{"title":"转换后的瑞利分布数据的CUSUM图设计","authors":"Dushyant Tyagi, B. Singh","doi":"10.1504/IJQET.2016.081641","DOIUrl":null,"url":null,"abstract":"In this paper, the CUSUM chart has been proposed to monitor the small shift in production process when the quality characteristic follows Rayleigh distribution. To achieve approximate normality of the Rayleigh distributed data, Nelson transformation method is used. The efficiency of CUSUM chart in detecting small shift in the process as compared to traditional Shewhart chart is demonstrated through a simulated study. Parameters for proposed chart has been determined for varying true mean at fix 'in control mean' and 'in control ARL'. Table of k and h values are provided to assist quality control engineers for designing an optimal CUSUM chart to detect δσ shift.","PeriodicalId":38209,"journal":{"name":"International Journal of Quality Engineering and Technology","volume":"8 1","pages":"82"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1504/IJQET.2016.081641","citationCount":"0","resultStr":"{\"title\":\"Designing of CUSUM chart with transformed Rayleigh distributed data\",\"authors\":\"Dushyant Tyagi, B. Singh\",\"doi\":\"10.1504/IJQET.2016.081641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the CUSUM chart has been proposed to monitor the small shift in production process when the quality characteristic follows Rayleigh distribution. To achieve approximate normality of the Rayleigh distributed data, Nelson transformation method is used. The efficiency of CUSUM chart in detecting small shift in the process as compared to traditional Shewhart chart is demonstrated through a simulated study. Parameters for proposed chart has been determined for varying true mean at fix 'in control mean' and 'in control ARL'. Table of k and h values are provided to assist quality control engineers for designing an optimal CUSUM chart to detect δσ shift.\",\"PeriodicalId\":38209,\"journal\":{\"name\":\"International Journal of Quality Engineering and Technology\",\"volume\":\"8 1\",\"pages\":\"82\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1504/IJQET.2016.081641\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Quality Engineering and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/IJQET.2016.081641\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Quality Engineering and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJQET.2016.081641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
Designing of CUSUM chart with transformed Rayleigh distributed data
In this paper, the CUSUM chart has been proposed to monitor the small shift in production process when the quality characteristic follows Rayleigh distribution. To achieve approximate normality of the Rayleigh distributed data, Nelson transformation method is used. The efficiency of CUSUM chart in detecting small shift in the process as compared to traditional Shewhart chart is demonstrated through a simulated study. Parameters for proposed chart has been determined for varying true mean at fix 'in control mean' and 'in control ARL'. Table of k and h values are provided to assist quality control engineers for designing an optimal CUSUM chart to detect δσ shift.
期刊介绍:
IJQET fosters the exchange and dissemination of research publications aimed at the latest developments in all areas of quality engineering. The thrust of this international journal is to publish original full-length articles on experimental and theoretical basic research with scholarly rigour. IJQET particularly welcomes those emerging methodologies and techniques in concise and quantitative expressions of the theoretical and practical engineering and science disciplines.