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有限马尔可夫链嵌入法在系统失效率计算中的应用
引用本文:赵先,崔利荣. 有限马尔可夫链嵌入法在系统失效率计算中的应用[J]. 北京理工大学学报, 2006, 26(9): 843-846
作者姓名:赵先  崔利荣
作者单位:北京理工大学,管理与经济学院,北京,100081;北京理工大学,管理与经济学院,北京,100081
摘    要:引入有限马尔可夫链嵌入法计算复杂系统的可靠度函数,并利用系统可靠度函数与失效率函数之间的关系,导出复杂系统失效率函数的一般公式及计算步骤.针对单元间相互独立,且服从不同寿命分布的一般性复杂系统,给出了应用该方法计算失效率函数的实例.该方法解决了传统方法无法解决的复杂系统的失效率问题,并且运算过程具有可操作性.为深入了解复杂系统的性质奠定了基础.

关 键 词:失效率  有限马尔可夫链嵌入法  可靠度  马尔可夫链
文章编号:1001-0645(2006)09-0843-04
收稿时间:2006-03-09
修稿时间:2006-03-09

Application of Finite Markov Chain Embedding Approach to System Failure Rate Computation
ZHAO Xian and CUI Li-rong. Application of Finite Markov Chain Embedding Approach to System Failure Rate Computation[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2006, 26(9): 843-846
Authors:ZHAO Xian and CUI Li-rong
Affiliation:School of Management and Economies, Beijing Institute of Technology, Beijing 100081, China
Abstract:Finite Markov chain embedding approach is employed to compute the reliability function for complex systems,and the general formula of failure rate function is deduced from the relationship between reliability function and failure rate function.The computing process of complex systems' failure rate is then given.For a general complex system whose components are independent and distributed differently,the failure rate is given through the above approach.This approach can solve some problems that can not be solved by traditional approaches,and has its operability and validity.This study establishes a foundation to find out new characteristics of complex systems.
Keywords:failure rate  finite Markov chain embedding approach  reliability  Markov chain
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