Binomial CUSUM chart with curtailment

被引:17
作者
Haridy, Salah [1 ,2 ]
Wu, Zhang [1 ]
Chen, Songlin [1 ]
Knoth, Sven [3 ]
机构
[1] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore
[2] Northeastern Univ, Dept Mech & Ind Engn, Boston, MA 02115 USA
[3] Helmut Schmidt Univ, Dept Econ & Social Sci, Hamburg, Germany
关键词
quality control; statistical process control; control chart; CUSUM chart; curtailment; OPTIMIZATION DESIGN; ECONOMIC DESIGN; SHIFTS; PROPORTION;
D O I
10.1080/00207543.2014.882026
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The binomial cumulative sum (CUSUM) chart has been widely used to monitor the fraction nonconforming (p) of a process. It is a powerful procedure for detecting small and moderate p shifts. This article proposes a binomial CUSUM control chart using curtailment technique (Curt_CUSUM chart in short). The new chart is able to improve the overall detection effectiveness while holding the false alarm rate at a specified level. The results of the comparative studies show that, on average, the Curt_CUSUM chart is more effective than the CUSUM chart without curtailment by 30%, in terms of Average Number of Defectives, under different circumstances. The Curt_CUSUM chart can be applied to a 100% inspection as well as a general random sampling inspection.
引用
收藏
页码:4646 / 4659
页数:14
相关论文
共 50 条
[1]   Control charts for health care monitoring under overdispersion [J].
Albers, Willem .
METRIKA, 2011, 74 (01) :67-83
[2]  
Bounds G. M., 1988, THESIS U TENNESSEE K
[4]   Sample size and the Binomial CUSUM Control Chart: the case of 100% inspection [J].
Bourke, PD .
METRIKA, 2001, 53 (01) :51-70
[5]  
British Standard Institution, 1985, BSI HDB, V24
[6]   Detection of temporal changes in psychophysiological data using statistical process control methods [J].
Cannon, Jordan ;
Krokhmal, Pavlo A. ;
Chen, Yong ;
Murphey, Robert .
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE, 2012, 107 (03) :367-381
[7]  
Castillo E. D., 1995, INT J PROD RES, V33, P2709
[8]   The density control chart: a general approach for constructing a single chart for simultaneously monitoring multiple parameters [J].
Chen, Hung-Chia ;
Yeh, Arthur B. ;
Yen, Chia-Ling ;
Chen, Lin-An .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2012, 50 (14) :3904-3919
[9]  
DONDERO C, 1991, QUAL PROG, V24, P43