IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i8p716-d255574.html
   My bibliography  Save this article

Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance

Author

Listed:
  • Juhyun Lee

    (Department of Industrial and Management Engineering, Hanyang University, Seoul 04763, Korea)

  • Byunghoon Kim

    (Department of Industrial and Management Engineering, Hanyang University ERICA, Ansan 15588, Korea)

  • Suneung Ahn

    (Department of Industrial and Management Engineering, Hanyang University ERICA, Ansan 15588, Korea)

Abstract

This study deals with the preventive maintenance optimization problem based on a reliability threshold. The conditional reliability threshold is used instead of the system reliability threshold. Then, the difference between the two thresholds is discussed. The hybrid failure rate model is employed to represent the effect of imperfect preventive maintenance activities. Two maintenance strategies are proposed under two types of reliability constraints. These constraints are set to consider the cost-effective maintenance strategy and to evaluate the balancing point between the expected total maintenance cost rate and the system reliability. The objective of the proposed maintenance strategies is to determine the optimal conditional reliability threshold together with the optimal number of preventive maintenance activities that minimize the expected total maintenance cost per unit time. The optimality conditions of the proposed maintenance strategies are also investigated and shown via four propositions. A numerical example is provided to illustrate the proposed preventive maintenance strategies. Some sensitivity analyses are also conducted to investigate how the parameters of the proposed model affect the optimality of preventive maintenance strategies.

Suggested Citation

  • Juhyun Lee & Byunghoon Kim & Suneung Ahn, 2019. "Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance," Mathematics, MDPI, vol. 7(8), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:716-:d:255574
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/8/716/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/8/716/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ben Mabrouk, A. & Chelbi, A. & Radhoui, M., 2016. "Optimal imperfect maintenance strategy for leased equipment," International Journal of Production Economics, Elsevier, vol. 178(C), pages 57-64.
    2. Abbink, Klaus & Dong, Lu & Huang, Lingbo, 2023. "Preventive wars," Games and Economic Behavior, Elsevier, vol. 142(C), pages 552-569.
      • Klaus Abbink & Lu Dong & Lingbo Huang, 2022. "Preventive Wars," Discussion Papers 2022-01, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    3. Doostparast, Mohammad & Kolahan, Farhad & Doostparast, Mahdi, 2014. "A reliability-based approach to optimize preventive maintenance scheduling for coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 98-106.
    4. 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.
    5. Park, Minjae & Jung, Ki Mun & Park, Dong Ho, 2018. "Optimization of periodic preventive maintenance policy following the expiration of two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 1-9.
    6. 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.
    7. Biswajit Sarkar & Shib Sankar Sana & Kripasindhu Chaudhuri, 2010. "Optimal reliability, production lot size and safety stock in an imperfect production system," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(4), pages 467-490.
    8. M. Ilangkumaran & S. Kumanan, 2012. "Application of Hybrid VIKOR Model in Selection of Maintenance Strategy," International Journal of Information Systems and Supply Chain Management (IJISSCM), IGI Global, vol. 5(2), pages 59-81, April.
    9. A. Khatab, 2018. "Maintenance optimization in failure-prone systems under imperfect preventive maintenance," Journal of Intelligent Manufacturing, Springer, vol. 29(3), pages 707-717, March.
    10. Zhou, Xiaojun & Xi, Lifeng & Lee, Jay, 2007. "Reliability-centered predictive maintenance scheduling for a continuously monitored system subject to degradation," Reliability Engineering and System Safety, Elsevier, vol. 92(4), pages 530-534.
    11. Gwo-Liang Liao, 2016. "Optimal economic production quantity policy for a parallel system with repair, rework, free-repair warranty and maintenance," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6265-6280, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hennie Husniah & Asep K. Supriatna, 2021. "Computing the Number of Failures for Fuzzy Weibull Hazard Function," Mathematics, MDPI, vol. 9(22), pages 1-19, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chaoqun Duan & Chao Deng & Bingran Wang, 2019. "Multi-phase sequential preventive maintenance scheduling for deteriorating repairable systems," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1779-1793, April.
    2. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    3. Jiang, Junwei & An, Youjun & Dong, Yuanfa & Hu, Jiawen & Li, Yinghe & Zhao, Ziye, 2023. "Integrated optimization of non-permutation flow shop scheduling and maintenance planning with variable processing speed," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    4. Xiaofeng Wang & Shu Guo & Jian Shen & Yang Liu, 2020. "Optimization of preventive maintenance for series manufacturing system by differential evolution algorithm," Journal of Intelligent Manufacturing, Springer, vol. 31(3), pages 745-757, March.
    5. 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.
    6. Xiaohui Chen & Lin Zhang & Ze Zhang, 2020. "An integrated model for maintenance policies and production scheduling based on immune–culture algorithm," Journal of Risk and Reliability, , vol. 234(5), pages 651-663, October.
    7. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimizing preventive replacement schedule in standby systems with time consuming task transfers," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    8. Zhou, Xiaojun & Wu, Changjie & Li, Yanting & Xi, Lifeng, 2016. "A preventive maintenance model for leased equipment subject to internal degradation and external shock damage," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 1-7.
    9. Liu, Gehui & Chen, Shaokuan & Jin, Hua & Liu, Shuang, 2021. "Optimum opportunistic maintenance schedule incorporating delay time theory with imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    10. Lu, Yaohui & Wang, Shaoping & Zhang, Chao & Chen, Rentong & Dui, Hongyan & Mu, Rui, 2024. "Adaptive maintenance window-based opportunistic maintenance optimization considering operational reliability and cost," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    11. Slimacek, Vaclav & Lindqvist, Bo Henry, 2016. "Nonhomogeneous Poisson process with nonparametric frailty," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 14-23.
    12. Li Li & Yong Wang & Kuo-Yi Lin, 2021. "Preventive maintenance scheduling optimization based on opportunistic production-maintenance synchronization," Journal of Intelligent Manufacturing, Springer, vol. 32(2), pages 545-558, February.
    13. 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.
    14. Zhang, Mimi & Gaudoin, Olivier & Xie, Min, 2015. "Degradation-based maintenance decision using stochastic filtering for systems under imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 245(2), pages 531-541.
    15. Manoranjan De & Barun Das & Manoranjan Maiti, 2016. "EPL models for complementary and substitute items under imperfect production process with promotional cost and selling price dependent demands," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 259-277, June.
    16. Zhengxin Zhang & Xiaosheng Si & Changhua Hu & Xiangyu Kong, 2015. "Degradation modeling–based remaining useful life estimation: A review on approaches for systems with heterogeneity," Journal of Risk and Reliability, , vol. 229(4), pages 343-355, August.
    17. 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).
    18. Yifei Wang & Chun Su & Mingjiang Xie, 2024. "Optimizing inspection plan for corroded pipeline with considering imperfect maintenance," Journal of Risk and Reliability, , vol. 238(2), pages 417-428, April.
    19. Lin, Boliang & Zhao, Yinan, 2021. "Synchronized optimization of EMU train assignment and second-level preventive maintenance scheduling," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    20. Liu, Gehui & Chen, Shaokuan & Ho, Tinkin & Ran, Xinchen & Mao, Baohua & Lan, Zhen, 2022. "Optimum opportunistic maintenance schedule over variable horizons considering multi-stage degradation and dynamic strategy," Reliability Engineering and System Safety, Elsevier, vol. 225(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:716-:d:255574. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.