Modeling the Availability of a Repairable Series Structure with two Units

Authors

DOI:

https://doi.org/10.17230/ingciencia.16.31.3

Keywords:

Work-mission-availability, semi-Markov model, Markov processes, integral equations system, repairable components

Abstract

When there is a structure with two serial components where each one owns a life time that is distributed exponentially and both of the components are repairable, it is established a renovation process, in which both components need to be working in order for the operation of the structure. It is observed that the renovation process evidences a semimarkovian behavior and it is shown that through this one, its availability function is one of the inquiries of a system of integral equations that is solved by a numerical method designed for that purpose. The novelty in this article is that it is considered a process whose state space includes repair time, which is useful in engineering applications.

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Author Biography

  • Liliana Rodríguez-Figueredo, Universidad Pedagógica y Tecnológica de Colombia

    Magíster en Matemáticas Aplicadas 

References

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Published

2020-06-19

Issue

Vol. 16 No. 31 (2020)

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How to Cite

Rodríguez-Figueredo, L., & Calvache-Archila, Á. (2020). Modeling the Availability of a Repairable Series Structure with two Units. Ingeniería Y Ciencia, 16(31), 53-76. https://doi.org/10.17230/ingciencia.16.31.3