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System reliability under δ-shock model

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  • Altan Tuncel
  • Serkan Eryilmaz

Abstract

δ-shock model is one of the widely studied shock models in reliability. Under this model, the system fails when the time between two consecutive shocks falls below a fixed threshold δ. In this paper, the survival function and the mean time to failure of the system are obtained when the times between successive shocks follow proportional hazard rate model.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:19:p:4872-4880
    DOI: 10.1080/03610926.2018.1459708
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    Cited by:

    1. 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.
    2. Dheeraj Goyal & Nil Kamal Hazra & Maxim Finkelstein, 2022. "On the Time-Dependent Delta-Shock Model Governed by the Generalized PóLya Process," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1627-1650, September.

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