Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/1332
Title: Mixture representations for the reliability of consecutive-k systems
Authors: Eryılmaz, Serkan
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
Publisher: Pergamon-Elsevier Science Ltd
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.
URI: https://doi.org/10.1016/j.mcm.2009.12.007
https://hdl.handle.net/20.500.14365/1332
ISSN: 0895-7177
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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