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Average Run Lengths And Operating Characteristic Curves

Schalk William Human, M. A. Graham
Published 2008 · Computer Science
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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. Keywords: run length; average run length; signal; operating characteristic; OC curve; control chart; false alarm rate; acceptance sampling

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