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Joint optimization of maintenance and spares inventory policies for a series system with multiple voting subsystems supported by protective devices

Author

Listed:
  • Ru Ning
  • Xiaoyue Wang
  • Xian Zhao
  • Siqi Wang

Abstract

The joint optimization of maintenance and spares inventory policies is a momentous topic in engineering domain due to its benefit for improving the system reliability. Equipping systems with protective devices is another effective way to enhance system reliability which has aroused the research interest of scholars in recent years. However, the joint optimization problem of maintenance and spare parts inventory for systems with protective devices has not been attached importance. Therefore, this paper develops a joint optimization model of maintenance and spares inventory strategies for a series system with multiple voting subsystems supported by protective devices. Internal degradation and external shocks are taken into consideration simultaneously to cause the deterioration of the system and devices. A limited number of repairmen is considered, and ( s, S ) inventory policy is adopted for protective devices as well as each type of units. By applying the Markov process imbedding approach, system steady probability and relevant reliability probability indices including system availability, spares availability, and repairmen availability are obtained. The objective of developed joint optimization model is to derive the optimal repairmen allocation and spares inventory policies such that the system availability can be maximized while meeting the cost requirement. Finally, numerical examples based on the automobile engine system with cooling systems are presented to validate the superiority of the proposed joint policy of maintenance and spares inventory.

Suggested Citation

  • Ru Ning & Xiaoyue Wang & Xian Zhao & Siqi Wang, 2025. "Joint optimization of maintenance and spares inventory policies for a series system with multiple voting subsystems supported by protective devices," Journal of Risk and Reliability, , vol. 239(1), pages 79-96, February.
  • Handle: RePEc:sae:risrel:v:239:y:2025:i:1:p:79-96
    DOI: 10.1177/1748006X231219728
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    References listed on IDEAS

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    1. 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).
    2. Xiaoyue Wang & Jingxuan Wang & Ru Ning & Xi Chen, 2023. "Joint Optimization of Maintenance and Spare Parts Inventory Strategies for Emergency Engineering Equipment Considering Demand Priorities," Mathematics, MDPI, vol. 11(17), pages 1-18, August.
    3. Wang, Jun & Zhu, Xiaoyan, 2021. "Joint optimization of condition-based maintenance and inventory control for a k-out-of-n:F system of multi-state degrading components," European Journal of Operational Research, Elsevier, vol. 290(2), pages 514-529.
    4. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Wu, Congshan, 2023. "Reliability assessments for two types of balanced systems with multi-state protective devices," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    5. Zhang, Jian-Xun & Du, Dang-Bo & Si, Xiao-Sheng & Hu, Chang-Hua & Zhang, Han-Wen, 2021. "Joint optimization of preventive maintenance and inventory management for standby systems with hybrid-deteriorating spare parts," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    6. Wang, Xiaoyue & Zhao, Xian & Wu, Congshan & Wang, Siqi, 2022. "Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    7. Zhao, Xian & Dong, Bingbing & Wang, Xiaoyue, 2023. "Reliability analysis of a two-dimensional voting system equipped with protective devices considering triggering failures," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    8. Cha, Guesik & Park, Junseok & Moon, Ilkyeong, 2023. "Military aircraft flight and maintenance planning model considering heterogeneous maintenance tasks," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    9. Eryilmaz, Serkan, 2020. "Age-based preventive maintenance for coherent systems with applications to consecutive-k-out-of-n and related systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    10. Godoy, David R. & Pascual, Rodrigo & Knights, Peter, 2013. "Critical spare parts ordering decisions using conditional reliability and stochastic lead time," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 199-206.
    11. Xiao, Hui & Lin, Chen & Kou, Gang & Peng, Rui, 2022. "Reliability modeling and configuration optimization of a photovoltaic based electric power generation system," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    12. 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.
    13. Huynh, K.T., 2020. "Modeling past-dependent partial repairs for condition-based maintenance of continuously deteriorating systems," European Journal of Operational Research, Elsevier, vol. 280(1), pages 152-163.
    14. Zhao, Xian & Qi, Xin & Wang, Xiaoyue, 2023. "Reliability assessment for coherent systems operating under a generalized mixed shock model with multiple change points of the environment," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    15. Olde Keizer, Minou C.A. & Teunter, Ruud H. & Veldman, Jasper, 2017. "Joint condition-based maintenance and inventory optimization for systems with multiple components," European Journal of Operational Research, Elsevier, vol. 257(1), pages 209-222.
    16. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Zhou, Jian, 2022. "Reliability analyses of k-out-of-n: F capability-balanced systems in a multi-source shock environment," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    17. Panagiotidou, Sofia, 2014. "Joint optimization of spare parts ordering and maintenance policies for multiple identical items subject to silent failures," European Journal of Operational Research, Elsevier, vol. 235(1), pages 300-314.
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