A new generalized δ-shock model and its application to 1-out-of-(<i>m</i>+1):G cold standby system
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Date
2023
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Publisher
Elsevier Sci Ltd
Abstract
According to the classical delta-shock model, the system failure occurs upon the occurrence of a new shock that arrives in a time length less than delta, a given positive value. In this paper, a new generalized version of the delta-shock model is introduced. Under the proposed model, the system fails if there are m shocks that arrive in a time length less than delta 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.
Description
Ünlü, Kamil Demirberk/0000-0002-2393-6691; Eryilmaz, Serkan/0000-0002-2108-1781
Keywords
Cold standby system, MTTF, Shock model, Phase-type distribution
Turkish CoHE Thesis Center URL
Citation
8
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Q1
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Volume
234