A geometrical process repair model for a repairable system with delayed repair
A geometrical process repair model for a repairable system with delayed repair
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DOI：
10.1016/j.camwa.2007.06.020
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发表时间：
2008-04
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影响因子：
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通讯作者：
Y. Zhang
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文献类型：
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作者：
Y. Zhang
本文研究了具有延迟修复的单部件、单修理工可修系统（即简单可修系统）。假设系统的工作时间分布、修复时间分布和延迟修复时间分布均为指数分布。经过修理，系统不像新的一样好。在此假设下，利用几何过程和补充变量技术，导出了系统可用性、故障发生率、可靠性和平均首次故障时间等重要的可靠性指标。研究了当系统故障数达到N时，对系统进行更换的维修更换策略N。导出了系统平均成本率（即单位时间内的长期平均成本）的显式表达式，并可以用解析或数值方法找到相应的最优替换策略N *。最后，给出了策略N的一个数值例子。
In this paper, a repairable system consisting of one component and a single repairman (i.e. a simple repairable system) with delayed repair is studied. Assume that the working time distribution, the repair time distribution and the delayed repair time distribution of the system are all exponential. After repair, the system is not “as good as new”. Under these assumptions, by using the geometrical process and the supplementary variable technique, we derive some important reliability indices such as the system availability, rate of occurrence of failures (ROCOF), reliability and mean time to first failure (MTTFF). A repair replacement policy N under which the system is replaced when the number of failures of the system reaches N is also studied. The explicit expression for the average cost rate (i.e. the long-run average cost per unit time) of the system is derived, and the corresponding optimal replacement policy N∗can be found analytically or numerically. Finally, a numerical example for policy N is given.