文章基本信息

标题：A Study of System Reliability Analysis Using Linear Programming
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作者：Yi Chang ; Yasuhiro Mori
期刊名称：Journal of Asian Architecture and Building Engineering
印刷版ISSN：1346-7581
电子版ISSN：1347-2852
出版年度：2014
卷号：13
期号：1
页码：179-186
DOI：10.3130/jaabe.13.179
语种：English
出版社：日本建築学会、大韓建築学会、中国建築学会
摘要：The main drawback of using the linear programming (LP) bounds method for computing bounds on the reliability of a general system is that the size of the LP problem increases exponentially with the number of components. Although a multi-scale approach has been proposed to deal with a system with a large number of components, the selection of the subsystems in a multi-scale approach could still be difficult or impossible for a general system. In order to overcome the main drawback of the LP bounds method, the relaxed linear programming (RLP) bounds method was developed for a pure series system and pure parallel system; it provides results comparable to that of the LP bounds method. This paper extends the applicability of linear programming by presenting an approach to handle a general system by decomposing the entire system into subsystems based on failure modes. The proposed approach relies on individual component state probabilities and joint probabilities of the states of a small number of components, and it can provide the bounds for the failure probability of large systems, especially when other methods are not applicable. This paper also presents a strategy for decreasing the number of constraints in the RLP bounds method.
关键词：system reliability analysis;linear programming;LP bounds method;RLP bounds method;failure modes