Economic statistical design of a multivariate control chart under a Burr XII shock model with multiple assignable causes

Aitin Saadatmelli, A. Seif, M. Bameni Moghadam, A. Faraz

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Control charts show the distinction between the random and assignable causes of variation in a process. The real process may be affected by many characteristics and several assignable causes. Therefore, the economic statistical design of multiple control chart under Burr XII shock model with multiple assignable causes can be an appropriate candidate model. In this paper, we develop a cost model based on the optimization of the average cost per unit of time. Indeed, the cost model under the influence of a single match case assignable cause and multiple assignable causes under a same cost and time parameters were compared. Besides, a sensitivity analysis was also presented in which the changeability of loss-cost and design parameters were evaluated based on the changes in cost, time and Burr XII distribution parameters.

Original languageEnglish
Pages (from-to)2111-2136
Number of pages26
JournalJournal of Statistical Computation and Simulation
Volume88
Issue number11
DOIs
Publication statusPublished - 24 Jul 2018

Keywords

  • adjusted average time to signal
  • average false alarm
  • Burr XII distribution
  • control chart
  • Economic statistical design
  • multiple assignable causes
  • shock model

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