论文标题
实时监视功能数据
Real-time Monitoring of Functional Data
论文作者
论文摘要
随着行业4.0的兴起，现在生成了大量数据，这些数据易于建模为功能数据。在这种情况下，标准配置文件监视方法旨在评估完全观察到的功能质量特征的稳定性。但是，在某些实际情况下，实时评估过程状态，即随着过程的运行，可以极大地提高监测的有效性。为此，我们提出了一种新方法，称为功能实时监控（FRTM），可以通过以下步骤考虑相位和振幅变化：（i）注册； （ii）降低维度； （iii）监测部分观察到的功能质量特征。进行了广泛的蒙特卡洛模拟研究，以量化FRTM相对于两种竞争方法的性能。最后，示出了一个示例，其中使用了建议的方法实时监测青霉素生产过程中的批处理。
With the rise of Industry 4.0, huge amounts of data are now generated that are apt to be modelled as functional data. In this setting, standard profile monitoring methods aim to assess the stability over time of a completely observed functional quality characteristic. However, in some practical situations, evaluating the process state in real-time, i.e., as the process is running, could be of great interest to significantly improve the effectiveness of monitoring. To this aim, we propose a new method, referred to as functional real-time monitoring (FRTM), that is able to account for both phase and amplitude variation through the following steps: (i) registration; (ii) dimensionality reduction; (iii) monitoring of a partially observed functional quality characteristic. An extensive Monte Carlo simulation study is performed to quantify the performance of FRTM with respect to two competing methods. Finally, an example is presented where the proposed method is used to monitor batches from a penicillin production process in real-time.
