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使用辅助信息的混合HWMA-CUSUM图表的增强性能

Faiza Zubair¹, Rehan Ahmad Khan Sherwani², Muhammad Abid³

¹Higher Education Department, Lahore, Pakistan.

|September 15, 2023

概括

一个新的质量控制图表,MHCAIB,通过使用辅助信息来增强过程监控. 这种混合的同质加权移动平均累积和 (HWMA-CUSUM) 图表可以更好地检测小到中等的工艺转移.

科学领域:

工业工程工业工程工业工程
统计过程控制统计过程控制
质量管理质量管理.

背景情况:

质量控制 (QC) 对制造业和工业至关重要,确保产品质量和客户满意度.
统计过程控制 (SPC) 工具,特别是控制图表,对于监控工业过程至关重要.
持续需要先进的控制图表计划来加强高质量的监测.

研究的目的:

为了提高混合均质加权移动平均线 (HWMA) -累积和 (CUSUM) 控制图的性能.
通过整合基于辅助信息 (AIB) 的回归估计器,引入一种新的控制图,MHCAIB.
评估在流程监控中拟议的MHCAIB图表的效率和有效性.

主要方法:

混合均等加权移动平均线 (HWMA) -累积和 (CUSUM) 控制图的开发,与基于辅助信息 (AIB) 的回归估计器 (MHCAIB) 集成.
使用运行长度 (RL) 措施进行性能评估和比较.
将拟议的MHCAIB图表与现有的AIB图表进行比较,包括CUSUMAIB,EWMAAIB,MECAIB和HWMAAIB.

主要成果:

拟议的MHCAIB图表提供了对工艺位置的公正和更有效的估计.
基于运行长度的性能比较表明,与现有图表相比,MHCAIB图表在监测小到中等转移方面优越.
图表的表现表明,随着研究变量与辅助变量之间的相关性增加,图表的表现得到了改善.

结论:

MHCAIB图表代表了检测过程转移的质量控制的显著提升.
辅助信息的整合显著提高了HWMA-CUSUM控制图的效率.
拟议的图表为需要精确的工艺监控的工业应用提供了实际的好处.

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