A New Variable Sampling Control Scheme at Fixed Times for Monitoring the Process Dispersion

被引:12
作者
Shi, Lihui [1 ,2 ,3 ]
Zou, Changliang [1 ,2 ]
Wang, Zhaojun [1 ,2 ]
Kapur, Kailash C. [3 ]
机构
[1] Nankai Univ, Sch Math Sci, LPMC, Tianjin 300071, Peoples R China
[2] Nankai Univ, Sch Math Sci, Dept Stat, Tianjin 300071, Peoples R China
[3] Univ Washington, Seattle, WA 98195 USA
关键词
statistical process control; control charts; variable sampling rate charts; sequential sampling; CONTROL CHARTS; EWMA;
D O I
10.1002/qre.1014
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The variable sampling rate (VSR) schemes for detecting the shift in process mean have been extensively analyzed; however, adding the VSR feature to the control charts for monitoring process dispersion has not been thoroughly investigated. In this research, a novel VSR control scheme, sequential exponentially weighted moving average inverse normal transformation (EWMA INT) at fired times chart (called (SEIFT) chart), which integrates the sequential EWMA scheme at fix times with the INT statistic, is proposed to detect both the increase and decrease in process dispersion. Moreover, the sample size at each sampling time is also allowed to vary. The Markov chain method is used to evaluate the performance of this flew control chart. Numerical analysis reveals that this SEIFT chart gives significant improvement on detection ability than the fixed sampling rate schemes. Compared with other control schemes, the good properties of the INT statistic makes this SEIFT chart easy to design and convenient to implement. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:961 / 972
页数:12
相关论文
共 19 条
[1]   A comparison of control charting procedures for monitoring process dispersion [J].
Acosta-Mejia, CA ;
Pignatiello, JJ ;
Rao, BV .
IIE TRANSACTIONS, 1999, 31 (06) :569-579
[2]  
[Anonymous], 2004, INTRO STAT QUALITY C
[3]  
Arnold JC, 2001, J QUAL TECHNOL, V33, P66
[4]  
BROOK D, 1972, BIOMETRIKA, V59, P539
[5]   A CUMULATIVE SUM CONTROL CHART FOR MONITORING PROCESS VARIANCE [J].
CHANG, TC ;
GAN, FF .
JOURNAL OF QUALITY TECHNOLOGY, 1995, 27 (02) :109-119
[6]  
CHANG TC, 1992, J STAT COMPUT SIM, V49, P33
[7]  
Chen GM, 2001, J QUAL TECHNOL, V33, P223
[8]   AN EWMA FOR MONITORING A PROCESS STANDARD-DEVIATION [J].
CROWDER, SV ;
HAMILTON, MD .
JOURNAL OF QUALITY TECHNOLOGY, 1992, 24 (01) :12-21
[9]   Adaptive (X)over-bar control charts with sampling at fixed times [J].
Lin, YC ;
Chou, CY .
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2005, 21 (02) :163-175
[10]  
LUCAS JM, 1990, TECHNOMETRICS, V32, P1, DOI 10.2307/1269835