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《数学计算》(Mathematical Computation) (年刊)是IVY出版社旗下的一本关注数学理论与计算应用发展的国际期刊,是数学理论与现代工业技术相结合的综合性学术刊物。主要刊登有关理论数学、应用数学,及其在自然科学、工程技术、经济和社会等各领域内的最新研究进展的学术性论文和评论性文章。旨在为该领域内的专家、学者、科研人员提供一个良好的传播、分享和探讨数学理论进展的交流平台,反映学术前沿水平,促进学术交流,推进数学理论和应用方法的发展。本刊可接收中、英…… 【更多】 《数学计算》(Mathematical Computation) (年刊)是IVY出版社旗下的一本关注数学理论与计算应用发展的国际期刊,是数学理论与现代工业技术相结合的综合性学术刊物。主要刊登有关理论数学、应用数学,及其在自然科学、工程技术、经济和社会等各领域内的最新研究进展的学术性论文和评论性文章。旨在为该领域内的专家、学者、科研人员提供一个良好的传播、分享和探讨数学理论进展的交流平台,反映学术前沿水平,促进学术交流,推进数学理论和应用方法的发展。

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ISSN Print:2327-0519

ISSN Online:2327-0527

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Paper Infomation

Fuzzy Reliability Analysis of One Paralleling-series System

Full Text(PDF, 180KB)

Author: Chenhui Liu

Abstract: In this paper, we analyze the fuzzy reliability of paralleling-series system, focusing on the situation of the early failure mode. The early failure mode of fuzzy reliability mainly obeys the Weibull distribution. Based on this, we obtain the distribution function, density function, failure function, reliability function and the formula of the mean time to failure. For the paralleling-series system composed of multiple components, , especially when , we also obtain the corresponding formulas. Finally, we cite an example to verify the formula and deepen the understanding.

Keywords: Paralleling-series System, Early Failure Mode, Fuzzy Reliability, Weibull Distribution

References:

[1] Zadeh L.A. “Fuzzy Sets”. Information and Control.1965,8(3):338-353

[2] Tingjie, Gao He. “The fuzzy reliability of the Serial system.” Fuzzy Systems and Mathematics. 1989,3(1):38-45

[3] Zhang Shuahua, Yu Hongbo. “The fuzzy reliability of the Serial system.”Engineering system theory and the practice.1994,9:28-31

[4] Zhang Minyue, Chen Yanli. “Reliability analysis of different types of three components in parallel systems.” Journal of lanzhou university of technology. 37 (2): 127-130

[5] Chenhui Liu. Jinhui Li. Yunfei Guo. Fuzzy reliability of early failure mode in the series system. Scientific Journal Control Engineering. 2015,5(5):63-67

[6] Chenhui Liu. Jinhui Li. Yunfei Guo. Fuzzy reliability analysis of one paralleling system. Mathematical Computation. 2015 , 4(3):60-64

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