采用PH分布的改进可修串联系统可靠性模型研究

摘要

This research investigates a series repairable system in which the lifetime of units and the repair time of system follow the general patterns of distribution that can be represented as Phase-Type (PH)distribution.The proposed model provides an analytic reliability model that is more suitable to the real situation.A solution to system stationary probability is given.System stationary availability, mean time between failures (MTBF),mean down time,the reliability and fail rate functions are ex-pressed as analytical forms.Finally,the validity and applicability of the model are verified by numeri-cal applications.%以单维修台可修串联系统为研究对象，假设部件寿命和系统维修时间服从一般分布，表示为 Phase-Type（PH）分布形式，建立了一种描述能力更强的串联系统可靠性随机模型，给出了系统稳态概率的求解过程，推导出系统稳态可用度、平均故障间隔时间、平均停机时间、可靠度与失效率函数的解析表达式，并通过算例验证了该模型的正确性和适用性。