| 可修Consecutive-k-out-of-n:G系统 |
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| 引用本文： | 林埜,张元林.可修Consecutive-k-out-of-n:G系统[J].运筹学学报,2000,4(3):19-32. |
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| 作者姓名： | 林埜 张元林 |
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| 作者单位： | 1. 香港中文大学统计学系,香港
2. 东南大学数学力学系,南京 |
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| 摘 要： | 本文研究了有一个修理的可修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。我们引进了广泛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，同时讨论了系统的几种可靠性指标。
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| 关 键 词： | 可靠性 CONSECUTIVE－K－OUT－OF－N：G系统 广义转移概率 可修系统 |
| 修稿时间： | 1999-11-30 |
Repairable Consecutive-k-out-of-n: G System |
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| YEH LAM,YUANLIN ZHANG.Repairable Consecutive-k-out-of-n: G System[J].OR Transactions,2000,4(3):19-32. |
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| Authors: | YEH LAM YUANLIN ZHANG |
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| Institution: | YEH LAM
(Lingnan (University) College, Zhongshan University, Guangzhou and Department of Statistics, The Chinese University of Hong Kong, Hong Kong)YUANLIN ZHANG
(Department of Applied Mathematics, Southeast University, Nanjing) |
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| Abstract: | 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. |
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| Keywords: | reliability Consecutive-k-out-of-n G system Generalized transition probability Key component Q-matrix |
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