Scientia Iranica

Scientia Iranica

Maximum Multivariate Exponentially Weighted Moving Average and Maximum Multivariate Cumulative Sum Control Charts for Simultaneous Monitoring of Mean and Variability of Multivariate Multiple Linear Regression Profiles

Document Type : Research Article

Authors
Reza Ghashghaei
Amirhossein Amiri
Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran
10.24200/sci.2017.4385
Abstract
In some application, quality of product or performance of a process described by some functional relationships between some variables known as multivariate linear profile in the literature. In this paper, we propose Max-MEWMA and Max-MCUSUM control charts for simultaneous monitoring of mean vector and covariance matrix in multivariate multiple linear regression profiles in Phase II. The proposed control charts also have ability to diagnose either the location or variation of the process is responsible for out-of-control signal. The performance of the proposed control charts is compared with existing method through Monte-Carlo simulations. Finally, the applicability of the proposed control charts is illustrated using a real case of calibration application in the automotive industry.
Keywords
Multivariate multiple linear regression profiles
simultaneous monitoring
Phase II
Diagnosis aids
Subjects
Scientia Iranica
Volume 24, Issue 5
Transactions on Industrial Engineering (E)
September and October 2017
Pages 2605-2622

  • Receive Date 24 November 2015
  • Revise Date 15 March 2016
  • Accept Date 13 August 2016