A deteriorating cold standby repairable system with priority in use
A deteriorating cold standby repairable system with priority in use
复制标题
DOI：
10.1016/j.ejor.2006.09.075
复制
发表时间：
2007-11
期刊：
影响因子：
--
通讯作者：
Y. Zhang;G. Wang
中科院分区：
文献类型：
--
作者：
Y. Zhang;G. Wang
研究了由两个不同部件和一个修理工组成的冷贮备可修系统。在该系统中，假设两个部件的工作时间分布和维修时间分布均为指数分布，部件1优先使用。修理后，部件2“完好如新”，而部件1则进行几何工艺修理。在此假设下，利用几何过程和补充变量技术，导出了系统的可用度、可靠度、首次故障前平均时间（MTTFF）、故障发生率（ROCOF）和修理工空闲概率等重要可靠性指标。给出了系统可靠度R（t）的一个数值例子。考虑了基于部件1工作年限T的维修更换策略，即部件1工作年限达到T时更换系统。我们的问题是确定一个最优策略T_∞，使得系统单位时间的长期平均费用最小。给出了系统单位时间的长期平均费用的显式表达式，并给出了相应的最优更换策略T_n。文中还给出了替换模型的另一个数值例子。
In this paper, a cold standby repairable system consisting of two dissimilar components and one repairman is studied. In this system, it is assumed that the working time distributions and the repair time distributions of the two components are both exponential and component 1 is given priority in use. After repair, component 2 is “as good as new” while component 1 follows a geometric process repair. Under these assumptions, using the geometric process and a supplementary variable technique, some important reliability indices such as the system availability, reliability, mean time to first failure (MTTFF), rate of occurrence of failure (ROCOF) and the idle probability of the repairman are derived. A numerical example for the system reliability R(t) is given. And it is considered that a repair-replacement policy based on the working age T of component 1 under which the system is replaced when the working age of component 1 reaches T. Our problem is to determine an optimal policy T∗such that the long-run average cost per unit time of the system is minimized. The explicit expression for the long-run average cost per unit time of the system is evaluated, and the corresponding optimal replacement policy T∗can be found analytically or numerically. Another numerical example for replacement model is also given.