IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v256y2025ics0951832024008391.html

A new imperfect maintenance model for multi-component systems

Author

Listed:
  • Lima, Victor Hugo Resende
  • Ribeiro, Lucas Frederico Alves
  • Cavalcante, Cristiano Alexandre Virgínio
  • Do, Phuc

Abstract

This paper introduces a model for managing imperfect maintenance in multi-component systems, and addresses the Selective Maintenance Problem with the inclusion of perfect preventive and corrective actions. Another significant contribution is our proposal of a heuristic that aims to provide nearly optimal solutions to this intricate problem. Our model prioritizes efficient resource utilization, taking into account positive economic and structural dependencies among system components. Furthermore, we introduce a virtual age reduction model that uses real age, historical imperfect actions, and the ratio of imperfect to perfect actions. Additionally, a cutting-edge system performance indicator is perfectly aligned with the multi-mission approach, and aims at sustained long-term efficiency. Effectiveness is measured by a metric that integrates post-maintenance reliability and maintenance cost, showcasing resilience in evaluating the performance of selective maintenance. To address the problem's complexity, we introduce a heuristic algorithm that produces compelling outcomes, with a relative error of less than 0.25 % in most instances.

Suggested Citation

  • Lima, Victor Hugo Resende & Ribeiro, Lucas Frederico Alves & Cavalcante, Cristiano Alexandre Virgínio & Do, Phuc, 2025. "A new imperfect maintenance model for multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
  • Handle: RePEc:eee:reensy:v:256:y:2025:i:c:s0951832024008391
    DOI: 10.1016/j.ress.2024.110768
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832024008391
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2024.110768?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. 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).
    2. Kilic, Onur A. & Tarim, S. Armagan, 2024. "A simple heuristic for computing non-stationary inventory policies based on function approximation," European Journal of Operational Research, Elsevier, vol. 316(3), pages 899-905.
    3. Wang, Yukun & Gao, Weizheng & Li, Xiaopeng & Liu, Yiliu, 2024. "Joint optimization of performance-based contracting, condition-based maintenance and spare parts inventory for degrading production systems," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    4. Fecarotti, Claudia & Andrews, John & Pesenti, Raffaele, 2021. "A mathematical programming model to select maintenance strategies in railway networks," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    5. Dinh, Duc-Hanh & Do, Phuc & Iung, Benoit, 2022. "Multi-level opportunistic predictive maintenance for multi-component systems with economic dependence and assembly/disassembly impacts," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    6. Oakley, Jordan L. & Wilson, Kevin J. & Philipson, Pete, 2022. "A condition-based maintenance policy for continuously monitored multi-component systems with economic and stochastic dependence," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    7. Ma, Jie & Cai, Li & Liao, Guobo & Yin, Hongpeng & Si, Xiaosheng & Zhang, Peng, 2023. "A multi-phase Wiener process-based degradation model with imperfect maintenance activities," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    8. Zhang, Qin & Liu, Yu & Xiahou, Tangfan & Huang, Hong-Zhong, 2023. "A heuristic maintenance scheduling framework for a military aircraft fleet under limited maintenance capacities," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    9. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    10. Dao, Cuong D. & Zuo, Ming J. & Pandey, Mayank, 2014. "Selective maintenance for multi-state series–parallel systems under economic dependence," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 240-249.
    11. Do, Phuc & Voisin, Alexandre & Levrat, Eric & Iung, Benoit, 2015. "A proactive condition-based maintenance strategy with both perfect and imperfect maintenance actions," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 22-32.
    12. 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.
    13. Sinisterra, Wilfrido Quiñones & Lima, Victor Hugo Resende & Cavalcante, Cristiano Alexandre Virginio & Aribisala, Adetoye Ayokunle, 2023. "A delay-time model to integrate the sequence of resumable jobs, inspection policy, and quality for a single-component system," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    14. Oliveira, Augusto Cesar Laviola de & Mendonça, Isabela Miranda de & Duque, Felipe Gomes & Renato, Natalia dos Santos & Silva Junior, Ivo Chaves da, 2020. "A new proposal of static expansion planning of electric power transmission systems using statistical indicators," Reliability Engineering and System Safety, Elsevier, vol. 200(C).
    15. Ryan O'Neil & Claver Diallo & Abdelhakim Khatab & El-Houssain Aghezzaf, 2023. "A hybrid column-generation and genetic algorithm approach for solving large-scale multimission selective maintenance problems in serial K-out-of-n:G systems," International Journal of Production Research, Taylor & Francis Journals, vol. 61(9), pages 3070-3086, May.
    16. Vu, Hai Canh & Do, Phuc & Fouladirad, Mitra & Grall, Antoine, 2020. "Dynamic opportunistic maintenance planning for multi-component redundant systems with various types of opportunities," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    17. Zhou, Yifan & Lin, Tian Ran & Sun, Yong & Ma, Lin, 2016. "Maintenance optimisation of a parallel-series system with stochastic and economic dependence under limited maintenance capacity," Reliability Engineering and System Safety, Elsevier, vol. 155(C), pages 137-146.
    18. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    19. Richard Cassady, C. & Paul Murdock, W. & Pohl, Edward A., 2001. "Selective maintenance for support equipment involving multiple maintenance actions," European Journal of Operational Research, Elsevier, vol. 129(2), pages 252-258, March.
    20. Salem, Marwa Belhaj & Fouladirad, Mitra & Deloux, Estelle, 2022. "Variance Gamma process as degradation model for prognosis and imperfect maintenance of centrifugal pumps," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    21. Dao, Cuong D. & Zuo, Ming J., 2017. "Selective maintenance of multi-state systems with structural dependence," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 184-195.
    22. Xia, Tangbin & Si, Guojin & Shi, Guo & Zhang, Kaigan & Xi, Lifeng, 2022. "Optimal selective maintenance scheduling for series–parallel systems based on energy efficiency optimization," Applied Energy, Elsevier, vol. 314(C).
    23. Doyen, Laurent & Gaudoin, Olivier & Syamsundar, Annamraju, 2017. "On geometric reduction of age or intensity models for imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 40-52.
    24. Dinh, Duc-Hanh & Do, Phuc & Iung, Benoit & Nguyen, Pham-The-Nhan, 2024. "Reliability modeling and opportunistic maintenance optimization for a multicomponent system with structural dependence," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    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. Zhao, Xian & Lv, Zuheng & Qiu, Qingan & Wu, Yaguang, 2025. "Optimal mission abort and selective replacement policies for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 264(PA).
    2. Bafandegan Emroozi, Vahideh & Doostparast, Mahdi, 2025. "Markov chain-based model for IoT-driven maintenance planning with human error and spare part considerations," Reliability Engineering and System Safety, Elsevier, vol. 261(C).
    3. Bafandegan Emroozi, Vahideh & Kazemi, Mostafa & Doostparast, Mahdi, 2025. "Enhancing industrial maintenance planning: Optimization of human error reduction and spare parts management," Operations Research Perspectives, Elsevier, vol. 14(C).
    4. Bakır, Niyazi Onur & Tekin, Salih & Keleş, Büşra, 2026. "Expected utility-based maintenance planning under risk aversion for a two-state deterioration model," Reliability Engineering and System Safety, Elsevier, vol. 270(C).

