The Max-CUSUM Chart

New Memory-Type Control Charts for Monitoring Process Mean and Dispersion

“…Max-EWMA chart is very sensitive to small shifts in the process mean and dispersion when the sample size increases and sensitivity parameter decreases in value. The design structure of Max-CUSUM control chart was developed by Cheng and Thaga [15]. The statistics of Eqs.…”

“…Xie [14] introduced the Max-EWMA, SS-EWMA, EWMA-Max, and EWMA-SC control charts to overcome this challenge. Following the inspiration of Xie [14] for process monitoring, Cheng and Thaga [15] and Thaga [16] developed Max-CUSUM and SS-CUSUM, respectively, which are also memorytype control charts. These charts use both present and previous information about the process; they are more e ective in detecting small and moderate shifts than the max-chart.…”

Residual-based maximum MCUSUM control chart for joint monitoring the mean and variability of multivariate autocorrelated processes

“…Some examples of simultaneous control chart encompass alternate variables chart (Spiring & Cheng, 1998), box chart (Yeh & Lin, 2002), combined cumulative sum (CUSUM) mean and variability chart (Yeh, Lin, & Venkataramani, 2004), as well as combined exponentially weighted moving average (EWMA) and CUSUM chart (Zaman, Riaz, & Lee, 2017). Some single control charts have traditional control limit such as Max-chart (Chen & Cheng, 1998), Maximum EWMA (Max-EWMA) chart (Xie, 1999), Max-CUSUM chart (Cheng & Thaga, 2010), Max-EWMA with mean square-deviation (Max-EWMAMS) chart (Memar & Niaki, 2011), and maximum generally weighted moving average (Max-GWMA) chart (Teh, Khoo, & Wu, 2012;Sheu, Huang, & Hsu, 2012). Moreover, various single control charts such as semicircle chart (Chao & Cheng, 1996), sum of square EWMA chart (Xie, 1999), EWMA semicircle chart (Chen, Cheng, & Xie, 2004), sum of square GWMA chart (Huang, 2014), and GWMA semicircle chart (Huang, 2015) have a two-dimensional control region.…”

On designing an assorted control charting approach to monitor process dispersion: an application to hard-bake process

“…One-sided EWMA control chart based on the natural log was suggested by [11] to monitor subgroup variance [12] have proposed a CUSUM chart based on the logarithmic transformation of the subgroup variance [13] proposed a MaxMin EWMA chart to monitor process variability [14] have discussed and compared several control charts to monitor variation in the process [15] introduced a maximum (MAX) control chart to monitor the centre and spread of the variable simultaneously [16] proposed a MAX-EWMA control chart that can be used to monitor the process location and dispersion simultaneously. The chart was based on plotting the Maximum (MAX) of the standardized location and dispersion statistics against a single control limit [17] extended the idea of MAX statistic to a CUSUM control chart and showed that their proposed method works better than the MAX-EWMA [18] proposed a new two-sided S 2 chart based on logarithmic transformation for monitoring variation in the process. A new CUSUM-S 2 to monitor the process variation was proposed by [19,20] introduced some useful control charts for location based on different sampling schemes [21] used different methods to increase the sensitivity of the mixed EWMA-CUSUM control charts for the location parameter.…”