温储备可修系统在两种开关模式下的可靠性

Reliability of Warm Standby Repairable System under Two Kinds of Switch Modes

对由n个同型部件和一个修理设备组成的温储备可修系统,在部件寿命、开关寿命和维修时间均服从指数分布,并且所有变量相互独立等条件下,建立开关失效系统立即失效和开关失效系统不立即失效两种模型,利用齐次马尔可夫过程确定系统的转移概率,并在n=2时,求出系统的一系列可靠性数量指标.最后论证两种模式在某些特殊条件下的结果,即在一定范围内推广了前人的模型.

The reliability of a warm standby repairable system, composed of n identically distributed components and repair equipment, is discussed. Under the conditions that the lifetime and repaired time of the components and the switch in the system are subject to exponential distributions and all variables are mutually independent, two models are set up respectively for two situations that the system fails immediately or not when the switch fails. From the homogeneous Markov process, the transition probability of the system is determined. And the reliability of its mean lifetime and the first failure time for n=2 are obtained. Finally, the results obtained from the two models accord with the present ones under some special conditions.