperfect preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 53-62.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:1:p:53-62
    DOI: 10.1016/j.ress.2008.03.002
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    1. Kijima, Masaaki & Morimura, Hidenori & Suzuki, Yasusuke, 1988. "Periodical replacement problem without assuming minimal repair," European Journal of Operational Research, Elsevier, vol. 37(2), pages 194-203, November.
    2. Pascual, R. & Ortega, J.H., 2006. "Optimal replacement and overhaul decisions with imperfect maintenance and warranty contracts," Reliability Engineering and System Safety, Elsevier, vol. 91(2), pages 241-248.
    3. John J. McCall, 1965. "Maintenance Policies for Stochastically Failing Equipment: A Survey," Management Science, INFORMS, vol. 11(5), pages 493-524, March.
    4. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    5. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
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    Citations

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    Cited by:

    1. Toledo, Maria Luíza Guerra de & Freitas, Marta A. & Colosimo, Enrico A. & Gilardoni, Gustavo L., 2015. "ARA and ARI imperfect repair models: Estimation, goodness-of-fit and reliability prediction," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 107-115.
    2. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2018. "Optimal imperfect maintenance cost analysis of a two-component system with failure interactions," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 24-34.
    3. Chen, Tao & Li, Jiawen & Jin, Ping & Cai, Guobiao, 2013. "Reusable rocket engine preventive maintenance scheduling using genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 52-60.
    4. Serguei Maximov & Consuelo de J. Cortes-Penagos, 2020. "A long-time asymptotic solution to the g-renewal equation for underlying distributions with nondecreasing hazard functions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(2), pages 311-341, October.
    5. Nguyen, Dinh Tuan & Dijoux, Yann & Fouladirad, Mitra, 2017. "Analytical properties of an imperfect repair model and application in preventive maintenance scheduling," European Journal of Operational Research, Elsevier, vol. 256(2), pages 439-453.
    6. Zhu, Mixin & Zhou, Xiaojun, 2023. "Hybrid opportunistic maintenance policy for serial-parallel multi-station manufacturing systems with spare part overlap," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    7. Shafiee, Mahmood & Finkelstein, Maxim & Chukova, Stefanka, 2011. "On optimal upgrade level for used products under given cost structures," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 286-291.
    8. Tanwar, Monika & Rai, Rajiv N. & Bolia, Nomesh, 2014. "Imperfect repair modeling using Kijima type generalized renewal process," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 24-31.
    9. Chien, Yu-Hung & Sheu, Shey-Huei & Zhang, Zhe George, 2012. "Optimal maintenance policy for a system subject to damage in a discrete time process," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 1-10.
    10. Barabadi, Abbas & Barabady, Javad & Markeset, Tore, 2014. "Application of reliability models with covariates in spare part prediction and optimization – A case study," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 1-7.
    11. Ait Mokhtar, El Hassene & Laggoune, Radouane & Chateauneuf, Alaa, 2023. "Imperfect maintenance modeling and assessment of repairable multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    12. Smolyak, S., 2014. "Overhaul Policy Optimization and Equipment Valuation Concerning Its Reliability," Journal of the New Economic Association, New Economic Association, vol. 22(2), pages 102-131.
    13. Colen, P.J. & Lambrecht, M.R., 2012. "Cross-training policies in field services," International Journal of Production Economics, Elsevier, vol. 138(1), pages 76-88.
    14. Kiassat, Corey & Safaei, Nima & Banjevic, Dragan, 2014. "Choosing the optimal intervention method to reduce human-related machine failures," European Journal of Operational Research, Elsevier, vol. 233(3), pages 604-612.
    15. Hamidi, Maryam & Liao, Haitao & Szidarovszky, Ferenc, 2016. "Non-cooperative and cooperative game-theoretic models for usage-based lease contracts," European Journal of Operational Research, Elsevier, vol. 255(1), pages 163-174.
    16. Mohammad Doostparast & Farhad Kolahan & Mahdi Doostparast, 2015. "Optimisation of PM scheduling for multi-component systems – a simulated annealing approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1199-1207, May.
    17. Medina-Oliva, G. & Weber, P. & Iung, B., 2013. "PRM-based patterns for knowledge formalisation of industrial systems to support maintenance strategies assessment," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 38-56.
    18. Huang, Yeu-Shiang & Ho, Jyh-Wen & Hung, Jin-Wei & Tseng, Tzu-Liang (Bill), 2021. "A customized warranty model by considering multi-usage levels for the leasing industry," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    19. Mayank Pandey & Ming J Zuo & Ramin Moghaddass, 2016. "Selective maintenance scheduling over a finite planning horizon," Journal of Risk and Reliability, , vol. 230(2), pages 162-177, April.

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