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Phase II Nonparametric Profile Monitoring and Decision Making on Process Quality via a Mixed Model | ||
Advances in Industrial Engineering | ||
مقاله 2، دوره 50، شماره 1، تیر 2016، صفحه 13-22 اصل مقاله (351.3 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/jieng.2016.59429 | ||
نویسندگان | ||
Fatemeh Hajiahmadi1؛ Rasol Noorossana* 2 | ||
1Industrial Engineering Department, Islamic Azad University, South Campus, Tehran, Iran | ||
2Industrial Engineering Department, Iran University of Science and Technology, Tehran 16844, Iran | ||
چکیده | ||
In many statistical process control applications, the quality of a process is characterized by a profile. A profile is a function in terms of one or more explanatory variables. In profile monitoring, one is interested to monitor the performance of a process or product using this functional relationship. Control charts for monitoring nonparametric profiles are useful when the relationship is too complex to be described parametrically. Most of the existing control charts in the literature are suitable for monitoring parametric profiles. This article focuses on nonparametric profile monitoring when within-profile autocorrelation is present. Our proposed phase II control chart considers mixed-effect model and uses the framework of a general smoothing spline analysis of variance (SS-ANOVA) along with Hoteling T2 control scheme. The proposed method is especially suitable for categorical data. Numerical results show that the proposed method is capable of detecting profile shifts and identifying the exact location of problematic segments. | ||
کلیدواژهها | ||
Nonparametric mixed-effect model؛ Phase II؛ phrases؛ Profile monitoring؛ Smoothing spline؛ Statistical Process Control | ||
عنوان مقاله [English] | ||
پایش ناپارامتری پروفایلها و تصمیم گیری در مورد کیفیت فرآیند با استفاده از مدل اثرات آمیخته | ||
نویسندگان [English] | ||
فاطمه حاجی احمدی1؛ رسول نورالسناء2 | ||
1کارشناس ارشد دانشکدة مهندسی صنایع، دانشگاه آزاد اسلامی واحد تهران جنوب | ||
2استاد دانشکدة مهندسی صنایع، دانشگاه علم و صنعت ایران | ||
چکیده [English] | ||
در بسیاری از کاربردهای کنترل کیفیت آماری فرایند، کیفیت یک فرایند از طریق یک یا چند تابع از یک یا چند متغیر، تحت عنوان پروفایل بیان میشود. پایش پروفایلها ثبات رابطة تابع پروفایل را در طول یک بازه بررسی میکند. نمودارهای کنترل پروفایلهای ناپارامتری در شرایطی که توصیف این رابطه بهصورت پارامتری پیچیده باشد اهمیت دارد. بیشتر نمودارهای کنترل کیفیت آماری موجود در ادبیات بهمنظور پایش پروفایلهای پارامتری طراحی شدهاند. ساختار همبستگی درونی پروفایلها که درعمل کاربرد زیادی دارد در اغلب مدلسازیهای پیشین درنظر گرفته نشده است. این پژوهش بر پایش ناپارامتری پروفایلها در شرایطی تمرکز دارد که پروفایلها همبستگی دارند و فرض استقلال برقرار نیست. نمودار کنترل فاز دوم پیشنهادی که مدل اثرات آمیخته را با بهکارگیری چارچوب کلی تحلیل واریانس هموارسازی اسپلاین با طرح کنترل هتلینگ تلفیق کرده است، دقت کافی و انعطافپذیری بسیار بیشتری بهویژه درمورد دادههای رستهای دارد. نتایج شبیهسازی نشان میدهد روش پیشنهادی بهشکل مؤثری تغییرات در پروفایلها را شناسایی میکند. | ||
کلیدواژهها [English] | ||
فاز دوم کنترل کیفیت آماری, مدلهای ناپارامتری اثرات آمیخته, همبستگی درون پروفایلها, هموارسازی | ||
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