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Control chart for joint monitoring mean and variance of a stationary process

机译:固定过程的联合监视平均值和方差的控制图

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As a newly proposed control scheme in SPC, adaptive-loss-function (AL) control chart is a single chart for monitoring process mean and variance simultaneously (Wang and Wu, 2004). It has demonstrated considerable reductions in average run length (ARL) to signal process shifts for independent observations. This article is a follow-up effort to extend the AL chart to a stationary process of AR(1). Under an AR(1) model, the application of the original AL chart is addressed by a residual approach conveniently. Through numerical comparisons, it is found that the AL chart by residual approach is a preferable choice over a wide range of process shifts relative to other two schemes. Generally, the superiority is more evident for moderate to large mean shift in case of positive correlation, and for small to moderate mean shift in presence of negative correlation.
机译:作为SPC中新提出的控制方案,自适应损失函数(AL)控制图是用于同时监视过程均值和方差的单个图(Wang和Wu,2004)。它证明了平均运行长度(ARL)的显着减少,从而可以发出信号通知独立观察的过程偏移。本文是一项后续工作,旨在将AL图扩展到AR(1)的平稳过程。在AR(1)模型下,可以通过残差方法方便地处理原始AL图的应用。通过数值比较,发现相对于其他两种方案,通过残差法的AL图是较宽范围的工艺转换的首选。通常,在正相关的情况下,对于中等到较大的均值漂移,在存在负相关的情况下,对于较小到中等的均值漂移,优势更为明显。

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