Control Chart for Power Rayleigh Distribution Through Sampling Technique

Abstract

Control charts are widely used to track the manufacturing processes and find any odd changes in the target quality characteristic. To return the process to statistical control, prompt and thorough assessment of the process shift and the remedial actions provided by the control charts are helpful steps. The mean life of the product, whose lifetime follows the Power Rayleigh distribution, is to be monitored using an attribute control chart that uses repetitive sampling and a shortened life test. The tables and figures show the average run length and average sample size together with various shifts in the parameter value. By simulation study, the resulting control chart is created to evaluate performance. The process is more accurately detected by the power Rayleigh distribution than by the Rayleigh distribution, which is sensitive.