Remedial approaches to decrease the effect of measurement errors on polynomial profile monitoring

Abstract

In the application of quality control charts, most of the researches in profile monitoring are based on accurate measurements. Measurement errors, however, often exist in many manufacturing and service environment. In this paper, first, we investigate the effect of neglecting measurement errors on the performance of four common control charts for Phase II monitoring of polynomial profiles. Simulation studies in terms of average run length (ARL) metric show that neglecting the measurement errors adversely affects the capability of all mentioned control charts. Then, we reconstruct the control charts based on two consistent estimators and two remedial approaches including multiple measurement and increasing sample size are utilized to decrease the effect of measurement errors. The results show that the remedial approaches compensate for the mentioned effect to a certain extent.