Process Capability Analysis in the Presence of Autocorrelation
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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JR_JOIE-6-12_001
تاریخ نمایه سازی: 22 آبان 1397
Abstract:
The classical method of process capability analysis necessarily assumes that collected data are independent; nonetheless, some processessuch as biological and chemical processes are autocorrelated and violate the independency assumption. Many processes exhibit a certaindegree of correlation and can be treated by autoregressive models, among which the autoregressive model of order one (AR (1)) is the mostfrequently used one. In this paper, we discuss the effect of autocorrelation on the process capability analysis when a set of observations areproduced by an autoregressive model of order one. We employ a multivariate regression model to modify the process capability estimatedfrom the classical method, where the AR (1) parameters are utilized as regression explanatory variables. Finally, the performance of thepresented method is investigated using a Monte Carlo simulation
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Authors
Mohsen Mohamadi
Msc, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
Mehdi Foumani
Msc, School of Applied Sciences and Engineering, Monash University, Gippsland Campus, Churchill, VIC ۳۸۴۲, Australia
Babak Abbasi
Assistant Professor, School of Mathematical and Geospatial Sciences, RMIT University, Melbourne, Australia