An extended extreme shock maintenance model for a deteriorating system
An extended extreme shock maintenance model for a deteriorating system
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DOI：
10.1016/j.ress.2007.09.008
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发表时间：
2008-08
期刊：
影响因子：
--
通讯作者：
Jinyuan Chen;Zehui Li
中科院分区：
文献类型：
--
作者：
Jinyuan Chen;Zehui Li
本文研究了一个受到环境随机冲击的退化系统。假设在系统运行阶段，每当冲击到来时，都会对系统造成一定的破坏，但破坏程度“小”的冲击对系统是无害的，而破坏程度“大”的冲击则可能导致系统失效。系统的劣化是由外部冲击和内部负载共同造成的。在外部，系统所能承受的冲击损伤的大小随着维修次数的增加而减小。在内部，连续修理的时间是不断增加的修理次数。采用替换策略N，即在第N次故障时更换系统。导出了单位时间长期平均成本的显式表达式，并解析确定了使单位时间长期平均成本最小的最优策略N*。并给出了数值算例。
In this paper, we study a deteriorating system which is suffering random shocks from its environment. Assume that in the system's operating stage, whenever a shock arrives, it will do some damage to the system, but shocks with a “small” level of damage are harmless for the system, while shocks with a “large” level of damage may result in the system's failure. The system's deterioration is caused by both the external shocks and the internal load. In the external, the magnitude of the shock damage the system can bear is decreasing with respect to the number of repairs taken. In the internal, the consecutive repair time is increasing in the number of repairs taken. A replacement policy N, by which the system is replaced at the time of the Nth failure, is adopted. An explicit expression of the long run average cost per unit time is derived, and an optimal policy N*for minimizing the long run average cost per unit time is determined analytically. A numerical example is also given.