Process capability analysis for simple linear profiles

When a process is under statistical control, one is usually interested in evaluating process performance based on specification limits (SLs) provided by customer. This evaluation is referred to as process capability analysis. This study provides a new method to measure process capability index (PCI) for a simple linear profile based on its parameters. In this regard, the SLs for the proposed PCIs (SLs for the profile parameters) are presented based on SLs of the response variable while considering the in-control profiles. Simulation results reveal satisfactory performance for the proposed method considering absolute percentage error criterion. In addition, the minimum number of profile samples for estimation of the proposed PCIs are determined. A real case in calibration application is also considered to show the applicability of the proposed method in practice. © The Author(s), under exclusive licence to Springer Nature B.V. 2023.