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On the reliability and optimal maintenance of systems under a generalized mixed δ -shock model

Author

Listed:
  • Mohsen Bohlooli-Zefreh
  • Majid Asadi
  • Afshin Parvardeh

Abstract

This article is a study on the reliability characteristics of a system under a failure model called the generalized mixed δ -shock model. We assume that the system is subject to shocks according to a stochastic process. Each shock may cause some damage to the system. The system fails either the magnitude of the damage caused by a shock exceeds a threshold γ 2 or the time between two consecutive shocks is less than a pre-specified threshold δ and simultaneously magnitude of the damage is bigger than a pre-specified critical threshold γ 1 ( γ 1

Suggested Citation

  • Mohsen Bohlooli-Zefreh & Majid Asadi & Afshin Parvardeh, 2021. "On the reliability and optimal maintenance of systems under a generalized mixed δ -shock model," Journal of Risk and Reliability, , vol. 235(5), pages 909-922, October.
    • Handle: RePEc:sae:risrel:v:235:y:2021:i:5:p:909-922
    DOI: 10.1177/1748006X211002306
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    References listed on IDEAS

    as
    1. Yi Jiang, 2020. "A new δ-shock model for systems subject to multiple failure types and its optimal order-replacement policy," Journal of Risk and Reliability, , vol. 234(1), pages 138-150, February.
    2. Hamed Lorvand & Alireza Nematollahi & Mohammad Hossien Poursaeed, 2020. "Life distribution properties of a new δ - shock model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(12), pages 3010-3025, June.
    3. Xiaolin Liang & Yeh Lam & Zehui Li, 2011. "Optimal replacement policy for a general geometric process model with δ-shock," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 2021-2034.
    4. Altan Tuncel & Serkan Eryilmaz, 2018. "System reliability under δ-shock model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(19), pages 4872-4880, October.
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    Cited by:

    1. Chadjiconstantinidis, Stathis & Eryilmaz, Serkan, 2024. "On δ-shock model with a change point in intershock time distribution," Statistics & Probability Letters, Elsevier, vol. 208(C).
    2. Eryilmaz, Serkan & Unlu, Kamil Demirberk, 2023. "A new generalized δ-shock model and its application to 1-out-of-(m+1):G cold standby system," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    3. 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).

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