A new adaptive CUSUM control chart for detecting the multivariate process mean

A new adaptive CUSUM control chart for detecting the multivariate process mean

0.00 Avg rating0 Votes
Article ID: iaor201112648
Volume: 27
Issue: 7
Start Page Number: 877
End Page Number: 884
Publication Date: Nov 2011
Journal: Quality and Reliability Engineering International
Authors: , , ,
Keywords: cusum charts
Abstract:

We propose a new multivariate CUSUM control chart, which is based on self adaption of its reference value according to the information from current process readings, to quickly detect the multivariate process mean shifts. By specifying the minimum magnitude of the process mean shift in terms of its non-centrality parameter, our proposed control chart can achieve an overall performance for detecting a particular range of shifts. This adaptive feature of our method is based on two EWMA operators to estimate the current process mean level and make the detection at each step be approximately optimal. Moreover, we compare our chart with the conventional multivariate CUSUM chart. The advantages of our control chart detection for range shifts over the existing charts are greatly improved. The Markovian chain method, through which the average run length can be computed, is also presented.

Reviews

Required fields are marked *. Your email address will not be published.