A Two-Sided CUSUM Control Chart with Repetitive Sampling with Industrial Application

Recently, the practice of employing control charts to monitor manufacturing processes has gained significant interest in the field of statistical process control (SPC). A properly designed control chart is capable of promptly detecting any shifts in the process. In this article, a novel two-sided CUSUM control chart with repetitive sampling is introduced for monitoring the process mean. To evaluate the performance of the proposed CUSUM control chart, various statistical measures such as the average, standard deviation, and percentiles (including the median) of run lengths are utilized. These measures are assessed under different distribution scenarios. Furthermore, a comparison is made between the performance of the proposed chart and several existing control charts. By presenting the new two-sided CUSUM control chart with repetitive sampling, this article contributes to the advancement of process monitoring techniques in SPC. The evaluation of its performance using various statistical measures and comparison with existing control charts provide valuable insights into its effectiveness.