“…Calzada and Scariano proposed an upper one‐sided S1 chart to monitor increases in ω under the zero‐state mode in case K. The charting statistic of the Shewhart‐type CV subchart is , i = 1, 2, …. More recently, Tran et al studied the latter S1 scheme in the presence of measurement errors.…”
In this paper, we provide an overview of a class of control charts called the synthetic charts. Synthetic charts are a combination of a traditional chart (such as a Shewhart, CUSUM, or EWMA chart) and a conforming run‐length (CRL) chart. These charts have been considered in order to maintain the simplicity and improve the performance of small and medium‐sized shift detection of the traditional Shewhart charts. We distinguish between different types of synthetic‐type charts currently available in the literature and highlight how each is designed and implemented in practice. More than 100 publications on univariate and multivariate synthetic‐type charts are reviewed here. We end with some concluding remarks and a list of some future research ideas.
“…Calzada and Scariano proposed an upper one‐sided S1 chart to monitor increases in ω under the zero‐state mode in case K. The charting statistic of the Shewhart‐type CV subchart is , i = 1, 2, …. More recently, Tran et al studied the latter S1 scheme in the presence of measurement errors.…”
In this paper, we provide an overview of a class of control charts called the synthetic charts. Synthetic charts are a combination of a traditional chart (such as a Shewhart, CUSUM, or EWMA chart) and a conforming run‐length (CRL) chart. These charts have been considered in order to maintain the simplicity and improve the performance of small and medium‐sized shift detection of the traditional Shewhart charts. We distinguish between different types of synthetic‐type charts currently available in the literature and highlight how each is designed and implemented in practice. More than 100 publications on univariate and multivariate synthetic‐type charts are reviewed here. We end with some concluding remarks and a list of some future research ideas.
“…Under the presence of measurement error, the performance of the control chart differs from the performance of the corresponding chart without considering the measurement error due to the change of the parameters of the model. This problem has been pointed out in various control charts by a lager number; see, for example, Nguyen et al, 13‐16 Linna et al, 17 Costa and Castagliola, 18 Noorossana and Zerehsaz, 19 and Tran et al 20,21 …”
In the literature, many control charts monitoring the median is designed under a perfect condition that there is no measurement error. This may make the practitioners confusing to apply these control charts because the measurement error is the true problem in practice. In this paper, we consider the effect of measurement error on the performance of the exponentially weighted moving average (EWMA) control chart combining with the variable sampling interval (VSI) strategy. A linear covariate error model is supposed to model the measurement error. The performance of the VSI EWMA median control chart is evaluated through the average time to signal. The numerical simulation shows that the measurement errors have a negative influence on the proposed chart.
“…In this study, the author used a tight assumption that the relation between the in-control CV and the out-ofcontrol CV is independent from the measurment error. This assumption was then eliminated in the design of other CV control charts considering the measurement error, see, for example Tran et al 17 , Tran et al 18 , Nguyen et al 19 , and Tran and Heuchenne 20 .…”
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