Comparison analysis of Two Cost Rate Models for Age Replacement Policy
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摘要: 年龄替换政策的费用率模型已广泛应用于确定关键零部件的最优预防替换年龄。传统的费用率模型是从更新-回报定理导出的,适用于无限计划水平的情况;新提出的费用率模型适用于有限计划水平的情况,但尚未受到深入的研究。本文介绍这两个费用率模型,然后完成一个详尽的参数研究和对比分析;着重分析威布尔寿命分布的形状参数和费用比与各个模型的最优预防替换年龄及其对应的费用率和可靠性的关系;主要发现新的费用率模型给出更小的预防替换年龄。Abstract: The classical cost rate model for age replacement policy is widely used to determine optimal preventive replacement age for important components. It is based on the renewal reward theorem and applicable for the case of infinite planning horizon. Recently, a new cost rate model was proposed and is applicable for the case of finite planning horizon, but its properties have not been studied. In this paper, a comparative analysis for these two models is carried out. After a brief introduction for the models, a detailed parametric study on the relationships between the Weibull shape parameter as well as cost ratio is conducted, and the optimal replacement age as well as the corresponding cost rate and the reliability obtained from the two models is obtaied. The main finding is that the preventive replacement age from the present model is always smaller than that from the classical model.
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