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Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations

Author

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  • Abdelhakim Khatab
  • EL Houssaine Aghezzaf
  • Claver Diallo
  • Imene Djelloul

Abstract

This paper deals with the selective maintenance problem for a multi-component system performing consecutive missions separated by scheduled breaks. To increase the probability of successfully completing its next mission, the system components are maintained during the break. A list of potential imperfect maintenance actions on each component, ranging from minimal repair to replacement is available. The general hybrid hazard rate approach is used to model the reliability improvement of the system components. Durations of the maintenance actions, the mission and the breaks are stochastic with known probability distributions. The resulting optimisation problem is modelled as a non-linear stochastic programme. Its objective is to determine a cost-optimal subset of maintenance actions to be performed on the components given the limited stochastic duration of the break and the minimum system reliability level required to complete the next mission. The fundamental concepts and relevant parameters of this decision-making problem are developed and discussed. Numerical experiments are provided to demonstrate the added value of solving this selective maintenance problem as a stochastic optimisation programme.

Suggested Citation

  • Abdelhakim Khatab & EL Houssaine Aghezzaf & Claver Diallo & Imene Djelloul, 2017. "Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations," International Journal of Production Research, Taylor & Francis Journals, vol. 55(10), pages 3008-3024, May.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:10:p:3008-3024
    DOI: 10.1080/00207543.2017.1290295
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    1. Toshio Nakagawa, 2008. "Advanced Reliability Models and Maintenance Policies," Springer Series in Reliability Engineering, Springer, number 978-1-84800-294-4, February.
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    1. Liu, Lujie & Yang, Jun & Kong, Xuefeng & Xiao, Yiyong, 2022. "Multi-mission selective maintenance and repairpersons assignment problem with stochastic durations," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    2. Zhou, Yu & Zheng, Ran, 2024. "Capacity-based daily maintenance optimization of urban bus with multi-objective failure priority ranking," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    3. Liu, Yu & Chen, Yiming & Jiang, Tao, 2018. "On sequence planning for selective maintenance of multi-state systems under stochastic maintenance durations," European Journal of Operational Research, Elsevier, vol. 268(1), pages 113-127.
    4. Diallo, Claver & Venkatadri, Uday & Khatab, Abdelhakim & Liu, Zhuojun, 2018. "Optimal selective maintenance decisions for large serial k-out-of-n: G systems under imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 234-245.
    5. Ghorbani, Milad & Nourelfath, Mustapha & Gendreau, Michel, 2022. "A two-stage stochastic programming model for selective maintenance optimization," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    6. Zhou, Xiaojun & Ning, Xiaohan, 2021. "Maintenance gravity window based opportunistic maintenance scheduling for multi-unit serial systems with stochastic production waits," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    7. Xia, Tangbin & Sun, Bowen & Chen, Zhen & Pan, Ershun & Wang, Hao & Xi, Lifeng, 2021. "Opportunistic maintenance policy integrating leasing profit and capacity balancing for serial-parallel leased systems," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    8. 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.
    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. A. Khatab & C. Diallo & E.-H. Aghezzaf & U. Venkatadri, 2022. "Optimization of the integrated fleet-level imperfect selective maintenance and repairpersons assignment problem," Journal of Intelligent Manufacturing, Springer, vol. 33(3), pages 703-718, March.
    11. 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).
    12. 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).
    13. Hamzea Al-Jabouri & Ahmed Saif & Claver Diallo, 2023. "Robust selective maintenance optimization of series–parallel mission-critical systems subject to maintenance quality uncertainty," Computational Management Science, Springer, vol. 20(1), pages 1-31, December.
    14. Xisheng Jia & Wenbin Cao & Qiwei Hu, 2019. "Selective maintenance optimization for random phased-mission systems subject to random common cause failures," Journal of Risk and Reliability, , vol. 233(3), pages 379-400, June.
    15. Wang, Jinhe & Zhang, Xiaohong & Zeng, Jianchao & Zhang, Yunzheng, 2020. "Joint external and internal opportunistic optimisation for wind turbine considering wind velocity," Renewable Energy, Elsevier, vol. 159(C), pages 380-398.
    16. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    17. Dilaver, Halit Metehan & Akçay, Alp & van Houtum, Geert-Jan, 2023. "Integrated planning of asset-use and dry-docking for a fleet of maritime assets," International Journal of Production Economics, Elsevier, vol. 256(C).

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