Real‐time Reliability Evaluation with a General Wiener Process‐based Degradation Model
Real‐time Reliability Evaluation with a General Wiener Process‐based Degradation Model
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DOI：
10.1002/qre.1489
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发表时间：
2014-03
影响因子：
2.3
通讯作者：
Xiaolin Wang;P. Jiang;B. Guo;Z. Cheng
中科院分区：
文献类型：
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作者：
Xiaolin Wang;P. Jiang;B. Guo;Z. Cheng
本文的目的是研究基于一般维纳过程退化模型的真实的时间可靠性评估问题。具有线性漂移的Wiener过程由于其数学上的易处理性，在文献中被广泛用于表征降解过程或其变换的动力学。然而，在实际应用中，系统的退化过程是非线性的，不能很好地线性化。这种退化过程的动态不能用线性模型准确地捕捉。在这里，提出了一种通用的基于维纳过程的退化模型，它涵盖了各种基于维纳过程的模型作为其极限情况。提出了一种两阶段方法来估计未知参数。给出了两种不同条件下的真实的实时可靠性评估方法：一种是解析评估方法，另一种是模拟评估方法。结果表明，当新的退化信息是可用的，评估结果可以自适应地更新。此外，为了检验所提出的退化模型，还提供了一种图形方法。最后，通过一个数值算例和两个真实的例子说明了该方法的有效性.版权所有© 2013约翰威利父子有限公司.
The aim of this paper is to investigate the issue of real‐time reliability evaluation based on a general Wiener process‐based degradation model. With its mathematical tractability, the Wiener process with a linear drift has been widely used in the literature, to characterize the dynamics of the degradation process or its transformation. However, the nonlinear degradation process, which can't be properly linearized, exists in practice. The dynamics of such a degradation process can't be accurately captured by linear models. Here, a general Wiener process‐based degradation model is proposed, which covers a variety of Wiener process‐based models as its limiting cases. A two‐stage method is presented to estimate the unknown parameters. Two real‐time reliability evaluation procedures are presented for different conditions: one is the analytical evaluation procedure, and the other is the simulated evaluation procedure. It is shown that when new degradation information is available, the evaluation results can be adaptively updated. Moreover, to check out the proposed degradation model, a graphical method is provided. Finally, the validity of the proposed evaluation method is illustrated by a numerical example and two real‐world examples. Copyright © 2013 John Wiley & Sons, Ltd.