摘要
在转换开关完全可靠情形下,首先分别讨论了两部件及三部件串联冷贮备、温贮备可修复系统。对于这几类系统,建立模型并提出若干合适的假设。对模型恰当的定义状态,列出系统所有可能的状态。根据马尔科夫过程理论的知识,得到系统的转移概率及其矩阵。然后利用Laplace变换这两类系统的可靠度以及首次故障前平均时间分布的Laplace变换式,再对其进行反Laplace变换即可得到可靠度以及首次故障前平均时间。系统的其他可靠性指标可以相应的讨论。最后在此基础上,对一般的部件情形进行了大概的分析,通过类似的假设建立了模型.应用马尔科夫过程理论分析出了系统所有可能的状态,进而利用Laplace变换、反Laplace变换等数学方法得出带有单冷贮备系统的可靠度的具体表达式。
In this paper,two and three components series repairable systems with a single cold standby unit and a perfect switch were analyzed.A model was established for these systems under a series of suitable assumptions.By defining the model appropriately,all the possible states of the system were listed.According to the Markov process theory,we put forward the system＇s transfer probability and its matrix.The Laplace transformation of the system＇s Reliability and Mean Time to First Failure were proposed as well using Laplace transform.Then we expressed the system＇s Reliability and Mean Time to First Failure.Other system reliability indices could be discussed accordingly.On the upper basis,the general system consisting of N parts was analyzed by both making several similar assumptions and establishing model.All the possible states of the system were derived by the Markov process theory.Furthermore,the analytical express of reliability of the general N-component series repairable system with a single cold standby unit was obtained by using Laplace transform and inverse Laplace transform.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2013年第5期422-427,共6页
Journal of Nanchang University(Natural Science)
