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

Computer Modeling in Engineering & Sciences 2022年第5期131卷 1171-1195页

作者： Xuechen Liu Majid Khan Zahid Rasheed Syed Masroor Anwar Muhammad Arslan Faculty of Economics Taiyuan Normal UniversityTaiyuan030619China Department of Mathematics and Statistics Riphah International UniversityIslamabad44000Pakistan Department of Mathematics Women University of Azad Jammu and KashmirBagh12500Pakistan Department of Statistics University of Azad Jammu and KashmirMuzaffarabad13100Pakistan School of Statistics Shanxi University of Finance and EconomicsTaiyuan030619China

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 *** paper aims to develop two new uppersided HEWMAcharts for monitoring shifts in process variance,i.e.,HEWMA1 and HEWMA2 *** design structures of the proposed HEWMA1 and HEWMA2 charts are based on the concept of integrating the features of two ***1 and HEWMA2charts plotting statistics are developed using one EWMAstatistic as input for the other *** 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 *** 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 *** 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 *** comparison reveals that the proposed HEWMA1 and HEWMA2 charts achieve better detection ability against the existing *** 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

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