Lifetime properties of a cumulative shock model with a cluster structure

doi:10.1007/s10479-012-1255-6

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	Lifetime properties of a cumulative shock model with a cluster structure
	Bai, JM(白建明); Zhang, ZG; Li, ZH; Zhang, ZG (reprint author), Western Washington Univ, Dept Decis Sci, Bellingham, WA 98225 USA.
	2013-12
Source Publication	ANNALS OF OPERATIONS RESEARCH
ISSN	0254-5330
Volume	212 Issue:1 Pages:21-41
Abstract	This paper studies a generalized cumulative shock model with a cluster shock structure. The system considered is subject to two types of shocks, called primary shocks and secondary shocks, where each primary shock causes a series of secondary shocks. The lifetime behavior of such a system becomes more complicated than that of a classical model with only one class of shocks. Under a non-homogeneous Poisson process of primary shocks, we analyze the lifetime behavior of the system with light-tailed and heavy-tailed distributed secondary shocks. We show some important characteristics of lifetime of this type of system. Our model, as an extension of the classical shock models, has wide applications in maintenance engineering, operations management, and insurance risk assessment.
Keyword	Cumulative shock model Cluster point process Lifetime Light-tailed distribution Regular-tailed distribution
Subject Area	Operations Research & Management Science
Publisher	SPRINGER
DOI	10.1007/s10479-012-1255-6
Publication Place	DORDRECHT
Indexed By	SCIE
Language	英语
First Inst	是
Funding Project	国家自然科学基金项目 ; 加拿大自然科学和工程研究理事会项目
Project Number	Natural Science Foundation of China [71171103, 10871086] ; NSERC of Canada [RGPIN197319]
WOS ID	WOS:000329456700003
Funding Organization	NSFC ; NSERC
Subtype	Article
Department	[Bai, Jian-Ming; Zhang, Zhe George] Lanzhou Univ, Sch Management, Lanzhou 730000, Gansu, Peoples R China; [Zhang, Zhe George] Simon Fraser Univ, Beedie Sch Business, Burnaby, BC V5A 1S6, Canada; [Zhang, Zhe George] Western Washington Univ, Dept Decis Sci, Bellingham, WA 98225 USA; [Li, Ze-Hui] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
Citation statistics	Cited Times:6[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	https://ir.lzu.edu.cn/handle/262010/102995
Collection	管理学院
Corresponding Author	Zhang, ZG (reprint author), Western Washington Univ, Dept Decis Sci, Bellingham, WA 98225 USA.
Recommended Citation GB/T 7714	Bai, JM,Zhang, ZG,Li, ZH,et al. Lifetime properties of a cumulative shock model with a cluster structure[J]. ANNALS OF OPERATIONS RESEARCH,2013,212(1):21-41.
APA	Bai, JM,Zhang, ZG,Li, ZH,&Zhang, ZG .(2013).Lifetime properties of a cumulative shock model with a cluster structure.ANNALS OF OPERATIONS RESEARCH,212(1),21-41.
MLA	Bai, JM,et al."Lifetime properties of a cumulative shock model with a cluster structure".ANNALS OF OPERATIONS RESEARCH 212.1(2013):21-41.

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