Evaluation of the economic statistical design of the multivariate T2 control chart with multiple variable sampling intervals scheme: NSGA-II approach

Alireza Faraz

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

The economic and statistical merits of a multiple variable sampling intervals scheme are studied. The problem is formulated as a double-objective optimization problem with the adjusted average time to signal as the statistical objective and the expected cost per hour as the economic objective. Bai and Lee's [An economic design of variable sampling interval ¯X control charts. Int J Prod Econ. 1998;54:57–64] economic model is considered. Then we find the Pareto-optimal designs in which the two objectives are minimized simultaneously by using the non-dominated sorting genetic algorithm. Through an illustrative example, the advantages of the proposed approach are shown by providing a list of viable optimal solutions and graphical representations, which indicate the advantage of flexibility and adaptability of our approach.

Original languageEnglish
Pages (from-to)2442-2455
Number of pages14
JournalJournal of Statistical Computation and Simulation
Volume85
Issue number12
DOIs
Publication statusPublished - 13 Aug 2015

Keywords

  • NSGA-II algorithm
  • economic statistical design
  • multi-objective optimization
  • multivariate T control chart
  • variable sampling intervals scheme

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