A New Mixed Δ-Shock Model With a Change in Shock Distribution
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Date
2023
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Volume Title
Publisher
Springer
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Abstract
In this paper, reliability properties of a system that is subject to a sequence of shocks are investigated under a particular new change point model. According to the model, a change in the distribution of the shock magnitudes occurs upon the occurrence of a shock that is above a certain critical level. The system fails when the time between successive shocks is less than a given threshold, or the magnitude of a single shock is above a critical threshold. The survival function of the system is studied under both cases when the times between shocks follow discrete distribution and when the times between shocks follow continuous distribution. Matrix-based expressions are obtained for matrix-geometric discrete intershock times and for matrix-exponential continuous intershock times, as well.
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Keywords
Delta shock model, Mixed shock model, Matrix-geometric distributions, Matrix-exponential distributions, Reliability
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Citation
WoS Q
Q4
Scopus Q
Q2
Source
Volume
31
Issue
3
Start Page
491
End Page
509