Economic and Economic-Statistical designs of the T2 control charts with SVSSI sampling scheme

Mehdi Katebi, Alireza Faraz

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Recent studies have shown that the adaptive T2 chart with two different sampling interval and three sample sizes (SVSSI) shows a good performance in detecting small to large shifts in the process mean. This paper investigates the economic and economic statistical designs of the SVSSI T2 charts. We use the Markov chain approach to developing the cost model proposed by Costa and Rahim (Journal of applied statistics 2001; 28: 875–885). A genetic algorithm approach is used to find the optimal solutions. Using numerical examples, we illustrate the performance of the proposed model and compare the statistical, economic, and economic statistical designs of the SVSSI T2 chart with respect to the economic and statistical criteria. Furthermore, we compare the performance of the SVSSI T2 chart with the other T2 control schemes.

Original languageEnglish
Pages (from-to)10149-10165
Number of pages17
JournalCOMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume46
Issue number20
DOIs
Publication statusPublished - 18 Oct 2017

Keywords

  • Adjusted average time to signal (AATS)
  • Hotelling's T chart
  • Markov chain
  • SVSSI T chart
  • economic design (ED)
  • economic statistical design (ESD)
  • genetic algorithm (GA)

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