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Reliability assessment for load-sharing systems with exponential components using statistical expansion as a correction
Xu, Jianyu1,2; Xie, Min2; Hu, Qingpei1
2019-07-01
Source PublicationAPPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY
ISSN1524-1904
Volume35Issue:4Pages:998-1010
AbstractAmong recent system models, one specific type of system is generally used to model the dependence among components. Components are connected parallel in such systems as they fail one by one and are supposed to share the system work load. The model is thus referred to as the load-sharing system model. Despite the availability of extensive reliability assessment methods for different systems, load-sharing systems have not received enough attention from the scholars who have studied reliability assessment so far. Load-sharing systems are generally designed for high levels of reliability. Therefore, tests for such systems can be expensive and time consuming. Limitation on resources always leads to small test sample sizes. This increases the difficulties associated with obtaining an accurate and robust system reliability assessment result. This paper proposes a novel assessment method for a certain type of load-sharing system with components following exponential lifetime distributions. Based on the parameter estimation of the system reliability model, we introduce the Winterbottom-Cornish-Fisher asymptotic expansion method for implementing a correction of normal approximation. We demonstrate the accuracy of our method through a series of examples and simulation studies.
Keywordexponential distribution load-sharing system system reliability assessment WCF asymptotic expansion
DOI10.1002/asmb.2439
Language英语
Funding ProjectResearch Grant Council of Hong Kong[T32-101/15-R] ; National Natural Science Foundation of China[71532008]
WOS Research AreaOperations Research & Management Science ; Mathematics
WOS SubjectOperations Research & Management Science ; Mathematics, Interdisciplinary Applications ; Statistics & Probability
WOS IDWOS:000479057700005
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35452
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXu, Jianyu
Affiliation1.Chinese Acad Sci, Inst Math & Syst Sci, Beijing, Peoples R China
2.City Univ Hong Kong, Shenzhen Res Inst, Shenzhen, Peoples R China
Recommended Citation
GB/T 7714
Xu, Jianyu,Xie, Min,Hu, Qingpei. Reliability assessment for load-sharing systems with exponential components using statistical expansion as a correction[J]. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY,2019,35(4):998-1010.
APA Xu, Jianyu,Xie, Min,&Hu, Qingpei.(2019).Reliability assessment for load-sharing systems with exponential components using statistical expansion as a correction.APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY,35(4),998-1010.
MLA Xu, Jianyu,et al."Reliability assessment for load-sharing systems with exponential components using statistical expansion as a correction".APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY 35.4(2019):998-1010.
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