Phase-II Monitoring of AR (1) Autocorrelated Polynomial Profiles

Keramatpour, Mehdi; Akhavan Niaki, Seyed Taghi; Amiri, Amirhossein

Phase-II Monitoring of AR (1) Autocorrelated Polynomial Profiles

Document Type : Original Manuscript

Authors

¹ Department of Industrial & Mechanical Engineering, Islamic Azad University, Qazvin Branch

² Sharif University of Technology

³ Department of Industrial Engineering, Shahed University

Abstract

In some statistical process control applications, quality of a process or product can be characterized by a relationship between a response and one or more independent variables, which is typically referred to a profile. In this paper, polynomial profiles are considered to monitor processes in which there is a first order autoregressive relation between the error terms in each profile. A remedial measure is first proposed to eliminate the effect of autocorrelation in phase-ІІ monitoring of autocorrelated profiles. Then, three methods are employed to monitor polynomial profiles where their performances are compared using the average run length criterion.

Keywords