In industrial applications, a functional relationship between the quality characteristics of interest is well represented by profile functions. These are often characterized by linear or nonlinear relationships that depend on the nature of the experimental study. A monitoring method based on linear profiles is known as linear profiling, which is commonly used because of its simplicity. In this article, we propose a new linear profiling method based on a homogenously weighted moving average (HWMA) chart to monitor the linear profile parameters. The HWMA chart is based on the idea of allocating a specific weight to the current estimate of the profiling parameter, and the remaining weight is circulated equally among the prior estimates. The performance of the proposed control chart was evaluated using the average run length criterion and further compared with existing charts for the monitoring of the linear profile parameter. Our simulation results revealed the superiority of the newly proposed chart in terms of its quick detection ability. An example concerning gas sensors from the chemical industry is also presented to illustrate the application of the proposed chart.

中文翻译：

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应用于化学气体传感器的改进的简单线性分析方法

在工业应用中，感兴趣的质量特性之间的函数关系可以用轮廓函数很好地表示。这些通常以取决于实验研究性质的线性或非线性关系为特征。一种基于线性剖​​面的监测方法被称为线性剖面，由于其简单性而被普遍使用。在本文中，我们提出了一种基于均匀加权移动平均 (HWMA) 图的新线性分析方法来监控线性剖面参数。HWMA 图表基于为分析参数的当前估计分配特定权重的想法，剩余权重在先前估计之间平均循环。使用平均运行长度标准评估了所提出的控制图的性能，并进一步与现有的用于监测线性剖面参数的图表进行了比较。我们的模拟结果揭示了新提出的图表在快速检测能力方面的优越性。还提供了一个有关化学工业气体传感器的示例，以说明所提议图表的应用。