Reliability Evaluation for Multi-State Markov Repairable Systems with Redundant Dependencies
Reliability Evaluation for Multi-State Markov Repairable Systems with Redundant Dependencies
复制标题
具有冗余依赖性的多状态马尔可夫可修复系统的可靠性评估
DOI：
10.1080/16843703.2013.11673414
复制
发表时间：
2013-01
影响因子：
2.8
通讯作者：
Jie Zhang
中科院分区：
文献类型：
--
作者：
Liying Wang;Xujie Jia;Jie Zhang
摘要 在具有负载共享的多状态系统中，当某些单元发生故障时，负载将在工作单元之间重新分配。因此，单元之间存在依赖关系。为了模拟这些系统的演化，本文引入了具有冗余依赖性的多状态马尔可夫可修复系统。系统的每个单元允许有两种以上的状态，包括完美工作、恶化和完全失效。每个工作单元的状态转换率是功能单元数量的函数，并通过冗余依赖函数进行量化。提出了一个二维向量，其元素分别表示处于完美和退化运行状态的单元的数量，以准确地描述系统的性能。系统的状态空间根据向量的值被划分为不同的状态集。讨论了指定状态集（可接受、优秀、运行和警告状态集）的访问概率、首次系统故障的时间以及可接受状态集中停留时间的稳态分布。马尔可夫理论和聚合随机过程理论用于获得这些可靠性指标。给出了一个数值例子来说明本文获得的结果。还考虑了系统中冗余依赖关系的影响。
Abstract In multi-state systems with load-sharing, the load will be redistributed among working units while some units go to failure. Hence dependencies exit among units. To model the evolution of these systems, a multi-state Markov repairable system with redundant dependencies is introduced in this paper. More than two states are allowed for each unit of the system, including perfect working, deterioration and complete failure. The state transition rate of each working unit is a function of the number of functioning units and is quantified by a redundant dependence function. A two-dimensional vector, whose elements denote respectively the number of units that are in perfect and degraded operating states, is presented to describe accurately the performance of the system. The state space of the system is divided into distinct state sets according to the value of the vector. The visit probability to a specified state set (the acceptable, excellent, operating and warning state sets), the time to the first system failure and the steady-state distribution of sojourn time in the acceptable state set are discussed. Markov theory and aggregated stochastic process theory are used to get these reliability indices. A numerical example is presented to illustrate the results obtained in the paper. The impact of redundant dependencies in the system is also considered.
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DOI：
10.1016/s0951-8320(03)00121-2
发表时间：
2003-10
期刊：
Reliab. Eng. Syst. Saf.
影响因子：
--
作者：
G. Levitin
通讯作者：
G. Levitin
影响因子：
5.9
作者：
Gang Xiao;Zhizhong Li
通讯作者：
Gang Xiao;Zhizhong Li
影响因子：
--
作者：
Wen-guang Wang;Shijia Du;L. Cui
通讯作者：
Wen-guang Wang;Shijia Du;L. Cui
影响因子：
--
作者：
S. Kotz;C. Lai;M. Xie
通讯作者：
S. Kotz;C. Lai;M. Xie
DOI：
10.1109/tr.2002.801848
发表时间：
2002-11
期刊：
IEEE Trans. Reliab.
影响因子：
--
作者：
J. Vaurio
通讯作者：
J. Vaurio