摘要
本文考虑了由ｎ个部件和一个维修工组成的相邻２／ｎ（Ｆ）的线形和环形可修系统．假定可修系统中的ｎ个部件是相互独立的，每个部件的工作时间和维修时间均服从负指数分布．在部件故障后能修复如新时，利用本文引进的广义转移概率，我们确定了该系统的状态转移概率，当ｎ已知时，我们求出了该系统的可靠度的Ｌａｐｌａｃｅ变换及首次故障前的平均时间等可靠性指标的精确表达式．
In this paper,the consecutive 2/n (F) repairable system consists of a sequence of n ordered identical components in a line and in a circle,and a single repairman.Assume that n components in the system are independent,the working time and the repair time of each component are both exponentially distributed,and each component after repair is as good as new.By using the definition of generalized transition probability,we determine the state transition probability of the system.Whenever n is given,we obtain the exact formulas of some reliability indices such as the system reliability (or its Laplace transform)and the system mean time to first failure etc.
基金
国家自然科学基金
江苏省自然科学基金
