修理工可延误休假的温贮备系统

Warm Standby Redundant Repairable System with Multiple Delay Vacations of a Repairman

讨论了温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.在假定部件的工作时间、贮备时间、修理时间、修理工的延误休假时间、修理工的休假时间分布的前提下,利用补充变量法和拉普拉斯变换方法,建立了各状态概率的微积分方程,得到了系统的一些主要可靠性指标.最后研究了温贮备系统的一个特例,即仅考虑修理工可休假的温贮备系统,得出了该系统的可靠度及首次故障前的平均时间.

A new model for the Warm standby redundant repairable system is discussed in this paper. The conception of a repairman with possible delay vacation is introduced into this model. Assuming that the operating time and standby time of the units and the delay vacation time of the repairman are exponentially distributed, while the repair time of the units and the vacation time of the repairman have general continuous distributions, drawing on the supplementary variables approach and the method of generalized Markov process, the study obtains some important reliability indexes. Finally, a warm standby redundant repairable system with multiple vacations of a repairman is studied, obtaining such important reliability indexes as the system reliability and MTTF.