Optimal T2 Control Chart with a Double Sampling Scheme - An Alternative to the MEWMA Chart

Alireza Faraz

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

Recent studies have shown that a double sampling (DS) scheme yields improvements in detection times of process shifts over variable ratio sampling (VRS) methods that have been extensively studied in the literature. Additionally, a DS scheme is more practical than some of the VRS methods since the sampling interval is fixed. In this paper, we investigate the effect of double sampling on cost, a criterion as important as detection rate. We study economic statistical design of the DS T 2 chart (ESD DS T 2) so that designs are found that are economically optimal but yet meet desired statistical properties such as having low probabilities of false searches and high probabilities of rapid detection of process shifts. Through an illustrative example, we show that relatively large benefits can be achieved in a comparison with the classical T 2 chart and the statistical DS T 2 charts with our ESD DS T 2 approach. Furthermore, the economic performance of the ESD DS T 2 charts is favorably compared to the MEWMA and other VRS T 2 control charts in the literature.

Original languageEnglish
Pages (from-to)751-760
Number of pages10
JournalQuality and Reliability Engineering International
Volume28
Issue number7
DOIs
Publication statusPublished - Nov 2012

Keywords

  • Hotelling's T control chart
  • MEWMA
  • double sampling (DS)
  • economic statistical design (ESD)
  • genetic algorithm (GA)

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