Optimization design of a CUSUM control chart based on taguchi’s loss function
Optimization design of a CUSUM control chart based on taguchi’s loss function
复制标题
基于田口损失函数的CUSUM控制图优化设计
DOI：
10.1007/s00170-006-0803-0
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
P. Helo
中科院分区：
文献类型：
--
作者：
J. Jiao;P. Helo
CUSUM图表已广泛应用于各行业的统计过程控制（SPC）中，用于监控过程变化，支持在线测量和分布式计算。本文提出了一种CUSUM控制图的优化设计算法，用于检测过程的均值偏移。该算法通过最小化田口损失函数在随机过程均值漂移的概率分布上的总体均值（ML）来优化CUSUM图的样本量、采样间隔、控制极限和参考参数。阐述了与样本均值漂移指数有关的一个新特征。对比研究表明，本文提出的ML-CUSUM图在ML总体损失方面明显优于Shewhart ML图和传统的CUSUM图。
The CUSUM charts have been widely used in statistical process control (SPC) across industries for monitoring process shifts and supporting online measurement and distributed computing. This paper proposes an algorithm for the optimimal design of a CUSUM control chart detecting process shifts in the mean value. The algorithm optimizes the sample size, sampling interval, control limit and reference parameter of the CUSUM chart through minimizing the overall mean value (ML) of a Taguchi’s loss function over the probability distribution of the random process mean shift. A new feature related to the exponential of the sample mean shift is elaborated. Comparative studies reveal that the proposed ML-CUSUM chart is considerably superior to the Shewhart ML-chart and the conventional CUSUM chart in terms of the overall loss of ML.