Recursive Algorithm for Reliability Evaluation of Non-Repairable Phased Mission Systems With Binary Elements
Recursive Algorithm for Reliability Evaluation of Non-Repairable Phased Mission Systems With Binary Elements
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DOI：
10.1109/tr.2012.2192060
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发表时间：
2012-04
影响因子：
5.9
通讯作者：
G. Levitin;L. Xing;S. Amari
中科院分区：
文献类型：
--
作者：
G. Levitin;L. Xing;S. Amari
许多实际系统是多阶段使命系统（PMS），其中使命由多个、连续且不重叠的操作阶段组成。PMS的准确可靠性分析必须考虑跨阶段的组件状态的统计依赖性，以及系统配置，成功标准和组件行为的动态。本文提出了一种由不同的二进制不可修元件组成的任意二进制或多态PMS的精确可靠性评估方法。该方法是不变的系统结构和任务之间的需求的变化，并考虑到随时间变化和阶段相关的故障率和相关的累积损伤效应。该方法是基于条件概率，并基于分支和界限的一个有效的递归公式来计算这些概率。这种方法的主要优点是它不需要组合决策图，并且可以完全自动化。该方法是使用一个分析的例子，和一个数值例子。
Many practical systems are phased-mission systems (PMS), where the mission consists of multiple, consecutive, and non-overlapping phases of operation. An accurate reliability analysis of a PMS must consider the statistical dependencies of component states across phases, as well as dynamics in system configurations, success criteria, and component behavior. In this paper, we propose a method for exact reliability evaluation of arbitrary binary or multi-state PMS consisting of non-identical binary non-repairable elements. The method is invariant to changes in system structure and demand among missions, and takes into account the time-varying and phase-dependent failure rates and associated cumulative damage effects. The proposed method is based on conditional probabilities, and an efficient recursive formula to compute these probabilities based on branch and bound. The main advantage of this method is that it does not require composition of decision diagrams, and can be fully automated. The method is illustrated using both an analytical example, and a numerical example.