Linear Profile Monitoring in the Presence of Non-Normality and Autocorrelation

Publish Year: 1389
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJIEPR-21-4_005

تاریخ نمایه سازی: 7 شهریور 1393

Abstract:

In an increasing number of practical situations, the quality of a process or product can be effectively characterized and summarized by a profile. A profile is usually a functional relationship between a response variable and one or more explanatory variables which can be modeled frequently using linear or nonlinear regression models. In this paper, we study the effect of non-normality on profile monitoring in Phase II when within or between autocorrelation is present. Different levels of autocorrelation and skewed and heavy-tailed symmetric nonnormal distributions are used in our study to evaluate the performance of three existing monitoring schemes numerically. Simulation results indicate that the non-normality and autocorrelation can have asignificant effect on the in-control performances of the considered schemes. Results also indicate that the out-of-control performances of the schemes are not very sensitive to low and moderate levels of autocorrelation in moderate and large shifts.

Keywords:

Linear profile , Non-normality , Autocorrelation , Average run length , Exponentially weighted moving average control chart

Authors

Rassoul Noorossana

Industrial Engineering Department Islamic Azad University, South-Tehran Branch, Tehran, Iran

Abbas Saghaei

Industrial Engineering Department Islamic Azad University, Science and Research Branch, Tehran, Iran

Mehdi Dorri

Industrial Engineering Department Islamic Azad University, South-Tehran Branch, Tehran, Iran