TY - JOUR
T1 - The funnel experiment
T2 - The Markov-based SPC approach
AU - Singer, Gonen
AU - Ben-Gal, Irad
PY - 2007/12
Y1 - 2007/12
N2 - The classical funnel experiment was used by Deming to promote the idea of statistical process control (SPC). The popular example illustrates that the implementation of simple feedback rules to stationary processes violates the independence assumption and prevents the implementation of conventional SPC. However, Deming did not indicate how to implement SPC in the presence of such feedback rules. This pedagogical gap is addressed here by introducing a simple feedback rule to the funnel example that results in a nonlinear process to which the traditional SPC methods cannot be applied. The proposed method of Markov-based SPC, which is a simplified version of the context-based SPC method, is shown to monitor the modified process well.
AB - The classical funnel experiment was used by Deming to promote the idea of statistical process control (SPC). The popular example illustrates that the implementation of simple feedback rules to stationary processes violates the independence assumption and prevents the implementation of conventional SPC. However, Deming did not indicate how to implement SPC in the presence of such feedback rules. This pedagogical gap is addressed here by introducing a simple feedback rule to the funnel example that results in a nonlinear process to which the traditional SPC methods cannot be applied. The proposed method of Markov-based SPC, which is a simplified version of the context-based SPC method, is shown to monitor the modified process well.
KW - Change point
KW - Process monitoring
KW - Stochastic processes
UR - http://www.scopus.com/inward/record.url?scp=37249093099&partnerID=8YFLogxK
U2 - 10.1002/qre.852
DO - 10.1002/qre.852
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AN - SCOPUS:37249093099
SN - 0748-8017
VL - 23
SP - 899
EP - 913
JO - Quality and Reliability Engineering International
JF - Quality and Reliability Engineering International
IS - 8
ER -