基于不完全维修的可修系统平均故障次数研究

为了研究可修系统在不完全维修状态下的故障发生次数,使用广义更新模型(generalized renewal process,GRP)的思想建立的Kijima虚寿命模型来描述不完全维修模型,使用极大似然参数估计得到了上述过程的相关参数,使用Monte Carlo(MC)模拟得到了故障时间,计算不同时间段的不完全维修时平均故障次数.根据文献结合了一组零件故障服从两参数威布尔分布的数据,进行了上述方法的模拟.并将结果与相同数据的完全维修和一般维修得到的系统不同时间的平均故障次数进行比较,模拟表明在7000h前可以使用不完全维修模型确定平均故障次数,7000h后用不完全维修和一般维修平均故障次数曲线的平均值确定平均故障次数.

Research on the number of failures of repairable systems based on imperfect repair model

In order to research the mean failure times of repairable systems in imperfect repair state, Kijima's virtual age model based on the generalized renewal process (GRP) is improved to describe imperfect repair model. The correlative parameters of the process are estimated with maximum likelihood estimation. First failure time and subsequent failures times are obtained by Monte Carlo (MC) simulation. The mean failure times of system is calculated in imperfect repair state and different time. The data follows the Weibull distribution and literatures are combined to simulate according to the model. The mean failure times from that imperfect repair model, perfect repair model and general repair model are compared in different respectively. The results show that before 7000h, the mean failure times of system is determined with imperfect repair model; after 7000h, the mean failure times of system is determined with the mean value of imperfect repair model and general repair model.