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Optimum periodic maintenance policy of repairable multi-component system with component reallocation and system overhaul

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  • Fu, Yuqiang
  • Wang, Jun

Abstract

Motived by cost savings, this paper studies a new periodic maintenance policy for multi-component systems, for which multiple component reallocations and system overhauls are jointly implemented aperiodically at fixed times and components are minimally repaired immediately after failures in a life cycle. Different workloads or conditions of different positions can lead to different degradation processes of components, thus component reallocation can be used to balance the degradation between components at different positions, which has been widely studied. System overhaul can improve the conditions of components by imperfect or perfect repair. Component reallocation and system overhaul are mutually dependent and jointly affect the degradation of components and the maintenance cost of a system. In this paper, the failure rate functions of components are modeled using virtual age, and then a binary mixed integer nonlinear programming model is established to determine the optimal time and assignment for component reallocations, and the optimal time and degree for system overhauls by minimizing the long-run average maintenance cost of the system. Further, the number of system overhauls is proved to be finite, and a decomposition method is proposed. Numerical examples are provided to show the effectiveness of the joint of component reallocations and system overhauls.

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  • Fu, Yuqiang & Wang, Jun, 2022. "Optimum periodic maintenance policy of repairable multi-component system with component reallocation and system overhaul," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    • Handle: RePEc:eee:reensy:v:219:y:2022:i:c:s095183202100702x
    DOI: 10.1016/j.ress.2021.108224
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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. Zhu, Xiaoyan & Fu, Yuqiang & Yuan, Tao & Wu, Xinying, 2017. "Birnbaum importance based heuristics for multi-type component assignment problems," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 209-221.
    3. Hui Xiao & Rui Peng & Gregory Levitin, 2016. "Optimal replacement and allocation of multi‐state elements in k‐within‐m‐from‐r/n sliding window systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(2), pages 184-198, March.
    4. Chatwattanasiri, Nida & Coit, David W. & Wattanapongsakorn, Naruemon, 2016. "System redundancy optimization with uncertain stress-based component reliability: Minimization of regret," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 73-83.
    5. Maxim Finkelstein & Ji Hwan Cha, 2021. "Virtual age, is it real? ‐ Discussing virtual age in reliability context," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 37(1), pages 3-16, January.
    6. Ahmad Almuhtady & Seungchul Lee & Edwin Romeijn & Michael Wynblatt & Jun Ni, 2014. "A Degradation-Informed Battery-Swapping Policy for Fleets of Electric or Hybrid-Electric Vehicles," Transportation Science, INFORMS, vol. 48(4), pages 609-618, November.
    7. Fu, Yuqiang & Zhu, Xiaoyan & Ma, Xiaoyang, 2020. "Optimum component reallocation and system replacement maintenance for a used system with increasing minimal repair cost," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    8. Wang, Siqi & Zhao, Xian & Tian, Zhigang & Zuo, Ming J., 2021. "Optimum component reassignment for balanced systems with multi-state components operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    9. Rui Peng & Min Xie & Szu Ng & Gregory Levitin, 2012. "Element maintenance and allocation for linear consecutively connected systems," IISE Transactions, Taylor & Francis Journals, vol. 44(11), pages 964-973.
    10. Qiuzhuang Sun & Zhi-Sheng Ye & Xiaoyan Zhu, 2020. "Managing component degradation in series systems for balancing degradation through reallocation and maintenance," IISE Transactions, Taylor & Francis Journals, vol. 52(7), pages 797-810, July.
    11. Anjos, Miguel F. & Vieira, Manuel V.C., 2017. "Mathematical optimization approaches for facility layout problems: The state-of-the-art and future research directions," European Journal of Operational Research, Elsevier, vol. 261(1), pages 1-16.
    12. Fu, Yuqiang & Yuan, Tao & Zhu, Xiaoyan, 2019. "Importance-measure based methods for component reassignment problem of degrading components," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
    13. Finkelstein, Maxim, 2007. "On statistical and information-based virtual age of degrading systems," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 676-681.
    14. Rui Peng, 2019. "Optimal component allocation in a multi-state system with hierarchical performance sharing groups," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(4), pages 581-587, April.
    15. Zhao, Jiangbin & Si, Shubin & Cai, Zhiqiang, 2019. "A multi-objective reliability optimization for reconfigurable systems considering components degradation," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 104-115.
    16. Zhu, Xiaoyan & Hao, Yaqian, 2021. "Component rearrangement and system replacement for a system with stochastic degradation processes," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    17. Nailong Zhang & Qingyu Yang, 2015. "Optimal maintenance planning for repairable multi-component systems subject to dependent competing risks," IISE Transactions, Taylor & Francis Journals, vol. 47(5), pages 521-532, May.
    18. Xiaoyan Zhu & Yuqiang Fu & Tao Yuan, 2020. "Optimum reassignment of degrading components for non-repairable systems," IISE Transactions, Taylor & Francis Journals, vol. 52(3), pages 349-361, March.
    19. Kamal Deep, 2020. "Machine cell formation for dynamic part population considering part operation trade-off and worker assignment using simulated annealing-based genetic algorithm," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 14(2), pages 189-216.
    20. Xiao‐Gao Liu & Viliam Makis & Andrew K. S. Jardine, 1995. "A replacement model with overhauls and repairs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1063-1079, October.
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    Cited by:

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    5. Jun Wang & Yuyang Wang & Yuqiang Fu, 2023. "Joint Optimization of Condition-Based Maintenance and Performance Control for Linear Multi-State Consecutively Connected Systems," Mathematics, MDPI, vol. 11(12), pages 1-19, June.
    6. Jiang, Renyan & Li, Fengping & Xue, Wei & Cao, Yu & Zhang, Kunpeng, 2023. "A robust mean cumulative function estimator and its application to overhaul time optimization for a fleet of heterogeneous repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    7. Fu, Yuqiang & Zhu, Xiaoyan, 2023. "A joint age-based system replacement and component reallocation maintenance policy: Optimization, analysis and resilience," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    8. 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).

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