Developments and Applications of the Finite Markov Chain Imbedding Approach in Reliability

被引：54

作者：

Cui, Lirong ^{[1
]}

Xu, Yu ^{[1
]}

Zhao, Xian ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China

来源：

IEEE TRANSACTIONS ON RELIABILITY | 2010年 / 59卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Finite Markov chain imbedding approach; reliability models; reliability test; system reliability; OUT-OF-N; UP DEMONSTRATION TESTS; F-SYSTEMS; RUNS; DEPENDENCE;

D O I：

10.1109/TR.2010.2054172

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In 1986, Fu proposed the finite Markov chain imbedding approach. Since then, it has played an important role in the analyses of system reliability, such as on reliability computations, importance analyses of components, failure rate function computations, the birth of new reliability system models, and analyses of new reliability tests. We present a survey on the developments and applications of this approach in the reliability field.

引用

页码：685 / 690

页数：6

共 38 条

[1] On the distribution of the total number of run lengths
Antzoulakos, DL
Bersimis, S
Koutras, MV
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2003, 55 (04) : 865 - 884
[2] Two-way handshaking circular sequential k-out-of-n congestion system
Bai, Li
Blasch, Erik
[J]. IEEE TRANSACTIONS ON RELIABILITY, 2008, 57 (01) : 59 - 70
[3] BALAKRISHNAN N., 2002, Runs and Scans with Applications
[4] Developments of the Markov chain approach within the distribution theory of runs
Bartolucci, F
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2001, 36 (01) : 107 - 118
[5] Chadjiconstantinidis S, 1999, NAV RES LOG, V46, P613, DOI 10.1002/(SICI)1520-6750(199909)46:6<613::AID-NAV2>3.0.CO
[6] 2-N
[7] Reliabilities for (n,f,k) systems
Chang, GJ
Cui, LR
Hwang, FK
[J]. STATISTICS & PROBABILITY LETTERS, 1999, 43 (03) : 237 - 242
[8] Chang GJ, 2000, Reliabilities of consecutive-k systems
[9] A LIMIT-THEOREM OF CERTAIN REPAIRABLE SYSTEMS
CHAO, MT
FU, JC
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1989, 41 (04) : 809 - 818
[10] CHAO MT, 1991, ADV APPL PROBAB, V41, P894

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