A shock model for the maintenance problem of a repairable system
A shock model for the maintenance problem of a repairable system
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DOI：
10.1016/s0305-0548(03)00121-7
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发表时间：
2004-10
期刊：
影响因子：
--
通讯作者：
Y. Lam;Y. Zhang
中科院分区：
文献类型：
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作者：
Y. Lam;Y. Zhang
本文研究了可修系统维修问题的冲击模型。假设冲击将按照泊松过程到来。如果两次连续冲击的到达间隔时间小于阈值，则系统将失败。对于退化系统，我们假设维修后的连续阈值是几何非递减的，且故障后的连续维修时间构成一个递增的几何过程。对于一个改进的系统，我们假设修复后的连续阈值是几何递减的，并且故障后的连续维修次数形成一个递减的几何过程。采用替换策略N，根据该策略，我们将在第N次故障后用相同的新系统替换该系统。然后，对于每个劣化系统和改进系统，明确地确定了使单位时间的长期平均成本最小的最优策略N∗。
In this paper, a shock model for the maintenance problem of a repairable system is studied. Assume that shocks will arrive according to a Poisson process. If the interarrival time of two successive shocks is less than a threshold, then the system will fail. For a deteriorating system, we assume that the successive threshold values are geometrically nondecreasing after repair, and the consecutive repair times after failure form an increasing geometric process. For an improving system, we assume that the successive threshold values are geometrically decreasing after repair, and the consecutive repair times after failure form a decreasing geometric process. A replacement policy N is adopted by which we shall replace the system by an identical new one at the time following the Nth failure. Then for each of the deteriorating system and improving system, an optimal policy N∗for minimizing the long-run average cost per unit time is determined explicitly.