New Hybrid EWMA Charts for Efficient Process Dispersion Monitoring with Application in Automobile Industry  

作　　者：Xuechen Liu Majid Khan Zahid Rasheed Syed Masroor Anwar Muhammad Arslan 

机构地区：[1]Faculty of Economics,Taiyuan Normal University,Taiyuan,030619,China [2]Department of Mathematics and Statistics,Riphah International University,Islamabad,44000,Pakistan [3]Department of Mathematics,Women University of Azad Jammu and Kashmir,Bagh,12500,Pakistan [4]Department of Statistics,University of Azad Jammu and Kashmir,Muzaffarabad,13100,Pakistan [5]School of Statistics,Shanxi University of Finance and Economics,Taiyuan,030619,China

出　　处：《Computer Modeling in Engineering & Sciences》2022年第5期1171-1195,共25页工程与科学中的计算机建模（英文）

基　　金：2019 Shanxi Province Soft Science Research Program Project“Research on Sustainable Development Capacity and Classification Construction of Shanxi Development Zone”(Project No.2019041005-2).

摘　　要：The EWMAcharts are thewell-knownmemory-type charts used formonitoring the small-to-intermediate shifts in the process parameters(location and/or dispersion).The hybrid EWMA(HEWMA)charts are enhanced version of the EWMA charts,which effectivelymonitor the process parameters.This paper aims to develop two new uppersided HEWMAcharts for monitoring shifts in process variance,i.e.,HEWMA1 and HEWMA2 charts.The design structures of the proposed HEWMA1 and HEWMA2 charts are based on the concept of integrating the features of two EWMAcharts.TheHEWMA1 and HEWMA2charts plotting statistics are developed using one EWMAstatistic as input for the other EWMAstatistic.AMonte Carlo simulations method is used as a computational technique to determine the numerical results for the performance characteristics,such as average run length(ARL),median run length,and standard deviation run length(SDRL)for assessing the performance of the proposed HEWMA1 and HEWMA2 charts.In addition,to evaluate the overall performance of the proposed HEWMA1 and HEWMA2 charts,other numerical measures consisting of the extra quadratic loss(EQL),relative average run length(RARL),and performance comparison index(PCI)are also computed.The proposed HEWMA1 and HEWMA2 charts are compared to some existing charts,such as CH,CEWMA,HEWMA,AEWMAHHW1,HHW2,AIB-EWMA-I,and AIB-EWMA-II charts,on the basis aforementioned numerical measures.The comparison reveals that the proposed HEWMA1 and HEWMA2 charts achieve better detection ability against the existing charts.In the end,a real-life data application is also provided to enhance the implementation of the proposed HEWMA1 and HEWMA2 charts practically.

关 键 词：Average run length extra quadratic loss memory-type charts Monte Carlo simulations smoothing parameter 

分 类 号：TB114.3[理学—概率论与数理统计]