Optimal replacement policy for a general geometric process model with δ-shock
Optimal replacement policy for a general geometric process model with δ-shock
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DOI：
10.1080/00207721003706860
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发表时间：
2011-12
影响因子：
4.3
通讯作者：
Xiaolin Liang;Y. Lam;Zehui Li
中科院分区：
文献类型：
--
作者：
Xiaolin Liang;Y. Lam;Zehui Li
本文研究了退化系统和改进系统的δ激波几何过程的一般模型。当冲击到达时，系统将失效，到达间隔时间在一个实际集合内。假设采用替换策略N，在第N次故障发生后，系统将被一个新的、相同的系统替换。然后解析确定了使单位时间内长期平均成本最小的最优替换策略N*。最后，进行了灵敏度分析。
In this article, a general geometric process model with δ-shock for a deteriorating system and an improving system is studied. A system will fail as soon as a shock arrives with interarrival time being inside a real set. Assume that a replacement policy N is adopted by which the system will be replaced by a new, identical one at the time following the N-th failure. Then the optimal replacement policy N* for minimising the long-run average cost per unit time is determined analytically. Finally, the sensitivity analysis is studied.