Evaluating the effect of measurement errors on either adaptive or simultaneous control charts has been a topic of interest for the researchers in the recent years. Nevertheless, the effect of measurement errors on both adaptive and simultaneous monitoring control charts has not been considered yet. In this paper, through extensive numerical studies, we evaluate the effect of measurement errors on an adaptive (variable parameters) simultaneous multivariate control chart for the mean vector and the variance‐covariance matrix of p quality characteristics assumed to follow a multivariate normal distribution. In order to do so, (a) we use eight performance measures computed using a Markov chain model, (b) we consider the effects of multiple measurements as well as the error model's parameters, and (c) we also consider the overall performance of this adaptive simultaneous chart including the chart parameters values optimization, which have never been considered so far for this scheme. At last, a real case is presented in order to illustrate the proposed scheme.

中文翻译：

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可变参数多元控制图，用于同时监控过程平均值和测量误差的变化

近年来，评估测量误差对自适应控制图或同时控制图的影响一直是研究人员关注的话题。但是，尚未考虑测量误差对自适应和同时监视控制图的影响。在本文中，通过广泛的数值研究，我们评估了测量误差对p的均值向量和方差-协方差矩阵的自适应（可变参数）同时多元控制图的影响假定遵循多元正态分布的质量特征。为了做到这一点，（a）我们使用通过马尔可夫链模型计算的八项性能指标；（b）我们考虑多次测量的效果以及误差模型的参数；（c）我们还考虑了整体性能该自适应同步图表包括图表参数值优化，迄今为止该方案尚未考虑过。最后，给出一个实际案例以说明所提出的方案。