Mixture representations for the reliability of consecutive-k systems

被引：44
作者：
Eryilmaz, Serkan [1 ]
机构：
[1] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 5-6期
关键词：
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;
D O I：
10.1016/j.mcm.2009.12.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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.
引用
收藏
页码：405 / 412
页数：8
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