| 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
Impact Factor & Quartile |
ISSN | 0254-5330
|
Volume | 212Issue:1Pages: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 |
|
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.
|
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.