Measures of component importance in repairable multistate systems - a numerical study
Measures of component importance in repairable multistate systems - a numerical study
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DOI：
10.1016/j.ress.2011.07.006
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
B. Natvig;A. Huseby;Mads O. Reistadbakk
中科院分区：
文献类型：
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作者：
B. Natvig;A. Huseby;Mads O. Reistadbakk
在可修多状态系统中，部件重要性的动态和静态度量是可靠性的重要组成部分。对于多状态系统，即使在不可修复的情况下，迄今为止也很少有关于此类措施的报道。根据Barlow-Proschan类型度量，如果组件状态的变化很可能导致系统状态是否高于给定状态的变化，则组件是重要的。另一方面，Natvig类型的措施侧重于组件状态的变化如何影响相对于给定系统状态的预期系统故障和停机时间。在本文中，我们首先回顾这些措施，可以估计使用先进的模拟方法。将早期的工作从二元扩展到多态情况，然后对两个三分量系统、桥梁系统以及海上石油和天然气生产系统进行了这些措施的数值研究。在多态情况下，组件的重要性是为每个组件状态单独计算的。因此，可能发生的是，一个组件在一个状态下非常重要，而在另一个状态下不太重要，甚至不相关。通过将每个单独状态的重要性度量相加，可以获得组合所有分量状态的重要性的统一度量。根据这些统一的衡量标准，组件相对于给定的系统状态可能很重要，但相对于另一个系统状态则不重要。可以看出，如果多态系统的非完全失效状态下的总元件时间分布与二进制系统的元件寿命分布相同，则最低系统状态的Barlow-Proschan测度简单地简化为该测度的二进制版本。然而，扩展的Natvig测度不具有此性质。这表明后一种度量捕获了关于系统的更多信息。
Dynamic and stationary measures of importance of a component in a repairable multistate system are an important part of reliability. For multistate systems little has been published until now on such measures even in the nonrepairable case. According to the Barlow–Proschan type measures a component is important if there is a high probability that a change in the component state causes a change in whether or not the system state is above a given state. On the other hand, the Natvig type measures focus on how a change in the component state affects the expected system uptime and downtime relative to the given system state. In the present paper we first review these measures which can be estimated using advanced simulation methods. Extending earlier work from the binary to the multistate case, a numerical study of these measures is then given for two three component systems, a bridge system and also applied to an offshore oil and gas production system. In the multistate case the importance of a component is calculated separately for each component state. Thus it may happen that a component is very important at one state, and less important, or even irrelevant at another. Unified measures combining the importances for all component states can be obtained by adding up the importance measures for each individual state. According to these unified measures a component can be important relative to a given system state but not to another. It can be seen that if the distributions of the total component times spent in the non-complete failure states for the multistate system and the component lifetimes for the binary system are identical, the Barlow–Proschan measure to the lowest system state simply reduces to the binary version of the measure. The extended Natvig measure, however, does not have this property. This indicates that the latter measure captures more information about the system.