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Optimal replacement policy for safety-related multi-component multi-state systems

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  • Xu, Ming
  • Chen, Tao
  • Yang, Xianhui

Abstract

This paper investigates replacement scheduling for non-repairable safety-related systems (SRS) with multiple components and states. The aim is to determine the cost-minimizing time for replacing SRS while meeting the required safety. Traditionally, such scheduling decisions are made without considering the interaction between the SRS and the production system under protection, the interaction being essential to formulate the expected cost to be minimized. In this paper, the SRS is represented by a non-homogeneous continuous time Markov model, and its state distribution is evaluated with the aid of the universal generating function. Moreover, a structure function of SRS with recursive property is developed to evaluate the state distribution efficiently. These methods form the basis to derive an explicit expression of the expected system cost per unit time, and to determine the optimal time to replace the SRS. The proposed methodology is demonstrated through an illustrative example.

Suggested Citation

  • Xu, Ming & Chen, Tao & Yang, Xianhui, 2012. "Optimal replacement policy for safety-related multi-component multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 99(C), pages 87-95.
    • Handle: RePEc:eee:reensy:v:99:y:2012:i:c:p:87-95
    DOI: 10.1016/j.ress.2011.11.010
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    References listed on IDEAS

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    6. Wang, Wenbin & Banjevic, Dragan & Pecht, Michael, 2010. "A multi-component and multi-failure mode inspection model based on the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 912-920.
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    Citations

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    Cited by:

    1. de Jonge, Bram & Klingenberg, Warse & Teunter, Ruud & Tinga, Tiedo, 2016. "Reducing costs by clustering maintenance activities for multiple critical units," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 93-103.
    2. Sheu, Shey-Huei & Chang, Chin-Chih & Chen, Yen-Luan & George Zhang, Zhe, 2015. "Optimal preventive maintenance and repair policies for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 78-87.
    3. Lei Zhang & Yifan Zhou & Chuanhui Huang, 2017. "An approximate hybrid approach to maintenance optimisation for a system with multistate components," 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. 8(1), pages 189-196, March.
    4. Dui, Hongyan & Zhang, Chi & Tian, Tianzi & Wu, Shaomin, 2022. "Different costs-informed component preventive maintenance with system lifetime changes," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    5. Zhuoqi Zhang & Su Wu & Binfeng Li & Seungchul Lee, 2015. "(, ) type maintenance policy for multi-component systems with failure interactions," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1051-1064, April.

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