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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.
Indexed BySCIE
2013-12
Source PublicationANNALS OF OPERATIONS RESEARCH
Volume212Issue:1Pages:21-41
PublisherSPRINGER
Publication PlaceDORDRECHT
AbstractThis 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.
KeywordCumulative shock model Cluster point process Lifetime Light-tailed distribution Regular-tailed distribution
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
Subject AreaOperations Research & Management Science
Project NumberNatural Science Foundation of China [71171103, 10871086] ; NSERC of Canada [RGPIN197319]
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
Funding OrganizationNSFC ; NSERC
DOI10.1007/s10479-012-1255-6
ISSN0254-5330
SubtypeArticle
Language英语
WOS IDWOS:000329456700003
First Inst
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lzu.edu.cn/handle/262010/102995
Collection管理学院
Corresponding AuthorZhang, 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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