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

Serkan Eryilmaz and Kamil Demirberk Unlu

Reliability Engineering and System Safety, 2023, vol. 234, issue C

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.

Keywords: Cold standby system; MTTF; Shock model; Phase-type distribution (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:234:y:2023:i:c:s0951832023001187

DOI: 10.1016/j.ress.2023.109203

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