中北大学学报（自然科学版）2025，Vol.46Issue(5)：601-610,10.DOI:10.62756/jnuc.issn.1673-3193.2023.07.0015
单边MOEWMA CV控制图及其在合金烧结工艺中的应用
One-Sided Modified EWMA CV Charts and Its Application in Alloy Sintering Process
摘要
Abstract
In some financial,textile and industrial processes,when the process mean μ or standard devia-tion σ changes and there is a fixed proportional relationship,the process is still in-control.In these cases,it is difficult to use the traditional mean(Xˉ)or variance(S2)chart for the effective monitoring of the pro-cesses.Using control charts to monitor process Coefficient of Variation(CV)can solve this problem effec-tively.In order to improve the performance of existing Exponentially Weighted Moving Average(EWMA)CV control chart,we considered the sample CV fluctuations at different times,and used coeffi-cients to control the weight of the fluctuations in the monitoring statistic.A one-sided Modified EWMA(MOEWMA)control chart was proposed to monitor CV.Due to the complexity of the proposed monitor-ing statistic,based on 104 times simulations,this paper used Monte Carlo method to simulate the Run Length(RL).For different parameter combinations,the corresponding control limits were calculated by using the bisection algorithm.The optimal parameter combinations(λ,K)and the corresponding ARL1 of the control chart were designed by satisfying the desired ARL0 for different parameter changes.Based on the designed parameters,the ARL performance of MOEWMA CV control chart was simulated and com-pared with the EWMA CV chart.The simulation results show that the MOEWMA CV is superior to the EWMA CV control chart for downward changes(τ∈{0.5,0.65,0.8,0.9})and upward small(τ=1.1)and medium(τ∈{1.25,1.5})changes.Finally,the performance advantage of the proposed MOEWMA CV chart was verified in monitoring the actual alloy sintering process.关键词
EWMA/MOEWMA/变异系数/蒙特卡罗仿真/运行链长Key words
EWMA/MOEWMA/coefficient of variation/Monte Carlo simulation/run length分类
通用工业技术引用本文复制引用
胡雪龙,夏凡,张素颖..单边MOEWMA CV控制图及其在合金烧结工艺中的应用[J].中北大学学报（自然科学版）,2025,46(5):601-610,10.基金项目
国家自然科学基金资助项目(71802110,72101123) （71802110,72101123）
江苏省自然科学基金资助项目(BK20200750) （BK20200750）
江苏省研究生科研与实践创新计划项目(KYCX23_0945) （KYCX23_0945）
