On the rectifying multiple deferred state plan in the presence of uncertain parameter

Article type: Research Article

Authors: Afshari, Robab | Gildeh, Bahram Sadeghpour^{; *}

Affiliations: Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Correspondence: [*] Corresponding author. Bahram Sadeghpour Gildeh, Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran. Tel: +98-51-38805684. E-mail: sadeghpour@um.ac.ir.

Abstract: The quality of manufactured products plays a very important role in increasing consumer satisfaction. One approach to improving outgoing lot quality is applying screening method. In this paper, a multiple deferred state sampling plan is presented for a unilateral-univariate normal process with imprecise process quality in the presence of the rectifying inspection. To assess the performance of the proposed plan, a mathematical model is derived for calculating the fuzzy average total inspection ( ATI˜ ) under the operation of the proposed plan. The obtained conclusions indicate that the proposed plan is more economical than the existing plans in terms of ATI˜ measure. A numerical example is given to demonstrate how to apply the introduced plan in the real world.

Keywords: Statistical quality control, fuzzy multiple deferred state sampling plan, average total inspection, fuzzy numbers arithmetic

DOI: 10.3233/JIFS-192097

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 1197-1211, 2020