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

doi:10.1016/j.ress.2022.108436

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	Marginal and joint failure importance for K-terminal network edges under counting process
	Ma, Chengye 3; Du, Yongjun 3; Zhang, Yuchun 3; Cai, Zhiqiang 1,2
刊名	Reliability Engineering and System Safety
	2022-07-01
卷号	223
关键词	Failure (mechanical) Numerical methods Poisson distribution Random processes Reliability analysis Risk assessment Roads and streets Stochastic systems Counting process Edge failures Importance measure Joint failure Joint failure importance K terminals K-terminal network Marginal failure importance Network failure Non-homogeneous Poisson process
ISSN号	0951-8320
DOI	10.1016/j.ress.2022.108436
英文摘要	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. © 2022
语种	英语
出版者	Elsevier Ltd
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/157914]
专题	理学院经济管理学院
作者单位	1.Ministry of Industry and Information Technology Key Laboratory of Industrial Engineering and Intelligent Manufacturing, Northwestern Polytechnical University, Xi'an; 710072, China 2.Department of Industrial Engineering, School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an; 710072, China; 3.Department of Management Science and Engineering, School of Economics and Management, Lanzhou University of Technology, Lanzhou; 730050, China;
推荐引用方式 GB/T 7714	Ma, Chengye,Du, Yongjun,Zhang, Yuchun,et al. Marginal and joint failure importance for K-terminal network edges under counting process[J]. Reliability Engineering and System Safety,2022,223.
APA	Ma, Chengye,Du, Yongjun,Zhang, Yuchun,&Cai, Zhiqiang.(2022).Marginal and joint failure importance for K-terminal network edges under counting process.Reliability Engineering and System Safety,223.
MLA	Ma, Chengye,et al."Marginal and joint failure importance for K-terminal network edges under counting process".Reliability Engineering and System Safety 223(2022).