Marginal and joint failure importance for K-terminal network edges under counting process

Ma Chengye; Du Yongjun; Zhang YuchunCai Zhiqiang

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Marginal and joint failure importance for K-terminal network edges under counting process

机译：Marginal and joint failure importance for K-terminal network edges under counting process

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Importance measures have been applied extensively in various fields such as reliability optimization, failure diagnosis, and risk analysis. Traditional importance measures are insufficient for networks because they only quantify the contribution of each edge's reliability to network reliability. The counting process is a kind of stochastic process that can count the number of edge failures appeared in a time of period, which requires less information than knowing all edge reliabilities. In the context of edge failures subject to a counting process, this paper investigates importance measures for a given binary K-terminal network including n binary edges. This paper develops some formulas to compute the joint failure importance (JFI) and the marginal failure importance (MFI). The MFI quantifies the changes of network failure probability caused by the change of edge state, while the JFI evaluates the interaction effect between two edges regarding network failure probability. Their values, as functions of time t, depend on the probability distribution of the total number of edge failures at time t and the network structure. Additionally, we present a Monte-Carlo algorithm to approximate the values of the MFI and JFI. Finally, a numerical example concerning the road network is provided to demonstrate the computation methods of MFI and JFI, whose edge failures are subject to a saturated nonhomogeneous Poisson process. The numerical results provide further insights for the road network regarding the importance of edges.

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《Reliability engineering & system safety》 |2022年第7期|108436.1-108436.10|共10页
作者
Ma Chengye; Du Yongjun; Zhang YuchunCai Zhiqiang;
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作者单位

Lanzhou Univ Technol, Sch Econ & Management, Dept Management Sci & Engn, Lanzhou 730050, Peoples R China;

Northwestern Polytech Univ, Sch Mech Engn, Dept Ind Engn, Xian 710072, Peoples R China|Northwestern Polytech Univ, Minist Ind, Xian 710072, Peoples R China|Northwestern Polytech Univ, Informat Technol Key Lab Ind Engn & Intelligent M, Xian 710072, Peoples;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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关键词
K-terminal network; Counting process; Nonhomogeneous Poisson process; Marginal failure importance; Joint failure importance;

Marginal and joint failure importance for K-terminal network edges under counting process

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