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A new generalized δ-shock model and its application to 1-out-of-(m+1):G cold standby system

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  • Eryilmaz, Serkan
  • Unlu, Kamil Demirberk

Abstract

According to the classical δ-shock model, the system failure occurs upon the occurrence of a new shock that arrives in a time length less than δ, a given positive value. In this paper, a new generalized version of the δ-shock model is introduced. Under the proposed model, the system fails if there are m shocks that arrive in a time length less than δ after a previous shock, m≥1. The mean time to failure of the system is approximated for both discretely and continuously distributed intershock time distributions. The usefulness of the model is also shown to study 1-out-of-(m+1):G cold standby system. Illustrative numerical results are presented for geometric, exponential, discrete and continuous phase-type intershock time distributions.

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  • 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).
    • Handle: RePEc:eee:reensy:v:234:y:2023:i:c:s0951832023001187
    DOI: 10.1016/j.ress.2023.109203
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