Control Charts and Feedback Adjustments for a Jump Disturbance Model

Abstract

We compare the performance of repeated process adjustments to postponed (bounded) adjustments for a model other than the widely used, normal-theory integrated moving average model. We generalize to an interesting, yet practical, alternative jump disturbance model. This model allows the process mean to remain constant for a random time period before a disturbance changes it (and includes a parameter that specifies the rate of mean changes in the process). Because the postponed adjustment can be based on a control chart, these strategies are included. Known analytical results are summarized and simulation is used to extend the performance analysis of different control strategies. We argue that for many process-operating conditions adjustments can be postponed, but that the magnitude of the adjustment (the diligent reaction) is a critical component for success.

• Engineering Process Control
• Feedback Adjustment
• Statistical Process Control
• Time Series

Additional information

Notes on contributors

Nasser H. Ruhhal

Mr. Ruhhal is a Doctoral Candidate in the Department of Industrial Engineering. He is a Student Member of ASQ.

George C. Runger

Dr. Runger is an Associate Professor in the Department of Industrial Engineering. He is a Member of ASQ. His email address is [email protected].

Monica Dumitrescu

Dr. Dumitrescu is a Professor in the Department of Probability and Statistics.