修理设备可更换且修理延迟的两同型部件并联可修系统

Two-unit Same Paralleled Repairable System with a Replaceable Facility and Delay Repair

本文假定部件的寿命服从指数分布,其修理延迟时间和修理时间均服从一般分布,并且修理设备 的寿命服从指数分布,其更换时间服从一般分布,利用马尔可夫更换过程理论,研究了修理设备 可更换且修理有延迟的两同型部件的并联可修系统,求得了系统的可用度和 (0,t] 时间内的平均 故障次数。进一步,在定义修理设备“广义忙期”下,利用全概率分解,提出了分析修理设备可 靠性指标的一种新技术,并得到修理设备的一系列重要可靠性结果。

We consider a two-unit same paralleled repairable system with a replaceable facility and delay repair. Assuming that the life of each unit has exponential distribution, the delay repair time and the repair time both have general distributions, and the repair facility’s life has exponential distribution and its repair time has general distribution, some primary reliability quantities, such as the system’s availability and the expected failure number during (0,t], are obtained by using Markov renewal process theory. Furthermore, the generalized busy period of the repair facility is de?ned, and a new approach to analyze the repair facility’s reliability quantities is provided by total probability decomposition. A series of reliability results of the repair facility are also obtained.