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Mathematical Problems in Engineering
Volume 2011, Article ID 275686, 20 pages
http://dx.doi.org/10.1155/2011/275686
Research Article

Change Point Detection with Robust Control Chart

1Laboratory of Applied and Computational Statistics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor 43400, Malaysia
2Department of Mathematics, Faculty of Sciences, Universiti Putra Malaysia, Serdang, Selangor 43400, Malaysia

Received 3 October 2010; Accepted 9 January 2011

Academic Editor: Muhammad R. Hajj

Copyright © 2011 Ng Kooi Huat and Habshah Midi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Monitoring a process over time using a control chart allows quick detection of unusual states. In phase I, some historical process data, assumed to come from an in-control process, are used to construct the control limits. In Phase II, the process is monitored for an ongoing basis using control limits from Phase I. In Phase II, observations falling outside the control limits or unusual patterns of observations signal that the process has shifted from in-control process settings. Such signals trigger a search for assignable cause and, if the cause is found, corrective action will be implemented to prevent its recurrence. The purpose of this paper is to introduce a new methodology appropriate for constructing a robust control chart when a nonnormal or a contaminated data that may arise in phase I state. Through extensive Monte Carlo simulations, we examine the behaviors and performances of the proposed MM robust control chart when there is a process shift in mean.