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Optimal T~2 Control Chart with a Double Sampling Scheme - An Alternative to the MEWMA Chart

机译:具有双重采样方案的最优T〜2控制图-MEWMA图的替代方案

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摘要

Recent studies have shown that a double sampling (DS) scheme yields improvements in detection times of process shifts over variable ratio sampling (VRS) methods that have been extensively studied in the literature. Additionally, a DS scheme is more practical than some of the VRS methods since the sampling interval is fixed. In this paper, we investigate the effect of double sampling on cost, a criterion as important as detection rate. We study economic statistical design of the DS T~2 chart (ESD DS T~2) so that designs are found that are economically optimal but yet meet desired statistical properties such as having low probabilities of false searches and high probabilities of rapid detection of process shifts. Through an illustrative example, we show that relatively large benefits can be achieved in a comparison with the classical T~2 chart and the statistical DS T~2 charts with our ESD DS T approach. Furthermore, the economic performance of the ESD DS T~2 charts is favorably compared to the MEWMA and other VRS T~2 control charts in the literature.
机译:最近的研究表明,与在文献中已广泛研究的可变比率采样(VRS)方法相比,双采样(DS)方案可改善过程移位的检测时间。另外,由于采样间隔是固定的,因此DS方案比某些VRS方法更实用。在本文中,我们研究了双重抽样对成本的影响,成本与检测率一样重要。我们研究了DS T〜2图表(ESD DS T〜2)的经济统计设计,以便发现设计在经济上是最佳的,但仍满足所需的统计属性,例如虚假搜索的可能性低,而过程的快速检测的可能性高。转移。通过一个示例性的例子,我们表明,与采用我们的ESD DS T方法的经典T〜2图和统计DS T〜2图相比,可以获得相对较大的收益。此外,与文献中的MEWMA和其他VRS T〜2控制图相比,ESD DS T〜2图的经济性能更佳。

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