Consecutive Dual Failure Mode shock systems

In the present article, we introduce a consecutive dual failure mode (DFM) shock system. The proposed structure involves two different types of damage (F1,F2) whenever a shock takes place. The failure of the new DFM shock model comes if and only if an uninterrupted sequence of either kF1’s or rF2’s...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2024-01, Vol.435, p.115318, Article 115318
Main Authors: Koutras, Markos V., Triantafyllou, Ioannis S.
Format: Article
Language:English
Subjects:
Compound run statistics
Dual failure mode systems
Probability generating function
Shock models
Trinary trials
Waiting time variables
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Summary:In the present article, we introduce a consecutive dual failure mode (DFM) shock system. The proposed structure involves two different types of damage (F1,F2) whenever a shock takes place. The failure of the new DFM shock model comes if and only if an uninterrupted sequence of either kF1’s or rF2’s occurs (k≤r). The lifetime TS of the system whom the shock interarrival time follows a discrete distribution is studied by the aid of the waiting time till at least one of the above-mentioned failure criteria is satisfied. Closed formulae are provided for the probability generating function and moments of the distribution of TS, along with a recursive scheme for the calculation of its probability mass function.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2023.115318