可修Consecutive-k-out-of-n:G系统(英文)

Repairable Consecutive-k-out-of-n : G System

本文研究有一个修理工的可修Ｃｏｎｓｅｃｕｔｉｖｅ－ｋ－ｏｕｔ－ｏｆ－ｎ： Ｇ系统．这个Ｇ系统是由ｎ个相同且独立的部件构成的环形或直线系统．假定每个部件的工作时间和修理时间都是指数分布．我们引进了广义转移概率和关键部件的概念，并假定一个关键部件具有较高的修理优先权，从而确定了系统状态的转移概率，同进讨论了系统的几种可靠性指标．

In this paper, we study a repairable consecutive- k-out- of- n: G system with one repairman, the system is either circular or linear. Assume that the system consists of n components whose working times are independent and identically distributed each ha ving an exponential distribution, and the repair times are also exponentially distributed. Then the generalized transition probability and the concept of key component are introduced. By assuming that a key component will have a higher priority of repair, the generalized transition density matrix of the system is determined. Some reliability indices are then studied.