Mixture Representations for the Reliability of Consecutive-K Systems
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Date
2010
Authors
Eryılmaz, Serkan
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-Elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
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No
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Top 10%
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Top 10%
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Top 10%
Abstract
In this paper, we obtain representations for the reliability of consecutive type systems as a mixture of the reliability of order statistics whenever the systems consist of exchangeable components. The representations enable us to compute the reliability of linear and circular consecutive systems in a simple way. Furthermore the limiting behaviour of these systems can be evaluated and stochastic ordering results can be established with the help of these mixture representations. (C) 2009 Elsevier Ltd. All rights reserved.
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ORCID
Keywords
Consecutive k-out-of-n system, Consecutive k-within-m-out-of-n system, Maximal signature, Minimal signature, Order statistics, System reliability, System signature, Out-Of-N, F System, Coherent Systems, Dependent Components, Exchangeable Components, Simulation, Signatures, Reliability and life testing, consecutive \(k\)-out-of-\(n\) system, system signature, minimal signature, system reliability, Reliability, availability, maintenance, inspection in operations research, order statistics, Inequalities; stochastic orderings, consecutive \(k\)-within-\(m\)-out-of-\(n\) system, maximal signature
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
N/A
OpenCitations Citation Count
44
Source
Mathematıcal And Computer Modellıng
Volume
51
Issue
5.Haz
Start Page
405
End Page
412
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CrossRef : 33
Scopus : 49
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