Efficiency enhancement of the modified EWMA control method with conditional expected delay for change detection in processes

IF 1.3 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-15 DOI:10.3389/fams.2023.1268340
Nasrullah Khan, Muhammad Aslam, Mohammed Albassam
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Abstract

This study investigates the efficiency of a modified exponentially weighted moving average (EWMA) control method using conditional expected delay to improve its efficiency in detecting changes in a process over time. While the modified EWMA control method is commonly used for this purpose, it can sometimes experience delays in detecting changes. The proposed method aims to address this limitation by incorporating conditional expected delay. The study utilizes simulations to conduct a performance comparison between the modified EWMA control method and the conventional EWMA control, employing the metric of conditional expected delay. Simulation results demonstrate the modified EWMA control method with conditional expected delay in terms of accurately and rapidly detecting changes. Overall, this study concludes that the integration of conditional expected delay into the modified EWMA control method can increase its effectiveness in detecting changes in a process. This has significant practical implications for a variety of industries that require timely and accurate detection of changes to maintain product quality and optimize processes.
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基于条件期望延迟的改进EWMA控制方法在过程变化检测中的效率提高
本文研究了一种改进的指数加权移动平均(EWMA)控制方法的效率,该方法使用条件期望延迟来提高其检测过程随时间变化的效率。虽然改进的EWMA控制方法通常用于此目的,但它有时会在检测变化时遇到延迟。提出的方法旨在通过合并条件预期延迟来解决这一限制。采用条件期望延迟度量,通过仿真对改进的EWMA控制方法与传统EWMA控制方法进行性能比较。仿真结果表明,基于条件期望延迟的改进EWMA控制方法能够准确、快速地检测变化。综上所述,本研究认为将条件期望延迟整合到改进的EWMA控制方法中可以提高其检测过程变化的有效性。这对于需要及时和准确地检测变化以保持产品质量和优化过程的各种行业具有重要的实际意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Frontiers in Applied Mathematics and Statistics
Frontiers in Applied Mathematics and Statistics Mathematics-Statistics and Probability
CiteScore
1.90
自引率
7.10%
发文量
117
审稿时长
14 weeks
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