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.
收录类别SCIE
2013-12
发表期刊ANNALS OF OPERATIONS RESEARCH
卷号212期号:1页码:21-41
出版者SPRINGER
出版地DORDRECHT
摘要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.
关键词Cumulative shock model Cluster point process Lifetime Light-tailed distribution Regular-tailed distribution
作者部门[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
学科领域Operations Research & Management Science
所属项目编号Natural Science Foundation of China [71171103, 10871086] ; NSERC of Canada [RGPIN197319]
资助项目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
项目资助者NSFC ; NSERC
DOI10.1007/s10479-012-1255-6
ISSN0254-5330
文章类型Article
语种英语
WOS记录号WOS:000329456700003
第一机构
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文献类型期刊论文
条目标识符http://ir.lzu.edu.cn/handle/262010/102995
Collection管理学院_工商管理&公共管理&信息管理
通讯作者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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