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首页> 外文会议>IEEE International Conference on Industrial Engineering and Engineering Management >Optimal Design of Modified Group Runs Scheme with Estimated Process Parameters Based on Expected Average Number of Observations to Signal
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Optimal Design of Modified Group Runs Scheme with Estimated Process Parameters Based on Expected Average Number of Observations to Signal

机译：基于预期平均观测信号发信号的带有估计过程参数的改进群运行方案的优化设计

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摘要

The modified group runs (MGR) scheme has a superior performance to the Shewhart and synthetic control schemes, particularly in identifying small and moderate mean shifts in a process. Recently, the MGR scheme was studied using the average number of observations to signal (ANOS) criterion, under the scenario where the process parameters are unknown (Case-U). However, a setback of this study is that the exact shift size must be specified prior to the implementation of this scheme as this is required by the ANOS criterion. In most of the scenarios, practitioners do not have a good knowledge of the exact shift size. To tackle this issue, we propose the use of the expected average number of observations to signal (EANOS) criterion in evaluating the performance of the Case-U MGR scheme. We also proposed the optimal design of the MGR scheme with Case-U based on minimizing out-of-control (OOC) EANOS. Finally, we present an example of application and demonstrate that the proposed procedure eases the implementation of the MGR scheme with Case-U as it minimizes the risk of misspecifying the shift size.
机译：改进的小组运行（MGR）方案比Shewhart和综合控制方案具有更好的性能，特别是在确定过程中的中小平均偏差方面。最近，在过程参数未知的情况下（案例-U），使用平均发信号数（ANOS）标准研究了MGR方案。但是，这项研究的挫折之处在于，必须按照ANOS准则的要求，在实施此方案之前指定确切的班次大小。在大多数情况下，从业人员并不了解确切的班次大小。为了解决此问题，我们建议在评估Case-U MGR方案的性能时使用预期的平均观测信号数（EANOS）标准。我们还基于最小化失控（OOC）EANOS，提出了带有Case-U的MGR方案的优化设计。最后，我们提供了一个应用示例，并证明了所提出的过程简化了带有Case-U的MGR方案的实施，因为它最大程度地降低了错误指定班次大小的风险。

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