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. |
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| 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] |
| Copyright of Reliability Engineering & System Safety is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 185772873 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: 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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Eryilmaz%2C+Serkan%22">Eryilmaz, Serkan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> serkan.eryilmaz@atilim.edu.tr</i><br /><searchLink fieldCode="AR" term="%22Kan%2C+Cihangir%22">Kan, Cihangir</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Reliability+Engineering+%26+System+Safety%22">Reliability Engineering & System Safety</searchLink>. Nov2025, Vol. 263, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22System+failures%22">System failures</searchLink><br /><searchLink fieldCode="DE" term="%22Discrete+systems%22">Discrete systems</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+systems%22">Engineering systems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Reliability Engineering & System Safety is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.ress.2025.111229 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Distribution (Probability theory) Type: general – SubjectFull: System failures Type: general – SubjectFull: Discrete systems Type: general – SubjectFull: Parameter estimation Type: general – SubjectFull: Engineering systems Type: general Titles: – TitleFull: 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. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Eryilmaz, Serkan – PersonEntity: Name: NameFull: Kan, Cihangir IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 09518320 Numbering: – Type: volume Value: 263 Titles: – TitleFull: Reliability Engineering & System Safety Type: main |
| ResultId | 1 |
