標題: | Capability adjustment or gamma processes with mean shift consideration in implementing Six Sigma program |
作者: | Hsu, Ya-Chen Pearn, W. L. Wu, Pei-Ching 工業工程與管理學系 Department of Industrial Engineering and Management |
關鍵字: | quality management;dynamic C(pk);gamma distribution;mean shift;process capability index |
公開日期: | 1-十二月-2008 |
摘要: | In the 1980s, Motorola, Inc. introduced its Six Sigma quality program to the world. Some quality practitioners questioned why the Six Sigma advocates claim it is necessary to add a 1.5 sigma shift to the process mean when estimating process capability. Bothe [Bothe, D.R., 2002. Statistical reason for the 1.5 sigma shift. Quality Engineering 14 (3), 479-487] provided a statistical reason for considering such a shift in the process mean for normal processes. In this paper, we consider gamma processes which cover a wide class of applications. For fixed sample size n, the detection power of the control chart can be computed. For small process mean shifts, it is beyond the control chart detection power, which results in overestimating process capability. To resolve the problem, we first examine Bothe's approach and find the detection power is less than 0.5 when data comes from gamma distribution, showing that Bothe's adjustments are inadequate when we have gamma processes. We then calculate adjustments under various sample sizes n and gamma parameter N, with power fixed to 0.5. At the end, we adjust the formula of process capability to accommodate those shifts which can not be detected. Consequently, our adjustments provide much more accurate capability calculation for gamma processes. For illustration purpose, an application example is presented. (C) 2007 Elsevier B. V. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.ejor.2007.07.023 http://hdl.handle.net/11536/8099 |
ISSN: | 0377-2217 |
DOI: | 10.1016/j.ejor.2007.07.023 |
期刊: | EUROPEAN JOURNAL OF OPERATIONAL RESEARCH |
Volume: | 191 |
Issue: | 2 |
起始頁: | 516 |
結束頁: | 528 |
顯示於類別: | 期刊論文 |