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

Subject Areas : Tectonostratigraphy

Mehdi Keramatpour ¹ , سید تقی اخوان نیاکی ² , Amirhossein Amiri ³

1 - Department of Industrial & Mechanical Engineering, Islamic Azad University, Qazvin Branch
2 - دانشگاه صنعتی شریف
3 - Department of Industrial Engineering, Shahed University

Received: 2012-09-12 Accepted : 2013-04-20 Published : 2014-03-01

Keywords: Statistical process control, autocorrelation, Polynomial profiles, Phase-ІІ monitoring, Average run length,

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.