Reliability properties of \(k\)-out-of-\(n\) systems with one cold standby unit

DOI10.1016/j.cam.2020.113289zbMath1459.62190arXiv1911.11818OpenAlexW3108953729MaRDI QIDQ2223857

Nikolay I. Nikolov, Anna Dembińska, Eugenia Stoimenova

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11818

zbMATH Keywords

order statisticsreliability theoryresidual lifetime\(k\)-out-of-\(n\) systemcold standby unitdiscrete lifetime distribution

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)

Related Items (12)

On the status of component failures in a working coherent system when the lifetimes are DNID random variables ⋮ On the number of failed components in a coherent system consisting of multiple types of components ⋮ Maximum likelihood estimators based on discrete component lifetimes of a \(k\)-out-of-\(n\) system ⋮ Age replacement policy for heterogeneous parallel systems ⋮ Likelihood inference for geometric lifetimes of components of \(k\)-out-of-\(n\) systems ⋮ On the phase transition of \(k\)-out-of-\(n\) systems with applications to optimal maintenance ⋮ Optimal age replacement policy for discrete time parallel systems ⋮ On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes ⋮ The number of failed components in a coherent working system when the lifetimes are discretely distributed ⋮ Some conditional reliability properties of \(k\)-out-of-\(n\) system composed of different types of components with discrete independent lifetimes ⋮ Reliability analysis of a new family mixed shock models for the multi-state systems ⋮ State space and binary decision diagram models for discrete standby systems with multistate components

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