Abstract

Abstract Control charts are typically used in establishing whether a process is in a state of statistical control or not. The performance of any control chart is an important consideration and characteristics of the run‐length distribution are generally used to assess its performance. Two popular measures of a control chart's performance are the expected value of the run‐length distribution, called the average run length ( ARL ), and the operating characteristic ( OC ). Both are measures of how quickly a chart will detect or react to a change in the process and can be used to compare control charting plans. Both these measures provide useful information about the operational performance of a control chart. We discuss the ARL and the OC of the well‐known Shewhart X chart when both the process mean and variance are known. The application of OC curves in acceptance sampling is also considered.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.