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Coherent systems subject to multiple shocks with applications to preventative maintenance

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  • Zarezadeh, Somayeh
  • Asadi, Majid

Abstract

This article is a study on the reliability and preventive maintenance of the coherent systems whose components are subject to failure according to multiple external shocks. We consider an n-component coherent system in which the components are categorized to L different batches, 2 ≤ L ≤ n. It will assume that the components of the batches are subject to failure according to independent external shocks arriving based on independent counting processes. Under this model of components failure, we obtain the survival signature based reliability function of the system lifetime. Then, we investigate the optimal time of preventive maintenance of the system by imposing some cost functions and some criteria on the stationary availability of the system. In order to illustrate the results, some examples have presented in which the failure of components in different batches occur due to the external shocks which arrive according to independent nonhomogeneous Poisson processes with different mean value functions.

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  • Zarezadeh, Somayeh & Asadi, Majid, 2019. "Coherent systems subject to multiple shocks with applications to preventative maintenance," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 124-132.
    • Handle: RePEc:eee:reensy:v:185:y:2019:i:c:p:124-132
    DOI: 10.1016/j.ress.2018.12.012
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    1. Hashemi, M. & Asadi, M. & Zarezadeh, S., 2020. "Optimal maintenance policies for coherent systems with multi-type components," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    2. Adithya Thaduri, 0. "Nowcast models for train delays based on the railway network status," 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. 0, pages 1-12.
    3. Eryilmaz, Serkan & Kan, Cihangir, 2019. "Reliability and optimal replacement policy for an extreme shock model with a change point," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
    4. 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).
    5. Zarezadeh, Somayeh & Ashrafi, Somayeh, 2019. "On preventive maintenance of networks with components subject to external shocks," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    6. Rusnak, Patrik & Zaitseva, Elena & Levashenko, Vitaly & Bolvashenkov, Igor & Kammermann, Jörg, 2024. "Importance analysis of a system based on survival signature by structural importance measures," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    7. Maryam Kelkinnama & Serkan Eryilmaz, 2023. "Some reliability measures and maintenance policies for a coherent system composed of different types of components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(1), pages 57-82, January.
    8. Hamdan, K. & Tavangar, M. & Asadi, M., 2021. "Optimal preventive maintenance for repairable weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    9. Adithya Thaduri, 2020. "Nowcast models for train delays based on the railway network status," 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. 11(2), pages 184-195, July.

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