冷贮备可修系统的一个新模型及其可靠性分析

A new model for the cold standby repairable system and its reliability analysis

考虑了冷贮备可修系统的一个新模型,在该模型中引入了修理工可延误休假的概念.在假定部件的寿命、修理工的延误休假时间均服从指数分布,部件的修理时间和修理工的休假时间均服从一般连续型分布下,利用补充变量法和广义马尔可夫过程得到了系统的可用度和可靠度以及修理工处于休假和系统处于等待修理时的概率等一些重要的可靠性指标,最后给出韦布尔分布的具体的实例.

This note deal with a new model for the cold standby repairable system,in which the conception of a repairman with possible delay vacation is introduced.In this system,it is assumed that the life of each unit and the delay vacation time of the repairman are exponentially distributed and the repair time of the unit and the vacation time of the repairman are distributed according to general continuous distributions.Then,by using the supplementary variables approach and method of generalized Markov process,the availability and reliability of system,and some important reliable indices like the probability of the repairman vacation and the system waiting for repairing are obtained.Finally,a concrete example on Weibull distribution is given.