基于模糊状态的串-并联可修系统的模糊可靠性

摘要

Under the condition that a key component will have a higher priority of repair, a repairable series-parallel system with three repairmen was studied.The probability of states was derived by Markov process.The membership functions of the states to success and failure were defined and the reliability indices of repairable series-parallel system were analyzed utilizing reliability theory incorporating fuzzy states.The difference between fuzzy reliability and conventional reliability was compared.%研究了具有3台修理设备且在假定关键部件具有优先修理权的可修串-并联系统.利用马尔可夫过程对系统的各状态进行分析,得出系统各状态的概率.然后利用基于模糊状态的可靠性理论,通过定义系统模糊工作以及模糊故障的隶属函数,得到了可修串-并联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.