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《Mathematics in Practice and Theory》 2007-12
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An EWMA Standard Deviation Control Chart With Variable Sampling Intervals

JI Ming-ming1, SUN Hao2 (1.School of Mathematics & Physics Science,Xuzhou Institute of Technology,Xuzhou 221008,China)(2.Dept.of Applied Mathematics,Northwestern Polytechnical University,Xi′an 710072,China)  
This paper proposes an exponentially weighted moving average control chart with variable sampling intervals for monitoring a process standard deviation,giving the formula of the average time to signal using the Markov-chain method.In the meantime,the author compares this chart with the fixed sampling interval control chart.Datum show that this proposed chart is more efficient in detecting shifts and thus can reduce the off target products.
【Fund】: 国家自然科学基金(79970022);; 航空科学基金(02J53079);; 陕西省自然科学基金(N5CS0002)
【CateGory Index】: O212.2
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【References】
Chinese Journal Full-text Database 2 Hits
1 LI Zhen,SHANG Yun-yan,GUO Peng-jiang,XIA Zhi-ming(Department of Mathematics,Northwest University,Xi′an 710127,China);An EWMA standard deviation control chart with variable sampling sizes and sampling intervals[J];Basic Sciences Journal of Textile Universities;2012-04
2 XUE Li(School of Management Science and Engineering,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou 450000,China);Economic design of variable sampling intervals EWMA chart for monitoring process mean and standard deviation[J];Computer Integrated Manufacturing Systems;2013-06
【Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Wei-ming (Zhejiang Institute of science and technology, Hang zhou 310033,China);One-sided control charts with variable sampling intervals[J];Application of Statistics and Management;2002-06
2 WANG ZHAOJUN(School of Mathematics, Nankai University, Tianjin, 300071);The Design Theory of Adaptive Control Charts[J];Chinese Journal of Applied Probability and Statisties;2002-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 XIE Shun-qiang(Beijing Vocational College of Labor and Social Security,Beijing 100029);ARL Formula for the Double-Sided Mean Control Charts with Warning Limits Based on Markov Chain Theory[J];Journal of Beijing Vocational College of Labour and Social Security;2012-02
2 JI Ming-ming,ZHAON Xuan-min,TANG Wei-guang(Dept.of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China);An EWMA Mean Control Chart With Variable Sampling Intervals under Non-normality[J];Systems Engineering;2006-11
3 CONG Fang-yuan,SHI Yi-min,WANG Cai-ling(Dept.of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China);Steady-state Poisson EWMA Control Chart With Variable Sampling Intervals[J];Systems Engineering;2007-08
4 LI Shao-hua,HE Zhen(School of Management,Tianjin University,Tianjin 300072,China);Application of VSI Q Control Charts[J];Industrial Engineering Journal;2006-02
5 Guo Bao-cai (College of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China);X-bar Chart with Asymmetric Sampling Interval in Statistical Process Control[J];Industrial Engineering Journal;2009-03
6 Qiu Jiongliang1,Zheng Jianning1,Jiang Wenyin2. (1.Ningbo Entry-exit Inspection and Quarantine Bureau,Ningbo 315012,China; 2.Ningbo Tianyi Vocational Technology College,Ningbo 315100,China);A Dynamic Early Warning and Management of Epidemic Situation Caused by Inboard Cargo Container at Ningbo Port[J];Chinese Journal of Frontier Health and Quarantine;2008-03
7 Guo Zhi-fang,Cheng Long-sheng(School of Economics and Management,Nanjing University of Science & Technology,Nanjing 210094,China);Statistical Performance Analysis of a VP  Control Chart with B&L Switching Rule by Using a Markov Chain Model[J];Industrial Engineering Journal;2012-03
8 GUO Bao-cai,WANG Bing-xing (School of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China);Control charts for monitoring the shape parameter of Weibull distribution based on typeⅡ censored sample[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2012-04
9 XIE Shunqiang(Beijing Vocational College of Labor and Social Security,Beijing 100029);Economic Design of Mean Control Charts in Terms of Taguchi Quality Loss Function When Alarm Rules Change[J];Journal of Beijing Vocational College of Labour and Social Security;2013-01
10 XIE Shun-qiang~1,ZHANG Lan-xia~1,QIN Li~2,LI Li-hua~1,WANG Guo-sheng~1,LI Yan-po~1,REN Deng-xin~1(1 Dept of Mathematics and Physics,HNUST,Qinhuangdao Hebei,066004,China;2 Qinhuangdao Vo-Technical College;China);ARL Formula for the One-Sided Mean Control Charts with Warning Limits Based on Markov Chain Theory[J];Journal of Hebei Normal University of Science & Technology;2006-03
China Proceedings of conference Full-text Database 1 Hits
1 Liu Qi-hao Yang Zhen-hai (College of Applied Sciences , Beijing University of Technology , Beijing 100022 China);Cumulative Count of Conforming Control Chart with Variable Sampling Interval[A];[C];2003
【Co-references】
Chinese Journal Full-text Database 4 Hits
1 JI Ming-ming,ZHAON Xuan-min,TANG Wei-guang(Dept.of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China);An EWMA Mean Control Chart With Variable Sampling Intervals under Non-normality[J];Systems Engineering;2006-11
2 Wang Zhao-jun Gong Zhen Zou Chang-liang (School of Mathematical Sciences,Nankai University,Tianjin 300071,China);The Calculation of Average Run Length:A Review[J];Journal of Applied Statistics and Management;2011-03
3 ZHANG WEIMING (Zhejiang Institute of Science and Technology, Hangzhou, 310033);Quality Control Charts with Variable Sample Size[J];Chinese Journal of Applied Probability and Statisties;2000-03
4 WANG ZHAOJUN(School of Mathematics, Nankai University, Tianjin, 300071);The Design Theory of Adaptive Control Charts[J];Chinese Journal of Applied Probability and Statisties;2002-03
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHANG WEIMING (Zhejiang Institute of Science and Technology, Hangzhou, 310033);Quality Control Charts with Variable Sample Size[J];Chinese Journal of Applied Probability and Statisties;2000-03
2 ZhangWeiming (DeptofBasicCourses,ZhejiangSichouInstituteofTechnology,Hangzhou310033);X andRControlChartswithVariableSamplingIntervals[J];Journal of Zhejiang Institute of Silk Textiles;1999-01
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