Ranked-Set Sampling Based Distribution Free Control Chart with Application in CSTR Process

作     者：Ibrahim M.Almanjahie Zahid Rasheed Majid Khan Syed Masroor Anwar Ammara Nawaz Cheema 

作者机构：Department of MathematicsCollege of ScienceKing Khalid UniversityAbha62529Saudi Arabia Statistical Research and Studies Support UnitKing Khalid UniversityAbha62529Saudi Arabia School of Mathematics and StatisticsXi’an Jiaotong University ChinaXi’an710049China Department of MathematicsWomen University of Azad Jammu and KashmirBagh12500Pakistan Government Post Graduate CollegeHaripur22620Pakistan Department of StatisticsUniversity of Azad Jammu and KashmirMuzaffarabad13100Pakistan Department of MathematicsAir UniversityIslamabad44000Pakistan 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2023年第135卷第6期

页      面：2091-2118页

核心收录：

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 

基　　金：Funds are available under the Grant No.RGP.2/132/43 at King Khalid University Kingdom of Saudi Arabia 

主　　题：Nonparametric control charts run-length ranked set sampling Wilcoxon signed-rank 

摘      要：Nonparametric(distribution-free)control charts have been introduced in recent years when quality characteristics do not follow a specific *** the sample selection is prohibitively expensive,we prefer ranked-set sampling over simple random sampling because ranked set sampling-based control charts outperform simple random sampling-based control *** this study,we proposed a nonparametric homogeneously weighted moving average based on theWilcoxon signed-rank test with ranked set sampling(NPHWMARSS)control chart for detecting shifts in the process location of a continuous and symmetric *** Carlo simulations are used to obtain the run length characteristics to evaluate the performance of the proposed NPHWMARSS control *** proposed NPHWMARSS control chart’s performance is compared to that of parametric and nonparametric control *** control charts include the exponentially weighted moving average(EWMA)control chart,Wilcoxon signed-rank with simple random sampling based the nonparametric EWMA control chart,the nonparametric EWMA sign control chart,Wilcoxon signed-rank with ranked set sampling-based the nonparametric EWMA control chart,and the homogeneously weighted moving average control *** findings show that the proposed NPHWMARSS control chart performs better than its competitors,particularly for the small ***,an example is presented to demonstrate how the proposed scheme can be implemented practically.