Modeling the Availability of a Repairable Series Structure with two Units

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.

• Autores: Rodríguez-Figueredo, Liliana; Calvache-Archila, Álvaro
• Fecha de publicación: 2020
• Institución: Universidad EAFIT
• Repositorio: Repositorio EAFIT
• Idioma: spa
• OAI Identifier: oai:repository.eafit.edu.co:10784/17663
• Acceso en línea: http://hdl.handle.net/10784/17663
• Palabra clave: Work-mission-availability; Semi-Markov model; Markov processes; Integral equations system; Repairable components; Estructura en serie; Disponibilidad; Modelo semimarkoviano; Sistema de ecuaciones integrales; Componentes reparables
• License: Copyright © 2020 Liliana Rodríguez-Figueredo, Álvaro Calvache-Archila