Bai Yajie, Chiang Jyun-You, Liu Wen, Mou Zhengcheng
School of Statistics, Southwestern University of Finance and Economics, Chengdu, 611130, China.
Sci Rep. 2024 Apr 4;14(1):7958. doi: 10.1038/s41598-024-58675-7.
Control charts have been used to monitor product manufacturing processes for decades. The exponential distribution is commonly used to fit data in research related to healthcare and product lifetime. This study proposes an exponentially weighted moving average control chart with a variable sampling interval scheme to monitor the exponential process, denoted as a VSIEWMA-exp chart. The performance measures are investigated using the Markov chain method. In addition, an algorithm to obtain the optimal parameters of the model is proposed. We compared the proposed control chart with other competitors, and the results showed that our proposed method outperformed other competitors. Finally, an illustrative example with the data concerning urinary tract infections is presented.
几十年来，控制图一直用于监控产品制造过程。指数分布常用于拟合与医疗保健和产品寿命相关研究中的数据。本研究提出了一种具有可变采样间隔方案的指数加权移动平均控制图，以监控指数过程，记为VSIEWMA-exp图。使用马尔可夫链方法研究性能指标。此外，还提出了一种获取模型最优参数的算法。我们将所提出的控制图与其他同类方法进行了比较，结果表明我们提出的方法优于其他同类方法。最后，给出了一个关于尿路感染数据的示例。
