Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases
碩士 === 國立成功大學 === 統計學系碩博士班 === 100 === Generally, an industrial product has more than one quality characteristic. In order to establish performance measures for evaluating the capability of a multivariate manufacturing process, several multivariate process capability indices have been developed bas...
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ndltd-TW-100NCKU53370082015-10-13T21:33:36Z http://ndltd.ncl.edu.tw/handle/11089517204503790396 Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases 望目及望小特性下,非常態多變量製程能力指標之制定與評估 Wei-ChengShih 石維謙 碩士 國立成功大學 統計學系碩博士班 100 Generally, an industrial product has more than one quality characteristic. In order to establish performance measures for evaluating the capability of a multivariate manufacturing process, several multivariate process capability indices have been developed based on the assumption of normality in the past few years. However, the environmental performance, such as air pollution and energy utilization data may not follow normal distribution. Thus, in this research, we develop two non-normal multivariate process capability indices; RNMCp (Revised NMCp) and RNMCpm (Revised NMCpm) by relieving the normality assumption for both nominal-the-best and smaller-the-better cases. Based on the two normal multivariate process capability indices proposed by Pan and Lee (2010), we use weighted standard deviation method (WSD) to revise their NMCp and NMCpm indices. In addition, we also use WSD method to revise a multivariate process capability index (ND index) established by Niverthi and Dey (1995). Finally, we conduct simulation studies to compare the performance of correctly reflecting the true nonconforming rate among these multivariate indices. Simulation results show that our proposed indices outperform MCp, MCpm, NMCp, NMCpm and ND indices under different combinations of two right skewed/left skewed distributions regardless of the process mean hitting the target or not. Jeh-Nan Pan 潘浙楠 2012 學位論文 ; thesis 62 zh-TW |
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Others
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碩士 === 國立成功大學 === 統計學系碩博士班 === 100 === Generally, an industrial product has more than one quality characteristic. In order to establish performance measures for evaluating the capability of a multivariate manufacturing process, several multivariate process capability indices have been developed based on the assumption of normality in the past few years. However, the environmental performance, such as air pollution and energy utilization data may not follow normal distribution. Thus, in this research, we develop two non-normal multivariate process capability indices; RNMCp (Revised NMCp) and RNMCpm (Revised NMCpm) by relieving the normality assumption for both nominal-the-best and smaller-the-better cases. Based on the two normal multivariate process capability indices proposed by Pan and Lee (2010), we use weighted standard deviation method (WSD) to revise their NMCp and NMCpm indices. In addition, we also use WSD method to revise a multivariate process capability index (ND index) established by Niverthi and Dey (1995).
Finally, we conduct simulation studies to compare the performance of correctly reflecting the true nonconforming rate among these multivariate indices. Simulation results show that our proposed indices outperform MCp, MCpm, NMCp, NMCpm and ND indices under different combinations of two right skewed/left skewed distributions regardless of the process mean hitting the target or not.
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author2 |
Jeh-Nan Pan |
author_facet |
Jeh-Nan Pan Wei-ChengShih 石維謙 |
author |
Wei-ChengShih 石維謙 |
spellingShingle |
Wei-ChengShih 石維謙 Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases |
author_sort |
Wei-ChengShih |
title |
Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases |
title_short |
Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases |
title_full |
Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases |
title_fullStr |
Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases |
title_full_unstemmed |
Development of Non-Normal Multivariate Process Capability Indices for Nominal-the-Best and Smaller-the-Better Cases |
title_sort |
development of non-normal multivariate process capability indices for nominal-the-best and smaller-the-better cases |
publishDate |
2012 |
url |
http://ndltd.ncl.edu.tw/handle/11089517204503790396 |
work_keys_str_mv |
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