In present paper, we derive the quasi-least squares estimation(QLSE) and approximate maximum likelihood estimation(AMLE) for the Birnbaum-Saunders fatigue life distribution under multiply Type-Ⅱcensoring. Furthermore...In present paper, we derive the quasi-least squares estimation(QLSE) and approximate maximum likelihood estimation(AMLE) for the Birnbaum-Saunders fatigue life distribution under multiply Type-Ⅱcensoring. Furthermore, we get the variance and covariance of the approximate maximum likelihood estimation.展开更多
The linear consecutive-k-out-of-n:failure(good)(Lin/Con/k/n:F(G))system consists of n interchangeable components that have different reliabilities.These components are arranged in a line path and different component a...The linear consecutive-k-out-of-n:failure(good)(Lin/Con/k/n:F(G))system consists of n interchangeable components that have different reliabilities.These components are arranged in a line path and different component assignments change the system reliability.The optimization of Lin/Con/k/n:F(G)system is to find an optimal component assignment to maximize the system reliability.As the number of components increases,the computation time for this problem increases considerably.In this paper,we propose a Birnbaum importance-based ant colony optimization(BIACO)algorithm to obtain quasi optimal assignments for such problems.We compare its performance using the Birnbaum importance based two-stage approach(BITA)and Birnbaum importancebased genetic local search(BIGLS)algorithm from previous researches.The experimental results show that the BIACO algorithm has a good performance in the optimization of Lin/Con/k/n:F(G)system.展开更多
故障树分析法(Fault Tree Analysis,FTA),是一种将系统失效形成的原因由总体至部分按树枝状逐级细化的分析方法,可以简化系统结构,降低可靠性及重要度的计算复杂程度。文中以共因失效系统(Common Cause Failure System,CCF)作为研究对象...故障树分析法(Fault Tree Analysis,FTA),是一种将系统失效形成的原因由总体至部分按树枝状逐级细化的分析方法,可以简化系统结构,降低可靠性及重要度的计算复杂程度。文中以共因失效系统(Common Cause Failure System,CCF)作为研究对象,基于FTA方法,给出了系统结构通过各种不同的逻辑门(与门、或门、非门等)转化为故障树的表示方法,并提出了基于故障树的系统可靠性和Birnbaum重要度的隐式替代算法,最后针对串联和并联案例分别进行了系统可靠性及Birnbaum重要度的计算,结果验证了基于故障树方法计算系统可靠性和重要度的可行性。展开更多
基金Supported by the NSF of China(69971016)Supported by the Shanghai Higher Learning Science and Technology Development Foundation(04DB24)
文摘In present paper, we derive the quasi-least squares estimation(QLSE) and approximate maximum likelihood estimation(AMLE) for the Birnbaum-Saunders fatigue life distribution under multiply Type-Ⅱcensoring. Furthermore, we get the variance and covariance of the approximate maximum likelihood estimation.
基金the National Natural Science Foundation of China(Nos.71871181 and 71471147)the Overseas Expertise Introduction Project for Discipline Innovation(No.B13044)the Top International University Visiting Program for Outstanding Young Scholars of Northwestern Polytechnical University(No.201806295008)。
文摘The linear consecutive-k-out-of-n:failure(good)(Lin/Con/k/n:F(G))system consists of n interchangeable components that have different reliabilities.These components are arranged in a line path and different component assignments change the system reliability.The optimization of Lin/Con/k/n:F(G)system is to find an optimal component assignment to maximize the system reliability.As the number of components increases,the computation time for this problem increases considerably.In this paper,we propose a Birnbaum importance-based ant colony optimization(BIACO)algorithm to obtain quasi optimal assignments for such problems.We compare its performance using the Birnbaum importance based two-stage approach(BITA)and Birnbaum importancebased genetic local search(BIGLS)algorithm from previous researches.The experimental results show that the BIACO algorithm has a good performance in the optimization of Lin/Con/k/n:F(G)system.
文摘故障树分析法(Fault Tree Analysis,FTA),是一种将系统失效形成的原因由总体至部分按树枝状逐级细化的分析方法,可以简化系统结构,降低可靠性及重要度的计算复杂程度。文中以共因失效系统(Common Cause Failure System,CCF)作为研究对象,基于FTA方法,给出了系统结构通过各种不同的逻辑门(与门、或门、非门等)转化为故障树的表示方法,并提出了基于故障树的系统可靠性和Birnbaum重要度的隐式替代算法,最后针对串联和并联案例分别进行了系统可靠性及Birnbaum重要度的计算,结果验证了基于故障树方法计算系统可靠性和重要度的可行性。
