Dynamic Reliability Evaluation of Consecutive-k-Within-m-Out-of-n:F System

被引:12
作者
Eryilmaz, Serkan [1 ]
Kan, Cihangir [2 ]
机构
[1] Atilim Univ, Dept Ind Engn, Ankara, Turkey
[2] Izmir Univ Econ, Dept Math, Izmir, Turkey
关键词
Consecutive k-out-of-n:F system; Consecutive k-within-m-out-of-n:F system; Exchangeable lifetimes; Failure rate; Mean residual life; Mixtures; Signature; Stochastic ordering; COHERENT SYSTEMS; DEPENDENT COMPONENTS; EXCHANGEABLE COMPONENTS; ORDER-STATISTICS; N SYSTEM; SIGNATURES; LIFETIMES; MIXTURES; BOUNDS;
D O I
10.1080/03610918.2010.530366
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. This system model generalizes both consecutive k-out-of-n:F and k-out-of-n:F systems. In this article, we study the dynamic reliability properties of consecutive k-within-m-out-of-n:F system consisting of exchangeable dependent components. We also obtain some stochastic ordering results and use them to get simple approximation formulae for the survival function and mean time to failure of this system.
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页码:70 / 83
页数:14
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