WEIGHTED ALTERNATED CHARTING STATISTIC CONTROL CHART TO MONITOR THE MEAN VECTOR

Abstract

In this article, modification of the ‘Alternated Charting Statistic’ (ACS) scheme with the traditional Hotelling 2 chart to control the mean vector of a bivariate normal process is proposed. With the bivariate ACS scheme in use, the two quality characteristics (X, Y) are controlled in an alternating fashion. The proposed control chart is called as ‘Weighed Alternated Charting Statistic’ (WACS) control chart to monitor the mean vector by using variable inspection. In WACS chart, which one of the two quality characteristic is to be inspected, is explained in detail. While defining the rule of the status of the process, the weights of each of the two quality characteristics are considered. It is numerically illustrated that the WACS chart performs better as compared to the 2chart and ACS chart.