Monitoring autocorrelated multivariate simple linear profiles
 Paria Soleimani,
 Rassoul Noorossana,
 S. T. A. Niaki
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Recently, many researchers and practitioners have shown interest on profile monitoring as a relatively new subarea of statistical process control. One main reason for this interest, and perhaps a key factor for the contributions of many researchers to this field, is the various applications of profile monitoring in real life. Although one can easily encounter many univariate applications of profile monitoring in service and manufacturing environments, there exist situations where quality of a product or process needs to be modeled in multivariate terms. In this paper, we investigate monitoring of multivariate simple linear profiles in phase II when independence assumption of observations within profile is violated. A remedial measure based on a transformation method is proposed to remove the autocorrelation structure within multivariate profiles, and numerical simulation is used as a vehicle to evaluate the effect of the proposed solution. Finally, a case study is considered to show the application of the model in practice.
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 Title
 Monitoring autocorrelated multivariate simple linear profiles
 Journal

The International Journal of Advanced Manufacturing Technology
Volume 67, Issue 58 , pp 18571865
 Cover Date
 20130701
 DOI
 10.1007/s0017001246141
 Print ISSN
 02683768
 Online ISSN
 14333015
 Publisher
 Springer London
 Additional Links
 Topics
 Keywords

 Statistical process control
 Profile monitoring
 Simple linear profile
 Multivariate analysis
 Average run length
 Autocorrelation
 Industry Sectors
 Authors

 Paria Soleimani ^{(1)}
 Rassoul Noorossana ^{(2)}
 S. T. A. Niaki ^{(3)}
 Author Affiliations

 1. Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
 2. Industrial Engineering Department, Iran University of Science and Technology, Tehran, Iran
 3. Department of Industrial Engineering, Sharif University of Technology, P.O. Box 111959414, Azadi Ave., Tehran, 1458889694, Iran