    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. Leppinen, Jussi & Punkka, Antti & Ekholm, Tommi & Salo, Ahti, 2025. "An optimization model for determining cost-efficient maintenance policies for multi-component systems with economic and structural dependencies," Omega, Elsevier, vol. 130(C).
    2. Chen, Yiming & Liu, Yu & Jiang, Tao, 2021. "Optimal maintenance strategy for multi-state systems with single maintenance capacity and arbitrarily distributed maintenance time," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    3. Zhou, Kai-Li & Cheng, De-Jun & Zhang, Han-Bing & Hu, Zhong-tai & Zhang, Chun-Yan, 2023. "Deep learning-based intelligent multilevel predictive maintenance framework considering comprehensive cost," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    4. Liu, Yu & Chen, Yiming & Jiang, Tao, 2020. "Dynamic selective maintenance optimization for multi-state systems over a finite horizon: A deep reinforcement learning approach," European Journal of Operational Research, Elsevier, vol. 283(1), pages 166-181.
    5. Chaabane, K. & Khatab, A. & Diallo, C. & Aghezzaf, E.-H. & Venkatadri, U., 2020. "Integrated imperfect multimission selective maintenance and repairpersons assignment problem," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    6. Dinh, Duc-Hanh & Do, Phuc & Iung, Benoit & Nguyen, Pham-The-Nhan, 2024. "Reliability modeling and opportunistic maintenance optimization for a multicomponent system with structural dependence," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    7. Abu MD Ariful Islam & Jørn Vatn, 2023. "Condition-based multi-component maintenance decision support under degradation uncertainties," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(4), pages 961-979, December.
    8. Feng, Xiaoning & Chen, Xiaohui & Zhang, Lin, 2025. "Selective maintenance optimization for mission-oriented dynamic dependent systems under uncertain future operating environments," Reliability Engineering and System Safety, Elsevier, vol. 262(C).
    9. Jiang, Tao & Liu, Yu, 2020. "Selective maintenance strategy for systems executing multiple consecutive missions with uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    10. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    11. Yin, Mingang & Liu, Yu & Liu, Shuntao & Chen, Yiming & Yan, Yutao, 2023. "Scheduling heterogeneous repair channels in selective maintenance of multi-state systems with maintenance duration uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    12. He, Zhichao & Wang, Yanhui & Sun, Wanhua & Hao, Yucheng & Xia, Weifu, 2025. "A proactive opportunistic maintenance decision model based on reliability in train systems," Reliability Engineering and System Safety, Elsevier, vol. 255(C).
    13. Boardman, Nicholas T. & Sullivan, Kelly M., 2024. "Approximate dynamic programming for condition-based node deployment in a wireless sensor network," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    14. Shen, Jingyuan & Hu, Jiawen & Ma, Yizhong, 2020. "Two preventive replacement strategies for systems with protective auxiliary parts subject to degradation and economic dependence," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    15. Wenbin Cao & Xisheng Jia & Yu Liu & Qiwei Hu & Jianmin Zhao, 2019. "Selective maintenance optimisation considering random common cause failures and imperfect maintenance," Journal of Risk and Reliability, , vol. 233(3), pages 427-443, June.
    16. 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).
    17. Chun Su & Kui Huang & Zejun Wen, 2022. "Multi-objective imperfect selective maintenance optimization for series-parallel systems with stochastic mission duration," Journal of Risk and Reliability, , vol. 236(6), pages 923-935, December.
    18. Lu, Biao & Wang, Xin & Cui, Weiwei & Ye, Zhisheng, 2025. "A predictive opportunistic maintenance policy for a serial–parallel multi-station manufacturing system with heterogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
    19. Liu, Qiannan & Ma, Lin & Wang, Naichao & Chen, Ankang & Jiang, Qihang, 2022. "A condition-based maintenance model considering multiple maintenance effects on the dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    20. Niu, Huifang & Zeng, Jianchao & Shi, Hui & Zhang, Xiaohong & Liang, Jianyu & Shi, Guannan, 2025. "Remaining useful life prediction for multi-component systems with stochastic correlation based on auxiliary particle filter," Reliability Engineering and System Safety, Elsevier, vol. 264(PA).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:eee:reensy:v:256:y:2025:i:c:s0951832024008391. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.