N中连续取k好可修系统的模糊可靠性

Fuzzy reliability of repairable consecutive-k-out-of-n system

在假定关键部件具有较高的修理优先权的条件下,讨论了具有1个修理工的可修n中连续取k好系统.利用马尔可夫过程对系统的各状态进行分析,得出了系统各状态的概率.然后利用基于模糊状态的可靠性理论,通过定义系统各状态对模糊成功的隶属函数,得到了可修n中连续取k好系统的模糊可靠性指标的计算公式,并比较其结果与传统可靠性理论的不同之处.模糊可靠度可以反映系统中工作部件的数目对系统性能的影响,它全面刻画了系统的可靠性行为.最后给出了计算示例说明算法.

Under the condition that a key component will have a higher priority of repair, a repairable consecutive-k-out-of-n：G system with one repairman was studied. The probability of states was derived by using Markov process. The membership functions of the states to success and failure were defined and the reliability indices of repairable systems were analyzed utilizing reliability theory incorporating fuzzy states. The difference between fuzzy reliability and conventional reliability was compared. When the system was in the working state, the reliability of the system was intuitively characterized by the number of working components. The fuzzy reliability can fully describe the action of system. In the end, an example was given to illustrate the method.