A clustering approach to identify the time of a step change in Shewhart control charts

Quality and Reliability Engineering International - Tập 24 Số 7 - Trang 765-778 - 2008
Mehdi Ghazanfari1, Adel Alaeddini1, Seyed Taghi Akhavan Niaki2, Mirbahador G. Aryanezhad1
1Department of Industrial Engineering, Iran University of Science and Technology, P.O. Box 16846‐13114, Tehran, Iran
2Department of Industrial Engineering, Sharif University of Technology, P.O. Box 11155‐9414, Tehran, Iran

Tóm tắt

AbstractControl charts are the most popular statistical process control tools used to monitor process changes. When a control chart indicates an out‐of‐control signal it means that the process has changed. However, control chart signals do not indicate the real time of process changes, which is essential for identifying and removing assignable causes and ultimately improving the process. Identifying the real time of the change is known as the change‐point estimation problem. Most of the traditional methods of estimating the process change point are developed based on the assumption that the process follows a normal distribution with known parameters, which is seldom true. In this paper, we propose clustering techniques to estimate Shewhart control chart change points. The proposed approach does not depend on the true values of the parameters and even the distribution of the process variables. Accordingly, it is applicable to both phase‐I and phase‐II of normal and non‐normal processes. At the end, we discuss the performance of the proposed method in comparison with the traditional procedures through extensive simulation studies. Copyright © 2008 John Wiley & Sons, Ltd.

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Quality and Reliability Engineering International

Tập 24 Số 7

765-778

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