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

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 a...

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Veröffentlicht in:Reliability engineering & system safety 2023-06, Vol.234, p.109203, Article 109203
Hauptverfasser: Eryilmaz, Serkan, Unlu, Kamil Demirberk
Format: Artikel
Sprache:eng
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Zusammenfassung: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. •A general delta shock model is introduced.•Approximation for the MTTF of the system.•A link with 1-out-of-(m+1):G cold standby system.
ISSN:0951-8320
1879-0836
DOI:10.1016/j.ress.2023.109203