Reliability properties of consecutive k-out-of-n systems of arbitrarily dependent components

被引：72
作者：
Eryilmaz, Serkan [1 ]
机构：
[1] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey
来源：
RELIABILITY ENGINEERING & SYSTEM SAFETY | 2009年 / 94卷 / 02期
关键词：
Arbitrarily dependent lifetimes; Exchangeable lifetimes; Meantime to failure; Failure rate; Mean residual lifetime; (K-1)-STEP MARKOV DEPENDENCE; LIFETIME DISTRIBUTION; COHERENT SYSTEMS; F-SYSTEMS; COMMON ENVIRONMENT; MULTIVARIATE DISTRIBUTIONS; EXCHANGEABLE LIFETIMES; ORDER-STATISTICS; FAILURE; DESIGN;
D O I：
10.1016/j.ress.2008.03.027
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the reliability properties of consecutive k-out-of-n systems with arbitrarily dependent components are studied. For 2k >= n we present efficient formulas to compute the reliability characteristics such as meantime to failure, failure rate, and mean residual lifetime. Approximations for the survival functions when 1 <= k <= n are also provided. The results are illustrated for the multivariate survival distribution generated by a Weibull and Inverse-Gaussian mixture. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：350 / 356
页数：7
相关论文
共 34 条
[1]   Lifetime distribution and estimation problems of consecutive-k-out-of-n:F systems [J].
Aki, S ;
Hirano, K .
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1996, 48 (01) :185-199
[2]   Stochastic ordering results for consecutive k-out-of-n:F systems [J].
Boland, PJ ;
Samaniego, FJ .
IEEE TRANSACTIONS ON RELIABILITY, 2004, 53 (01) :7-10
[3]   Active redundancy allocation for a k-out-of-n:F system of dependent components [J].
Bueno, Vanderlei da Costa ;
do Carmo, Iran Martins .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 176 (02) :1041-1051
[4]   SURVEY OF RELIABILITY STUDIES OF CONSECUTIVE-K-OUT-OF-N-F AND RELATED SYSTEMS [J].
CHAO, MT ;
FU, JC ;
KOUTRAS, MV .
IEEE TRANSACTIONS ON RELIABILITY, 1995, 44 (01) :120-127
[5]   FAILURE DISTRIBUTIONS OF CONSECUTIVE-K-OUT-OF-N - F-SYSTEMS [J].
CHEN, RW ;
HWANG, FK .
IEEE TRANSACTIONS ON RELIABILITY, 1985, 34 (04) :338-341
[6]  
Costigan TM, 1996, NAV RES LOG, V43, P59, DOI 10.1002/(SICI)1520-6750(199602)43:1<59::AID-NAV4>3.0.CO
[7]  
2-M
[8]   Analytical method for reliability and MTTF assessment of coherent systems with dependent components [J].
Cui, Lirong ;
Li, Haijun .
RELIABILITY ENGINEERING & SYSTEM SAFETY, 2007, 92 (03) :300-307
[9]   On the lifetime distribution of consecutive k-out-of-n: F system [J].
Eryilmaz, Serkan .
IEEE TRANSACTIONS ON RELIABILITY, 2007, 56 (01) :35-39
[10]  
Fu JC, 2003, Distribution Theory of Runs and Patterns and Its Applications
1234