n个同型部件和k个修理设备的并联可修系统的可靠度探究

Study on Reliability of Paralleled Redundant Repairable System with n Identity Units and k Repair Facilities

在假定部件的工作寿命服从参数为λ的指数分布,维修时间服从参数为μ的指数分布,部件的状态转换开关时是瞬间完成的,在初始时刻,所有部件都正常,所有随机变量均相互独立,故障部件能够修复如新的条件下,对由n个同型部件和k(k≤n)个修理设备组成的并联可修系统的可靠度进行分析。通过建立该系统的模型,计算出可靠度通式,并对n=2,k=1时的结果进行了验证。

Under assumption that the working life of the components subject to the exponential distribution with parameter λ and maintenance time obey the exponential distribution with parametersμ,the switch is instantaneous,all the parts is normal at the initial time and all random variables are independent of each other. Under the condition of the fault parts can be repaired as new,the reliability of the parallel repairable system which consisted of n identity units and k repair facilities is analyzed. By establishing the model of the system,reliability formula is computed. The reliability is verified for the conclusion of n = 2,k = 1.