The Mrl function of the K-Out-Of-N system with nonidentical components in the system level

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dc.contributor.authorBayramoğlu, İsmihan
dc.contributor.authorGürler, Selma
dc.date.accessioned2017-01-06T12:28:07Z
dc.date.available2017-01-06T12:28:07Z
dc.date.issued2006
dc.descriptionhttp://sjam.selcuk.edu.tr/sjam/article/view/171en_US
dc.description.abstractA k-out-of-n system is working if at least k of its n components are operating. The system breaks down at the time of the (n-k+1) th component failure. Since all components start working at the same time, this approach leads to a kind of redundancy called active redundancy of n-k components. Important particular cases of k-out-of-n system are parallel and series systems corresponding to k=1 and k=n, respectively. In this paper, we consider the mean residual life (MRL) function of a parallel and k-out-of-n systems consisting of n components having independent and nonidentically distributed lifetimes. We provide new representations of the MRL function for such systems. The MRL functions of systems consisting of components having exponential and power distributed lifetimes are presented. Also we introduce a numerical example to study the effect of increasing the system level and various parameters on the mean residual life of the systems. Further, the relation between the mean residual life for the system and the mean residual life of its components is investigated.en_US
dc.identifier.citationBayramoğlu, İ., Gürler, S. (2006). The Mrl function of the K-Out-Of-N system with nonidentical components in the system level. Selcuk Journal of Applied Mathematics, 7 (2), 41-54.en_US
dc.identifier.endpage54
dc.identifier.issn1302-7980en_US
dc.identifier.startpage41
dc.identifier.urihttps://hdl.handle.net/20.500.12395/3753
dc.identifier.volume7
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectOrtalama artık ömür fonksiyonuen_US
dc.subjectMean residual life functionen_US
dc.subjectParalel sistemen_US
dc.subjectParallel systemen_US
dc.subjectK-Out-Of-N sistemien_US
dc.subjectK-Out-Of-N systemen_US
dc.titleThe Mrl function of the K-Out-Of-N system with nonidentical components in the system levelen_US
dc.typeArticleen_US

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