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Decision-making in detecting and diagnosing faults of multivariate statistical quality control systems

Akhavan Niaki, T ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1007/s00170-008-1636-9
  3. Publisher: 2009
  4. Abstract:
  5. A new methodology is proposed in this paper to both monitor an overall mean shift and classify the states of a multivariate quality control system. Based on the Bayesian rule (Montgomery, Introduction to statistical quality control, 5th edn. Wiley, New York, USA, 2005), the belief that each quality characteristic is in an out-of-control state is first updated in an iterative approach and the proof of its convergence is given. Next, the decision-making process of the detection and classification the process mean shift is modeled. Numerical examples by simulation are provided in order to understand the proposed methodology and to evaluate its performance. Moreover, the in-control and out-of-control average run length (Montgomery, Introduction to statistical quality control, 5th edn. Wiley, New York, USA, 2005) of the proposed method are compared with the ones from the well-known Multivariate Cumulative Sum (MCUSUM), Multivariate Exponentially Weighted Moving Average (MEWMA) and Hotelling T 2 methods in different scenarios of mean shifts. The results of the simulation study show that the proposed methodology performs better than other methods for all shifts of the process mean. Additionally, the estimated probabilities of making correct classifications by the proposed approach are encouraging. © 2008 Springer-Verlag London Limited
  6. Keywords:
  7. Hotelling T 2 ; Average run length ; Bayes-sequential analysis ; MCUSUM ; MEWMA ; Multivariate statistical quality control ; Control ; Decision making ; Multivariant analysis ; Quality assurance ; Quality function deployment ; Robustness (control systems) ; Total quality management ; Vector quantization ; Quality control
  8. Source: International Journal of Advanced Manufacturing Technology ; Volume 42, Issue 7-8 , 2009 , Pages 713-724 ; 02683768 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00170-008-1636-9