基于简易测量方法的VSI-EWMA-NPX图多目标优化设计  

Multi-objective Optimization Design of VSI-EWMA-NPX Chart Based on Simple Measurement

作　　者：王海宇 WANG Haiyu(Business School,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学商学院,河南郑州450001

出　　处：《运筹与管理》2024年第4期28-34,I0003-I0005,共10页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71672209);国家自然科学基金联合基金重点项目(U1904211);国家社会科学基金资助项目(20BTJ059)。

摘　　要：为了提高np_(x)图对过程异常波动的监控效率,结合可变抽样间隔(VSI)动态控制图和指数加权移动平均(EWMA)图的设计方法,构造了一种能够以较低的质量成本实现对异常波动的具有较高检测能力的VSI-EWMA-NPX控制图,研究了平均产品长度(APL)和单位产品平均质量成本的计算方法,并由此构建了VSI-EWMA-NPX图的经济统计多目标优化设计模型。通过一个具体的算例说明了该优化设计模型的计算步骤并与已有的几种控制图方法进行比较,结果表明:本文提出的优化设计方法在统计性监控效率和经济性质量成本两方面都具有良好的表现。As an effective statistical quality management tool,control charts have been widely used in production and service processes.In recent years,there have been many studies on optimization and reconstruction of control charts to improve monitoring performance or reduce application costs.Control charts can generally be divided into two types:metric and count.The metric type is for continuous variables and requires more accurate measurements,while the count type is for discrete variables and only requires statistics on the number of pieces or points,so the measurement cost is often lower.Therefore,when the measurement cost of a quality characteristic is high or the time required is long,applying count control chart to monitor continuous variables can be an effective method to reduce costs.np_(x) chart is a method of monitoring continuous quality characteristics using a non-conforming product quantity control chart.Compared to traditional Shewhart control charts,it has lower quality monitoring costs but poorer detection effects on abnormal shifts.In order to transform the measurement of continuous variables into simple and fast count type measurements,a simple measurement device with upper and lower warning limits is constructed.Based on the number of samples passing through the measurement device in a set of samples,a count type statistic following a binomial distribution is constructed.In order to improve control chart monitoring efficiency of process abnormal shifts,a variable sampling interval exponential weighted moving average np_(x)(VSI-EWMA-NPX)control chart is constructed by combining the design ideas of dynamic control chart and exponential weighted moving average control chart,which can achieve high detection ability for abnormal shifts at a lower quality cost.On this basis,the statistical performance and economic performance of the control chart are evaluated using relatively accurate average product length(APL)and unit product average quality cost.The calculation methods of these two indicators are studied

关 键 词：np_(x)控制图 EWMA图 动态控制图 平均产品长度 多目标优化 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]