Abstract
In this paper, a new control chart scheme has been developed for monitoring the production process mean using successive sampling over two occasions. The proposed chart reduces to three different existing control charts under different assumptions and is compared with these three existing control charts for monitoring the process average. It has been observed that the proposed control chart performs better than the other existing control charts in terms of average run length (ARL). A simulation study using an artificial data set was included for demonstrating the process shift detection power of the proposed control chart.
Highlights
Control charts are being used extensively for monitoring the manufacturing processes to detect any unusual change in the quality characteristic of interest
Two types of control charts are most commonly used in the literature of the process control: one is used for monitoring the process mean or location, and the other is used for monitoring the variability or dispersion [3]
The performance evaluation of any proposed chart is examined by Average Run Length (ARL), which may be defined as the average number of samples before the process indicates an out-of-control process [2]
Summary
Control charts are being used extensively for monitoring the manufacturing processes to detect any unusual change in the quality characteristic of interest. The use of successive sampling in the area of control charts increases its monitoring ability substantially (see for example [13]). The performance evaluation of any proposed chart is examined by Average Run Length (ARL), which may be defined as the average number of samples before the process indicates an out-of-control process [2]. Several researchers used the ARL calculation for examining the performance of the proposed scheme, including [17,18,19,20]. A control chart design has been proposed for monitoring the process mean using successive sampling over two occasions.
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