Birnbaum Importance Measure of Network Based on C-Spectrum Under Saturated Poisson Distribution

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	Birnbaum Importance Measure of Network Based on C-Spectrum Under Saturated Poisson Distribution
	Du, Y. J.1,2; Si, S. B.2; Gao, H. Y.2; Cai, Z. Q.2
	2017
关键词	Birnbaum importance measure C-spectrum network saturated Poisson distribution
页码	934-938
英文摘要	Importance measures usually provide numerical indicator to decide which component is more important for network reliability improvement or more critical for network failure. The concept of C-spectrum is a useful tool to implement the importance measures for network, which solely depends on network structure. In this paper, we analyze a network that consists of n components (edges). Under the condition that the distribution of the number of failed edges is given, the properties of traditional Birnbaum importance measure (BIM) are generalized and investigated. First, we derive a formula for BIM based on C-spectrum and establish a sufficient and necessary condition for comparing two edges according to their BIMs. Secondly, under the special case where the number of failed edges follows a saturated Poisson distribution with intensity., for enough small. the BIM ranking is structural ranking, i.e., depending solely on the network structure through the C-spectrum. Finally, an example is presented to explain how we can rank edges according to their BIMs.
会议录	2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT (IEEM)
会议录出版者	IEEE
会议录出版地	345 E 47TH ST, NEW YORK, NY 10017 USA
语种	英语
资助项目	111 Project[B13044]
WOS研究方向	Engineering ; Operations Research & Management Science
WOS记录号	WOS:000428267800191
内容类型	会议论文
源URL	[http://119.78.100.223/handle/2XXMBERH/36300]
专题	兰州理工大学
通讯作者	Du, Y. J.
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China 2.Northwestern Polytech Univ, Sch Mech Engn, Xian, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Du, Y. J.,Si, S. B.,Gao, H. Y.,et al. Birnbaum Importance Measure of Network Based on C-Spectrum Under Saturated Poisson Distribution[C]. 见:.