政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/150303

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/150303

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113318/144297 (79%)
Visitors : 50990354 Online Users : 902

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Scope

please add "double quotation mark" for query phrases to get precise results

please goto advance search for comprehansive author search

Adv. Search

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

Goto mobile version

政大典藏 > College of Commerce > Department of Statistics > Theses > Item 140.119/150303

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/150303

Title:	特定應用之多項比例監控 Monitoring Multinomial Proportions with Specific Applications
Authors:	藍思皓 Lan, Szu-Hao
Contributors:	蕭又新楊素芬 Shiau, Yuo-Hsien Yang, Su-Fen 藍思皓 Lan, Szu-Hao
Keywords:	統計製程管制 EWMA管制圖比例管制圖多項式分配二元常態分配平均連串長度 Statistical Process Control EWMA Control Chart P chart Multinomial Distribution Bivariate Normal Distribution Average Run Length
Date:	2024
Issue Date:	2024-03-01 14:28:48 (UTC+8)
Abstract:	管制圖在製造業中，管理流程品質非常重要。管制圖重要性在於能快速指出生產過程中品質是否產生異常。持續監控流程品質變化，能夠確保製造業產品品質穩定。現有管制圖文獻大多假設單變量和多變量製程在統計管制下，數據呈現連續性。本研究中，首先我們建立具有特定用途的 EWMA 多項式比例管制圖。我們使用兩階段檢測方式來處理此問題:考慮 3 個比例下( p1, p2, p3 )，如果 p1 或 p2 發生變化，但 p1 和 p2 的總和維持不變，則組合後的管制圖不會顯示變化。模擬結果說明，我們的 p1 管制圖可以快速檢測 p1 變化，並提供變化量 delta 大小。其次，我們探討從二元常態分配轉換到多項式分配，藉由每個品質變數規格界線，進而分類不同類型不良品比例。 Control charts are important in managing process quality in manufacturing.They are important because they can quickly indicate any changes in the quality of a production process. This constant monitoring of changes in process quality is essential for ensuring consistent and high-quality products in manufacturing. Much of the existing literature on control charts assumes that the data distribution follows a continuous pattern when both univariate and multivariate processes are in control. In this research, firstly, we construct specified EWMA multinomial p charts that have particular uses. We utilize two-stage detection to approach the problem: consider triple proportions, ( p1, p2, p3 ), if p1 or p2 changes but the total of p1 and p2 stays the same, the combined chart doesn't show the change. The simulations suggest that our p1 chart can quickly detect changes in p1 and measure the magnitude of the change in delta. Secondly, we transform bivariate normal distribution to multinomial distribution and classify proportions by specification limits.
Reference:	Chen, G., Cheng, S. W., & Xie, H. (2001). Monitoring Process Mean and Variability with One EWMA Chart. Journal of Quality Technology, 33(2), 223-233. https://doi.org/10.1080/00224065.2001.11980069 Cozzucoli, P. C. (2009). Process Monitoring with Multivariate p-Control Chart. International Journal of Quality, Statistics, and Reliability, 2009, 707583. https://doi.org/10.1155/2009/707583 Gan, S., Yang, S.-F., & Chen, L.-P. (2023). A New EWMA Control Chart for Monitoring Multinomial Proportions. Sustainability, 15(15), 11797. Jian Li , F. T. C. Z. (2014). Multivariate binomial/multinomial control chart. IIE Transactions, 46(5), 526-542. https://doi.org/10.1080/0740817X.2013.849830 Marcucci, M. (1985). Monitoring Multinomial Processes. Journal of Quality Technology, 17(2), 86-91. https://doi.org/10.1080/00224065.1985.11978941 Montgomery, D. C. (2012). Introduction to Statistical Control. Montgomery, W. H. W. D. C. (2014). Some Current Directions in the Theory and Application of Statistical Process Monitoring. Journal of Quality Technology, 46(1), 78-94. https://doi.org/10.1080/00224065.2014.11917955 Ryan, A. G., Wells, L. J., & Woodall, W. H. (2011). Methods for Monitoring Multiple Proportions When Inspecting Continuously. Journal of Quality Technology, 43(3), 237- 248. https://doi.org/10.1080/00224065.2011.11917860 Woodall, W. H. (1997). Control Charts Based on Attribute Data: Bibliography and Review. Journal of Quality Technology, 29(2), 172-183. https://doi.org/10.1080/00224065.1997.11979748
Description:	碩士國立政治大學統計學系 108354025
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0108354025
Data Type:	thesis
Appears in Collections:	[Department of Statistics] Theses

Files in This Item:

File	Size	Format
index.html	0Kb	HTML	117	View/Open

All items in 政大典藏 are protected by copyright, with all rights reserved.

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

DSpace Software Copyright © 2002-2004 MIT & Hewlett-Packard / Enhanced by NTU Library IR team Copyright © - Feedback