Reliability of Combined k-out-of-n and Consecutive kc-out-of-n Systems of Markov Dependent Components

被引：17

作者：

Demir, Sevcan ^{[1
]}

机构：

[1] Ege Univ, Dept Stat, Izmir, Turkey

来源：

IEEE TRANSACTIONS ON RELIABILITY | 2009年 / 58卷 / 04期

关键词：

Combined k-out-of-n:F(G) & consecutive k(c)-out-of-n:F(G); Markov dependent trials; run statistics; F-SYSTEMS;

D O I：

10.1109/TR.2009.2026816

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

A combined k-out-of-n: F(G) consecutive k-out-of-n:F(G) system fails (functions) iff at least components fail (function), or at least consecutive components fail (function). These models involve two common failure criteria, and can be used in various situations depending on the actual failure criteria involving consecutive components, or all components. Explicit formulas for the reliabilities of these systems are obtained for Markov dependent components using the distribution theory of runs. Some numerical results are also presented.

引用

收藏

页码：691 / 693

页数：3

相关论文

共 14 条

[1] Reliabilities for (n,f,k) systems [J].

Chang, GJ ;

Cui, LR ;

Hwang, FK .

STATISTICS & PROBABILITY LETTERS, 1999, 43 (03) :237-242

[2]

Charalambides CA., 2002, Enumerative combinatorics

[3] On the dual reliability systems of (n, f, k) and ⟨n, f, k⟩ [J].

Cui, Lirong ;

Kuo, Way ;

Li, Jinlin ;

Xie, Min .

STATISTICS & PROBABILITY LETTERS, 2006, 76 (11) :1081-1088

[4] Lifetime of combined k-out-of-n, and consecutive kc-out-of-n systems [J].

Eryilmaz, Serkan .

IEEE TRANSACTIONS ON RELIABILITY, 2008, 57 (02) :331-335

[5] Reliability properties of consecutive k-out-of-n systems of arbitrarily dependent components [J].

Eryilmaz, Serkan .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2009, 94 (02) :350-356

[6] Mean success run length [J].

Eryilmaz, Serkan .

JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2009, 38 (01) :65-71

[7] RELIABILITY OF CONSECUTIVE-K-OUT-OF-N-F-SYSTEMS WITH (K-1)-STEP MARKOV DEPENDENCE [J].

FU, JC .

IEEE TRANSACTIONS ON RELIABILITY, 1986, 35 (05) :602-606

[8] EXACT RELIABILITY FORMULA FOR CONSECUTIVE-K-OUT-OF-N-F SYSTEMS WITH HOMOGENEOUS MARKOV DEPENDENCE [J].

GE, GP ;

WANG, LS .

IEEE TRANSACTIONS ON RELIABILITY, 1990, 39 (05) :600-602

[9] Combined k-out-of-n:G, and consecutive kc-out-of-n:G systems [J].

Gera, AE .

IEEE TRANSACTIONS ON RELIABILITY, 2004, 53 (04) :523-531

[10] A consecutive k-out-of-n:G system with dependent elements -: a matrix formulation and solution [J].

Gera, AE .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2000, 68 (01) :61-67