Combination of Sequential Sampling Technique with GLR Control Charts for Monitoring Linear Profiles Based on the Random Explanatory Variables

Control charts play a beneficial role in the manufacturing process by reduction of non-compatible products and improving final quality. In line with these aims, several adaptive methods which samples can be taken variable sampling rates intervals have been proposed area statistical control (SPC). some SPC applications, it is important to monitor relationship between response independent variables—this called profile monitoring. This article proposes generalized likelihood ratio (GLR) based on interval (VSI) sequential (SS) techniques for monitoring simple linear profiles. Because real-life problems, may possible that user cannot values explanatory variables; thus, this paper, we focus such scenario. The performance method compared under three different situations, i.e., fixed rate (FSR), VSI, SS, average time signal (ATS) criteria phase II analysis. Since SS approach uses novel procedure statistic magnitude, has superior over other competing charts. Several simulation studies indicate superiority as yields lower ATS when there are single-step changes intercept, slope, standard deviation error term, variables. addition, related sensitivity analysis indicates aspects methods, computational time, comparison charts, consideration Furthermore, results supported illustrative example from adhesive industry.