A modified economic-statistical design of the T2 control chart with variable sample sizes and control limits

Alireza Faraz

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

Recent studies have shown that using variable sampling size and control limits (VSSC) schemes result in charts with more statistical power than variable sampling size (VSS) when detecting small to moderate shifts in the process mean vector. This paper presents an economic-statistical design (ESD) of the VSSC T2 control chart using the general model of Lorenzen and Vance [22]. The genetic algorithm approach is then employed to search for the optimal values of the six test parameters of the chart. We then compare the expected cost per unit of time of the optimally designed VSSC chart with optimally designed VSS and FRS (fixed ratio sampling) T2 charts as well as MEWMA charts.

Original languageEnglish
Pages (from-to)2459-2469
Number of pages11
JournalJournal of Applied Statistics
Volume38
Issue number11
DOIs
Publication statusPublished - Nov 2011

Keywords

  • Economic-statistical design (ESD)
  • Genetic algorithm (GA)
  • Hotelling's T control chart
  • Markov chain
  • Variable sampling size and control limits (VSSC) scheme

Fingerprint Dive into the research topics of 'A modified economic-statistical design of the T2 control chart with variable sample sizes and control limits'. Together they form a unique fingerprint.

Cite this