A Close Form Solution for the Product Acceptance Determination Based on the Popular Index Cpk
Article first published online: 25 JUN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
Quality and Reliability Engineering International
Volume 29, Issue 5, pages 719–723, July 2013
How to Cite
Pearn, W. L. and Wu, C. H. (2013), A Close Form Solution for the Product Acceptance Determination Based on the Popular Index Cpk. Qual. Reliab. Engng. Int., 29: 719–723. doi: 10.1002/qre.1423
- Issue published online: 25 JUL 2013
- Article first published online: 25 JUN 2012
- Manuscript Accepted: 20 APR 2012
- Manuscript Received: 1 APR 2012
- critical acceptance value;
- multiple characteristics;
- product acceptance determination;
- required sample size
Product acceptance determinations are practical tools for quality control applications involving quality contract on product orders between the vendor and the buyer. It provides the vendor and the buyer rules for product acceptance to meet the preset product quality requirement. As the rapid advancement of manufacturing technology, more than one quality characteristic must be simultaneously considered to improve the product quality because of the product design. In this article, we introduce an efficient product acceptance procedure on the basis of the generalization index, to deal with lot sentencing problem with very low fraction of defectives. We tabulate the required sample size n and the corresponding critical acceptance value c0 for various α-risk, β-risk, and the levels of the lot fraction of defectives that correspond to acceptance and rejecting quality levels. Practitioners can use the proposed method to make reliable decisions in product acceptance. Copyright © 2012 John Wiley & Sons, Ltd.