AN EWMA FOR MONITORING A PROCESS STANDARD-DEVIATION

被引:239
作者
CROWDER, SV [1 ]
HAMILTON, MD [1 ]
机构
[1] PRICE WATERHOUSE & CO,DIV MFG MANAGEMENT,COSTA MESA,CA 92628
关键词
INTEGRAL EQUATION; LOCATION PARAMETER; LOG-GAMMA-DISTRIBUTION; SCALE PARAMETER;
D O I
10.1080/00224065.1992.11979369
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Most applications of the exponentially weighted moving average (EWMA) for process monitoring have concentrated on the problem of detecting shifts in the mean level of a process. Perhaps more important is the problem of detecting increases in process variability, which can also have a major impact on product quality. In this paper we propose using an EWMA based on the log transformation of the sample variance. Properties of this EWMA are given and an optimal design strategy is presented. It is shown that the EWMA is superior to the usual range chart or s2 chart in terms of its ability to quickly detect small increases in the standard deviation of a normal process.
引用
收藏
页码:12 / 21
页数:10
相关论文
共 18 条
[1]  
Abramowitz M., 1965, HDB MATH FUNCTIONS
[2]  
Baker C.T.H., 1977, NUMERICAL TREATMENT
[3]  
BOX GEP, 1978, STATISTICS EXPT
[4]   A GENERALIZED QUALITY-CONTROL PROCEDURE [J].
CHAMP, CW ;
WOODALL, WH ;
MOHSEN, HA .
STATISTICS & PROBABILITY LETTERS, 1991, 11 (03) :211-218
[5]  
Crowder S. V., 1987, TECHNOMETRICS, V29, P393
[6]   DESIGN OF EXPONENTIALLY WEIGHTED MOVING AVERAGE SCHEMES [J].
CROWDER, SV .
JOURNAL OF QUALITY TECHNOLOGY, 1989, 21 (03) :155-162
[7]   AVERAGE RUN LENGTHS OF EWMA CONTROL CHARTS FOR MONITORING A PROCESS STANDARD-DEVIATION [J].
HAMILTON, MD ;
CROWDER, SV .
JOURNAL OF QUALITY TECHNOLOGY, 1992, 24 (01) :44-50
[8]   A CUSUM FOR A SCALE PARAMETER [J].
HAWKINS, DM .
JOURNAL OF QUALITY TECHNOLOGY, 1981, 13 (04) :228-231
[9]  
LAWLESS JF, 1982, STATISTICAL MODELS M
[10]  
LUCAS JM, 1990, TECHNOMETRICS, V32, P1, DOI 10.2307/1269835