International Journal of Production Research最新文献

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Optimal designs of the omnibus SPRT control chart for joint monitoring of process mean and dispersion 过程均值与离散度联合监控的综合SPRT控制图优化设计

2区工程技术 Q1 ENGINEERING, INDUSTRIAL

International Journal of Production Research

Pub Date : 2023-09-11 DOI: 10.1080/00207543.2023.2254855

Jing Wei Teoh, Wei Lin Teoh, Michael B.C. Khoo, Giovanni Celano, Zhi Lin Chong

The vast majority of control schemes related to the sequential probability ratio test (SPRT) are designed for the purpose of monitoring only the process mean. Nonetheless, most manufacturing processes are vulnerable to external factors that cause the process mean and variability to change simultaneously. It is, therefore, crucial to consider a joint scheme for monitoring both the location and scale parameters of a production process. In this article, we develop a scheme that combines both mean and variance information in a single SPRT, known as the omnibus SPRT (OSPRT) chart. Expressions for the run-length properties of the OSPRT chart are derived by means of the Markov chain approach. We also propose optimal designs for the OSPRT chart based on two different metrics, i.e. by minimising the average time to signal and the average extra quadratic loss. Through a comprehensive analysis, this article reveals that the optimal OSPRT chart outperforms the classical X¯-S, weighted-loss cumulative sum, absolute-value SPRT, and two maximum weighted-moving-average-type charts. The optimal OSPRT chart also has the advantage of collecting a small number of samples on average before producing a decision. Finally, the implementation of the OSPRT chart is presented with a wire bonding industrial dataset.

绝大多数与序列概率比检验(SPRT)相关的控制方案都是为了监测过程均值而设计的。尽管如此，大多数制造过程容易受到导致过程平均值和可变性同时变化的外部因素的影响。因此，至关重要的是要考虑一项联合计划，以监测生产过程的地点和规模参数。在本文中，我们开发了一种方案，将均值和方差信息结合在单个SPRT中，称为综合SPRT (OSPRT)图。利用马尔可夫链方法导出了OSPRT图的游程性质表达式。我们还提出了基于两个不同指标的OSPRT图的优化设计，即最小化平均信号时间和平均额外二次损失。通过综合分析，本文发现最优的OSPRT图优于经典的X¯-S图、加权损失累计和图、绝对值SPRT图和两个最大加权移动平均图。最优的OSPRT图还具有在产生决策之前平均收集少量样本的优点。最后，利用一个线接工业数据集给出了OSPRT图的实现。

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