摘要
为了提高MEWMA控制图的监控效率,提出了一种基于威布尔分布函数的自适应MEWMA图构造方法,以平均产品长度和单位产品质量成本为目标函数,从统计性和经济性两方面建立了自适应MEWMA图优化设计模型,并采用逼近理想解排序法给出了面向一个偏移区间范围的多目标优化步骤。最后,将本文提出的自适应MEWMA图方法与其它两种自适应多元控制图和已有的MEWMA经济统计设计分别进行比较,结果表明该自适应MEWMA图多目标优化设计在统计性能和经济性能上均具有明显的优势。
Control chart is a common statistical quality control method widely used in quality management activities of various production and service processes.For the monitoring of two or more interrelated quality characteristics,the method of multivariate control charts is usually used.With the increasing complexity of production and service processes,multivariate control charts have received increasing attention in the field of quality control.In recent years,there have been many studies on improving and optimizing their monitoring efficiency.The exponential weighted moving average method can fully utilize current and historical sampling detection data to identify trends in process changes.Therefore,MEWMA chart constructed by combining EWMA and commonly used multivariate Hotelling statistics can still be regarded as an effective multivariate quality monitoring method.In practical applications,the various control chart parameters of MEWMA remain unchanged,making it simple to apply but there is still room for further improvement in its monitoring efficiency.Therefore,this article adopts the Weibull cumulative distribution function to construct an adaptive MEWMA chart that can dynamically adjust the EWMA smoothing coefficient based on sampling data.The statistical and economic performance evaluation indicators of the control chart are relatively accurate average product length(APL)and unit product average quality cost.The calculation method of these two indicators is studied,and an adaptive MEWMA chart economic-statistical multi-objective optimization design model for a specific shift is constructed with both as objective functions.In practical applications,abnormal shifts that may occur during the process are often difficult to determine in advance,and only the approximate range of shift degree can be known.Therefore,constructing a monitoring plan for a specific shift range rather than a specific shift is more in line with practical application needs.In a certain shift range,this article first selects multiple representat
作者
王海宇
WANG Haiyu(Business School,Zhengzhou University,Zhengzhou 450001,China)
出处
《运筹与管理》
CSCD
北大核心
2024年第3期8-14,共7页
Operations Research and Management Science
基金
国家自然科学基金资助项目(71672209,U1904211)
国家社会科学基金资助项目(20BTJ059)。
