Two different general monotone process models for a deteriorating system and its optimisation
Two different general monotone process models for a deteriorating system and its optimisation
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DOI：
10.1080/00207720903428914
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发表时间：
2011-01
影响因子：
4.3
通讯作者：
G. Cheng;L. Li
中科院分区：
文献类型：
--
作者：
G. Cheng;L. Li
我们提出了一个退化系统的k个故障状态和一个工作状态。假设系统在修复后不能像新的一样好，并且退化是随机的。在这些假设下，我们使用一个广义的α-系列过程和几何过程模型的系统连续的工作时间和连续的修复时间，分别。在替换策略N下，我们得到了平均费用率（ACR）的表达式，并通过解析或数值方法导出了最优替换策略。最后，通过一个算例对模型进行了验证，并对模型进行了讨论和灵敏度分析。
We present a deteriorating system with k failure states and one working state. Assume that the system after repair cannot be as good as new, and the deterioration is stochastic. Under these assumptions, we use a generalised α-series process and geometric process to model system successive working times and consecutive repair times, respectively. Under the replacement policy N, we obtain the expression of the average cost rate (ACR), and derive the optimal replacement policy analytically or numerically. Finally, we provide a numerical example to illustrate our model, and carry through some discussions and sensitivity analysis of the model.