Approximate design and performance of the robust control charts for monitoring dispersion in Phase I

Amir Saghir, Alireza Faraz

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This article designs and studies the approximate performance of robust dispersion charts, namely, MAD chart, Sn chart, and Qn chart, in Phase I analysis (recently developed in the literature). The proposed limits are based on false alarm probability for monitoring the dispersion of a process in Phase I analysis. The charting constants are determined to achieve the required nominal FAP (FAP0). The performance of these structures is evaluated in (i) the attained false alarm rate and (ii) the probability of signals for out-of-control situations. The analysis shows that the proposed design of Phase I robust dispersion charts correctly controls the FAP and shows a good performance in detecting the shifts in the process variation. An illustrative example is used to explain the practical implementation of these limits.

Original languageEnglish
Pages (from-to)175-187
Number of pages13
JournalQuality and Reliability Engineering International
Volume34
Issue number2
DOIs
Publication statusPublished - Mar 2018

Keywords

  • control charts
  • false alarm rate
  • MAD chart
  • out-of-control performance
  • robust designs

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