期刊
JOURNAL OF QUALITY TECHNOLOGY
卷 38, 期 4, 页码 349-364出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/00224065.2006.11918623
关键词
ARL; conditional distribution; marginal distribution; phase I; phase II; run-length performance; sample size; Shewhart chart; statistical process control
Control charts are powerful tools used to monitor the quality of processes. In practice, control chart limits are often calculated using parameter estimates from an in-control Phase I reference sample. In Phase II of the monitoring scheme, statistics based on new samples are compared with the estimated control limits to monitor for departures from the in-control state. Many studies that evaluate control chart performance in Phase II rely on the assumption that the in-control parameters are known. Although the additional variability introduced into the monitoring scheme through parameter estimation is known to affect the chart performance, many studies do not consider the effect of estimation on the performance of the chart. This paper contains a review of the literature that explicitly considers the effect of parameter estimation on control chart properties. Some recommendations are made and future research ideas in this area are provided.
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