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Detecting the process' 1.5 sigma shift: A quantitative study.

机译：检测过程的1.5 sigma偏移：定量研究。

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摘要

Process behavior can change with time. In this study an attempt was made to discover whether the Six Sigma(TM) claim of changes in the process mean stayed within +/- 1.5 sigma units. Several process groups were examined for a particular firm that made metal castings, machined parts, tested major components and assembled these into a vehicle that was a product sold to the customer. As the assembly progressed, deficiencies were identified and recorded. Analyses employed cumulative sum (CUSUM) sequence charts, Autoregressive Integrated Moving Average (ARIMA) time series analyses, minimum mean square error (MMSE) exponentially weighted moving average (EWMA), Shewhart control charts and Analysis of Variance (ANOVA) to identify the shift in the process mean, M/sw, the duration of the shift, lambdaB, and the proper choice of EWMA smoothing coefficient, lambdaEWMA. Kruskal-Wallis analysis of the relationship of these measures to process group (assembly, foundry, heat treatment, machining, shaving, test machine, grinding, turning, warranty and yield) was also performed. The method used was generally applicable for all these processes. The process group and the ARIMA type also influenced the measurement of M/sw, lambdaB, and lambda EWMA.
机译：过程行为会随着时间而改变。在该研究中，试图发现过程均值变化的6 Sigma TM主张是否保持在+/- 1.5 sigma单位内。对特定公司的几个过程组进行了检查，这些公司制造金属铸件，机加工零件，测试主要部件并将它们组装成车辆，然后将其出售给客户。随着组装的进行，发现并记录了缺陷。分析使用累积总和（CUSUM）序列图，自回归综合移动平均（ARIMA）时间序列分析，最小均方误差（MMSE）指数加权移动平均（EWMA），Shewhart控制图和方差分析（ANOVA）来识别移动过程均值M / sw，移位持续时间lambdaB以及EWMA平滑系数lambdaEWMA的正确选择。还对这些措施与工艺组（组装，铸造，热处理，机加工，剃毛，试验机，磨削，车削，保修和成品率）之间的关系进行了Kruskal-Wallis分析。所使用的方法通常适用于所有这些过程。处理组和ARIMA类型也影响M / sw，lambdaB和lambda EWMA的测量。

著录项

  • 作者

    Stevenson, James R.;

  • 作者单位

    University of Northern Iowa.;

  • 授予单位 University of Northern Iowa.;
  • 学科 Applied Mathematics.;Operations Research.;Statistics.
  • 学位 D.I.T.
  • 年度 2009
  • 页码 123 p.
  • 总页数 123
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 冶金工业;
  • 关键词

  • 入库时间 2022-08-17 11:38:14

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