Reliability and optimal replacement policy for a generalized mixed shock model
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Murat Ozkut [1]
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[1] İzmir University of Economics
İzmir University of Economics
Turquía
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- Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 32, Nº. 3, 2023, págs. 1038-1054
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
A generalized mixed shock model, which mixes two run shock models, is developed and analyzed. According to the model, the system subject to both internal degradation and external shocks fails upon the occurrence of consecutive shocks whose magnitude is between predefined critical values of and such that , o consecutive shocks whose magnitude is above. The system’s reliability, mean time to failure, and mean residual lifetime are all calculated under the assumption that the lifetime of the system due to internal wear and external shock arrival times follows a phase-type distribution. The best policy for replacement is also discussed. There are also graphical representations and numerical examples for the proposed model, in which both lifetime distribution of internal degradation and the interarrival periods between external shocks follow the Erlang distribution.
