Mean time to failure;
Order statistics;
Reliability;
Weighted k-out-of-n:G systems;
RELIABILITY EVALUATION;
COPULA;
D O I:
10.1080/03610918.2013.844836
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
The purpose of this article is to develop a Monte-Carlo simulation algorithm for computing mean time to failure (MTTF) of weighted-k-out-of-n:G and linear consecutive-weighted-k-out-of-n:G systems. Our algorithm is based on the use of appropriately defined stochastic process which represents the total weight of the system at time t. These stochastic processes are explicitly defined and used along with the ordered component lifetimes to simulate MTTF of the systems with weighted components.
机构:
Lanzhou Univ, Sch Math & Stat, Lanzhou, Gansu, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou, Gansu, Peoples R China
Sun, Hong
Zhang, Yiying
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机构:
Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou, Gansu, Peoples R China
Zhang, Yiying
Zhao, Peng
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机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou, Jiangsu, Peoples R China
Jiangsu Normal Univ, RIMS, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou, Jiangsu, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou, Gansu, Peoples R China
机构:
Univ Paris 1 Pantheon Sorbonne Maison Sci Econ, Ctr Econ Sorbonne, CNRS, 106-112 Blvd Hop, F-75647 Paris 13, FranceUniv Paris 1 Pantheon Sorbonne Maison Sci Econ, Ctr Econ Sorbonne, CNRS, 106-112 Blvd Hop, F-75647 Paris 13, France
Andersen, Jorgen-Vitting
Cerqueti, Roy
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机构:
Sapienza Univ Rome, Dept Social & Econ Sci, Piazzale Aldo Moro 5, I-00185 Rome, Italy
Univ Angers, GRANEM, F-49000 Angers, FranceUniv Paris 1 Pantheon Sorbonne Maison Sci Econ, Ctr Econ Sorbonne, CNRS, 106-112 Blvd Hop, F-75647 Paris 13, France
Cerqueti, Roy
Riccioni, Jessica
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机构:
Roma Tre Univ, Dept Business Econ, Via Silvio DAmico 77, I-00145 Rome, ItalyUniv Paris 1 Pantheon Sorbonne Maison Sci Econ, Ctr Econ Sorbonne, CNRS, 106-112 Blvd Hop, F-75647 Paris 13, France