Monitoring linear profiles using an adaptive control chart

We propose a model for the statistical design of a variable sample size chi-squared control chart (VSS χ 2 control chart) for monitoring linear profiles. Performance measures of the proposed adaptive control chart are obtained through a Markov chain approach. Through a numerical example, which consi...

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Bibliographic Details
Published in:International journal of advanced manufacturing technology 2016-02, Vol.82 (5-8), p.1433-1445
Main Authors: De Magalhães, Maysa S., Von Doellinger, Rodrigo Otávio S.
Format: Article
Language:English
Subjects:
Adaptive control
CAE) and Design
Chi-square test
Computer-Aided Engineering (CAD
Control charts
Engineering
Industrial and Production Engineering
Markov chains
Mechanical Engineering
Media Management
Monitoring
Original Article
Sensitivity analysis
Statistical tests
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Summary:We propose a model for the statistical design of a variable sample size chi-squared control chart (VSS χ 2 control chart) for monitoring linear profiles. Performance measures of the proposed adaptive control chart are obtained through a Markov chain approach. Through a numerical example, which consists of a calibration application in a production process of semiconductors, the proposed chart is compared to the fixed parameter chi-squared control chart (FP χ 2 chart) to monitor the intercept and slope of the linear profile. From this example, it is possible to assess the potential benefits provided by the proposed chart. Also, considering simultaneous shifts in the intercept, the slope, and the standard deviation, a sensitivity analysis of the proposed chart for monitoring linear profiles is presented.
ISSN:0268-3768
1433-3015
DOI:10.1007/s00170-015-7429-z