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One‐sided capability indices C PU and C PL : decision making with sample information

One‐sided capability indices C PU and C PL : decision making with sample information Process capability indices have been used in the manufacturing industry to provide quantitative measures on process potential and performance. The formulae for these indices are easy to understand and straightforward to apply. But, since sample data must be collected in order to calculate these indices, a great degree of uncertainty may be introduced into capability assessments due to sampling errors. Currently, most practitioners simply look at the value of the index calculated from the sample data and then make a conclusion on whether their processes meet the capability requirement. This approach is not reliable since sampling errors are ignored. Procedures for two-sided capability indices, Cp, Cpk, and Cpm have been developed to assist practitioners to determine whether their processes meet the capability requirement based on sample information. In this paper, we first obtain unbiased estimators of CPU and CPL. We then develop a procedure similar to those of Cp, Cpk, and Cpm, for the one-sided capability indices CPU and CPL. Practitioners can use the procedure to test whether their processes meet the capability requirement. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Quality & Reliability Management Emerald Publishing

One‐sided capability indices C PU and C PL : decision making with sample information

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References (9)

Publisher
Emerald Publishing
Copyright
Copyright © 2002 MCB UP Ltd. All rights reserved.
ISSN
0265-671X
DOI
10.1108/02656710210421544
Publisher site
See Article on Publisher Site

Abstract

Process capability indices have been used in the manufacturing industry to provide quantitative measures on process potential and performance. The formulae for these indices are easy to understand and straightforward to apply. But, since sample data must be collected in order to calculate these indices, a great degree of uncertainty may be introduced into capability assessments due to sampling errors. Currently, most practitioners simply look at the value of the index calculated from the sample data and then make a conclusion on whether their processes meet the capability requirement. This approach is not reliable since sampling errors are ignored. Procedures for two-sided capability indices, Cp, Cpk, and Cpm have been developed to assist practitioners to determine whether their processes meet the capability requirement based on sample information. In this paper, we first obtain unbiased estimators of CPU and CPL. We then develop a procedure similar to those of Cp, Cpk, and Cpm, for the one-sided capability indices CPU and CPL. Practitioners can use the procedure to test whether their processes meet the capability requirement.

Journal

International Journal of Quality & Reliability ManagementEmerald Publishing

Published: May 1, 2002

Keywords: Process control; Modelling; Quantitative techniques; Sampling techniques

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