On a Markov chain approach for the study of reliability structures

Author:

Koutras M. V.

Abstract

In this paper we consider a class of reliability structures which can be efficiently described through (imbedded in) finite Markov chains. Some general results are provided for the reliability evaluation and generating functions of such systems. Finally, it is shown that a great variety of well known reliability structures can be accommodated in this general framework, and certain properties of those structures are obtained on using their Markov chain imbedding description.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference28 articles.

1. Generating functions and reliabilities for consecutive-k-out-of-n: F systems;Goulden;Util. Math.,1987

2. Non-negative Matrices and Markov Chains

3. An algorithm for computing the reliability of a weighted-k-out-of-n system;Wu;IEEE Trans. Reliab.,1994a

4. Reliability of Consecutive-k-out-of-n:F Systems with (k-1)-step Markov Dependence

5. The reliability of a large series system under Markov structure

Cited by 71 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Discrete time three-state k-out-of-n system’s failure and numbers of components in each state;Journal of Computational and Applied Mathematics;2025-03

2. Waiting for Scans Containing Two Successes;Handbook of Scan Statistics;2024

3. Reliability analyses of linear two-dimensional consecutive k-type systems;Journal of Applied Probability;2023-08-14

4. Reliability Function of the Connected-(2,2)-out-of-(m,n): F Linear and Circular System Using Markov Chain;2023 International Conference on Information Technology (ICIT);2023-08-09

5. Reliability of three-dimensional consecutive k-type systems;Reliability Engineering & System Safety;2023-05

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3