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

doi:10.1016/j.ress.2022.108436

IR > 理学院

	Marginal and joint failure importance for K-terminal network edges under counting process
	Ma, Chengye1 ; Du, Yongjun1 ; Zhang, Yuchun1 ; Cai, Zhiqiang 2,3,4
	2022-07
发表期刊	Reliability Engineering and System Safety
ISSN	0951-8320
卷号	223
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
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
DOI	10.1016/j.ress.2022.108436
收录类别	EI ; SCIE
语种	英语
WOS研究方向	Engineering ; Operations Research & Management Science
WOS类目	Engineering, Industrial ; Operations Research & Management Science
WOS记录号	WOS:000772948100003
出版者	Elsevier Ltd
EI入藏号	20221311852053
EI主题词	Risk analysis
EI分类号	406.2 Roads and Streets ; 731.1 Control Systems ; 914.1 Accidents and Accident Prevention ; 921.6 Numerical Methods ; 922 Statistical Methods ; 922.1 Probability Theory ; 961 Systems Science
来源库	WOS
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/157914
专题	理学院经济管理学院
通讯作者	Du, Yongjun
作者单位	1.Lanzhou Univ Technol, Sch Econ & Management, Dept Management Sci & Engn, Lanzhou 730050, Peoples R China; 2.Northwestern Polytech Univ, Sch Mech Engn, Dept Ind Engn, Xian 710072, Peoples R China; 3.Northwestern Polytech Univ, Minist Ind, Xian 710072, Peoples R China; 4.Northwestern Polytech Univ, Informat Technol Key Lab Ind Engn & Intelligent M, Xian 710072, Peoples R China
第一作者单位	兰州理工大学
通讯作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
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).