修理工可延误休假且部件不能修复如新的温贮备可修系统

The warm standby repairable system with repair of non-new and repairman delayed vacation

考虑了温贮备可修系统的一个新模型,该模型引入了修理工可延误休假这一概念,同时假设系统不能修复如新.在假定部件的工作时间、贮备时间以及修理时间、修理工的休假时间、延误休假时间分布的前提下,利用补充变量法和广义马尔可夫过程法,建立了各状态概率的微积分方程,得到了系统的一些重要可靠性指标;最后给出了仅考虑修理工可多重休假这种特殊情形下系统的稳态指标.

This paper deals with a new model for the warm standby repairable system which considerates the possibility of repairmant delayed vacation, and assumpt that the system can not be repaired “as good as new”. Based on the assumption of the distributions of the operating time, the standby time, the repair time, the vacation time and delayed vacation time of repairman, the availability and reliability of system is established by using the supplementa ry variable approach and generalized Markov process method. According to this system, some important reliability indices, such as the probability of the repairman vacation and the system waiting for repairing, are obtained. Finally, a concrete example is given under the warm standby repairable system which just considers the situation of repairman multiple vacations.