Properties and performance of one-sided cumulative count of conforming chart with parameter estimation in high-quality processes
The one-sided cumulative count of conforming (CCC) chart is a useful method to monitor nonconforming fraction in high-quality manufacturing processes. The nonconforming fraction parameter is assumed to be known when implementing a one-sided CCC chart. In this study, we investigated
the impact of estimated nonconforming fraction, [pcirc]
0, in a one-sided CCC chart. The run length distribution is derived as well as the conditional probability of a false alarm rate (CFAR), conditional average run length (CARL) and its standard deviation (CSDRL). Simulation
results are conducted to evaluate the effect of [pcirc]
0 in a one-sided CCC chart. The results show that values of CFAR, CARL and CSDRL are close to the nominal values for a large sample. The impact of estimation errors was also studied. We find that CFAR decreases for large
[pcirc]
0. Thus, a large value of [pcirc]
0 is suggested for fewer false alarms.
Keywords: CCC chart; average run length; geometric distribution; high-quality process; one-sided design; parameter estimation
Document Type: Research Article
Affiliations: Department of Industrial Engineering and Management, National Yunlin University of Science and Technology, Yunlin, 64002, Taiwan, ROC
Publication date: 01 November 2013
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