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On preventive maintenance of networks with components subject to external shocks

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  • Zarezadeh, Somayeh
  • Ashrafi, Somayeh

Abstract

In this paper, we consider a network consisting of n components in which the components are subject to shocks arriving based on a counting process. At the occurrence time of each shock, some of components may fail and hence the network fails due to one of these shocks. We propose some preventive maintenance (PM) models based on the notion of t-signature. The proposed PM models are aged-based models relying on the cost and availability criteria. We also extend a time-free PM model which is known as shock-based PM model and explore the number of shocks that minimizes the mean cost per one shock. The advantage of this time-free PM model is that it does not depend on the process of occurrence of the shocks. Some examples are also provided to illustrate the applications of the proposed PM models.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:191:y:2019:i:c:s0951832018315692
    DOI: 10.1016/j.ress.2019.106559
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    References listed on IDEAS

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    1. Maxim Finkelstein & Ilya Gertsbakh, 2016. "On preventive maintenance of systems subject to shocks," Journal of Risk and Reliability, , vol. 230(2), pages 220-227, April.
    2. 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.
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    4. Huang, Xianzhen & Jin, Sujun & He, Xuefeng & He, David, 2019. "Reliability analysis of coherent systems subject to internal failures and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 75-83.
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    6. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael & del Carmen Segovia, Maria, 2009. "Replacement policy in a system under shocks following a Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 497-502.
    7. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2017. "On preventive maintenance of systems with lifetimes dependent on a random shock process," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 90-97.
    8. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2018. "Bivariate preventive maintenance of systems with lifetimes dependent on a random shock process," European Journal of Operational Research, Elsevier, vol. 266(1), pages 122-134.
    9. Zhao, Xian & Guo, Xiaoxin & Wang, Xiaoyue, 2018. "Reliability and maintenance policies for a two-stage shock model with self-healing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 185-194.
    10. Maxim Finkelstein & Ilya Gertsbakh, 2015. "‘Time‐free’ preventive maintenance of systems with structures described by signatures," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(6), pages 836-845, November.
    11. Fan, Mengfei & Zeng, Zhiguo & Zio, Enrico & Kang, Rui, 2017. "Modeling dependent competing failure processes with degradation-shock dependence," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 422-430.
    12. Maxim Finkelstein & Ilya Gertsbakh, 2016. "Preventive maintenance of multistate systems subject to shocks," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(2), pages 283-291, March.
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    14. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    15. Yang, Li & Ma, Xiaobing & Peng, Rui & Zhai, Qingqing & Zhao, Yu, 2017. "A preventive maintenance policy based on dependent two-stage deterioration and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 201-211.
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    Cited by:

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    2. María Luz Gámiz & Delia Montoro-Cazorla & María del Carmen Segovia-García & Rafael Pérez-Ocón, 2022. "MoMA Algorithm: A Bottom-Up Modeling Procedure for a Modular System under Environmental Conditions," Mathematics, MDPI, vol. 10(19), pages 1-19, September.

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