Asymptotic reliability analysis of the system with N working elements and repairing device

2020/02/25 by E. A. Golovastova, Golovastova, E. A.
Engineering · Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Approximation and Integration #Reliability and Maintenance Optimization #Statistical Distribution Estimation and Applications

paper · pdf · doi:10.48550/arxiv.2003.01522

openalex publication_date 2020/02/25 · openalex created_date 2020/03/13 · openalex updated_date 2026/07/28

Abstract

This paper deals with system with n identical elements and one repairing device. While one element working other ones stay in reserve. The distribution of element working and repairing times are supposed to be exponential. Here we obtain the asymptotic distribution of the system lifetime under conditions of its high reliability.

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