Procedure of the convolution method for estimating production yield with sample size information

W.l. Pearn, Hui-Nien Hung, Ya Ching Cheng, Gu Hong Lin

研究成果: Article同行評審

12 引文 斯高帕斯(Scopus)

摘要

The yield index S pk proposed by Boyles (1994. Process capability with asymmetric tolerances. Communications in Statistics-Simulation and Computation, 23 (1), 615-643) provides an exact measure on the production yield of normal processes. Lee et al. (Lee, J.C., Hung, H.N., Pearn, W.L. and Kueng, T.L., 2002. On the distribution of the estimated process yield index S pk . Quality and Reliability Engineering International, 18 (2), 111-116) considered a normal approximation for estimating S pk . In this paper, we consider a convolution approximation for estimating S pk , and compare with the normal approximation. The comparison results show that the convolution method does provide a more accurate estimation to Spk as well as the production yield than the normal approximation. An efficient step-by-step procedure based on the convolution method is developed to illustrate how to estimate the production yield. Also investigated is the accuracy of the convolution method which provides useful information about sample size required for designated power levels, and for convergence.

原文English
頁(從 - 到)1245-1265
頁數21
期刊International Journal of Production Research
48
發行號5
DOIs
出版狀態Published - 1 1月 2010

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