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The mean number of failed components in discrete time consecutive [formula omitted]-out-of-[formula omitted]: F system and its application to parameter estimation and optimal age-based preventive replacement.

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Title: The mean number of failed components in discrete time consecutive [formula omitted]-out-of-[formula omitted]: F system and its application to parameter estimation and optimal age-based preventive replacement.
Authors: Eryilmaz, Serkan1 (AUTHOR) serkan.eryilmaz@atilim.edu.tr, Kan, Cihangir2 (AUTHOR)
Source: Reliability Engineering & System Safety. Nov2025, Vol. 263, pN.PAG-N.PAG. 1p.
Subjects: Distribution (Probability theory), System failures, Discrete systems, Parameter estimation, Engineering systems
Abstract: It is important in many respects to have information about the number of failed components in the system when or before a system fails. This paper investigates the mean number of failed components at or before the failure time of the linear consecutive k -out-of- n :F system which is a useful structure to model various engineering systems such as transportation and transmission systems. In particular, closed form expressions for the mean number of failed components within the system that have discretely distributed components lifetimes are obtained. The results are used to estimate the unknown parameter of the components' lifetime distribution and to find the optimal replacement cycle that minimizes the expected cost per unit of time under a certain age-based replacement policy. • Discrete time consecutive k-out-of-n:F system is studied. • The mean number of failed components upon system failure. • The findings are used for an estimation problem. • The results are used for an optimal age replacement policy. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:It is important in many respects to have information about the number of failed components in the system when or before a system fails. This paper investigates the mean number of failed components at or before the failure time of the linear consecutive k -out-of- n :F system which is a useful structure to model various engineering systems such as transportation and transmission systems. In particular, closed form expressions for the mean number of failed components within the system that have discretely distributed components lifetimes are obtained. The results are used to estimate the unknown parameter of the components' lifetime distribution and to find the optimal replacement cycle that minimizes the expected cost per unit of time under a certain age-based replacement policy. • Discrete time consecutive k-out-of-n:F system is studied. • The mean number of failed components upon system failure. • The findings are used for an estimation problem. • The results are used for an optimal age replacement policy. [ABSTRACT FROM AUTHOR]
ISSN:09518320
DOI:10.1016/j.ress.2025.111229