Reliability evaluation of multi-component cold-standby redundant systems
Reliability evaluation of multi-component cold-standby redundant systems
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DOI：
10.1016/j.amc.2005.02.051
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发表时间：
2006-02-01
影响因子：
4
通讯作者：
Sakawa, M
中科院分区：
文献类型：
--
作者：
Azaron, A;Katagiri, H;Sakawa, M
本文介绍了一种单异机不可修复冷备用冗余系统可靠性评估的新方法。每个单元由许多具有广义 Erlang 生命周期分布的独立组件组成，并以任何通用配置排列。我们还将所提出的模型扩展到一般类型的非恒定风险函数。为了评估系统可靠性，我们构建了一个具有指数分布弧长的有向随机网络，其中该网络的每条路径对应于系统可靠性图的特定最小割。然后，我们提出了一种解析方法来求解所得到的微分方程组并获得备用系统的可靠性函数。该算法的时间复杂度为O(2(n))，远低于复杂度为O(3(n2))的标准状态空间方法。最后，我们概括了所提出的方法，其中组件的故障机制是不同的。 (c) 2005 Elsevier Inc. 保留所有权利。
A new methodology for the reliability evaluation of an 1-dissimilar-unit non-repairable cold-standby redundant system is introduced in this paper. Each unit is composed of a number of independent components with generalized Erlang distributions of lifetimes, arranged in any general configuration. We also extend the proposed model to the general types of non-constant hazard functions. To evaluate the system reliability, we construct a directed stochastic network with exponentially distributed arc lengths, in which each path of this network corresponds with a particular minimal cut of the reliability graph of system. Then, we present an analytical method to solve the resulting system of differential equations and to obtain the reliability function of the standby system. The time complexity of the proposed algorithm is O(2(n)), which is much less than the standard state-space method with the complexity of O(3(n2)). Finally, we generalize the proposed methodology, in which the failure mechanisms of the components are different. (c) 2005 Elsevier Inc. All rights reserved.