A research note on the estimated incapability index
DOI:
https://doi.org/10.2298/YJOR0902215LKeywords:
Contaminated normal process, incapability indexAbstract
Process incapability index, which provides an uncontaminated separation between information concerning the process accuracy and the process precision, has been proposed to the manufacturing industry for measuring process performance. Contributions concerning the estimated incapability index have focused on single normal process in existing quality and statistical literature. However, the contaminated model is more appropriate for real-world cases with multiple manufacturing processes where the raw material, or the equipment may not be identical for each manufacturing process. Investigations based on contaminated normal processes are considered. Sampling distributions and r-th moments of the estimated index are derived. The proposed model will facilitate quality engineers on process monitor and performance assessment.References
Boyles, R.A., “The Taguchi capability index,” Journal of Quality Technology, 23 (1991) 17-26.
Chan, L.K., Cheng, S.W., and Spiring, F.A., “A new measure of process capability: Cpm,” Journal of Quality Technology, 20 (1988) 162-175.
Chen, K.L., Chen, K.S., and Li, R.K., “Suppliers capability and price analysis chart,” International Journal of Production Economics, 98 (2005) 315-327.
Chou, Y.M., and Owen, D.B., “On the distributions of the estimated process capability indices,” Communication in Statistics - Theory and Methods, 18 (1989) 4549-4560.
Greenwich, M., and Jahr-Schaffrath, B.L., “A process incapability index,” International Journal of Quality & Reliability Management, 12 (1995) 58-71.
Johnson, T., “The relationship of Cpm to squared error loss,” Journal of Quality Technology, 24 (1992) 215-221.
Kane, V.E., “Process capability indices,” Journal of Quality Technology, 18 (1986) 41-52.
Kotz, S., Pearn, W.L., and Johnson, N.L., “Some process capability indices are more reliable than one might think,” Applied Statistics, 42 (1993) 55-62.
Lin, G.H., “Upper limits of the estimated incapability index: A practical application on the reliability assessment of the printed circuit boards,” The International Journal of Advanced Manufacturing Technology, 24 (2004) 841-846.
Lin, G.H., “Process reliability assessment with a Bayesian approach,” The International Journal of Advanced Manufacturing Technology, 25 (2005) 392-395.
Lin, G.H., “A random interval estimation on the estimated process accuracy index,” The International Journal of Advanced Manufacturing Technology, 27 (2006a) 969-974.
Lin, G.H., “Assessing process performance with incapability index based on multiple samples,” The International Journal of Advanced Manufacturing Technology, 27 (2006b) 715-719.
Lin, G.H., “A Bayesian approach based on multiple samples for measuring process performance with incapability index,” International Journal of Production Economics, 106 (2007) 506-512.
Pearn, W.L., Kotz, S., and Johnson, N.L., “Distributional and inferential properties of process capability indices,” Journal of Quality Technology, 24 (1992) 216-231.
Pearn, W.L., and Lin, G.H., “On the reliability of the estimated process incapability index,” Quality & Reliability Engineering International, 17 (2001) 279–290.
Pearn, W.L., and Lin, G.H., “Estimated incapability index: Reliability and decision making with sample information,” Quality & Reliability Engineering International, 18 (2002) 141-147.
Pearn, W.L., Lin, G.H., and Chen, K.S., “Distributional and inferential properties of the process accuracy and process precision indices,” Communications in Statistics – Theory and Methods, 27 (1998) 985–1000.
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