Title: A fuzzified version of the economic production quantity (EPQ) model with backorders and rework for a single-stage system

Authors: Ehsan Shekarian; Mohamad Y. Jaber; Nima Kazemi; Ehsan Ehsani

Addresses: Young Researchers & Elites Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran ' Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON, M5B 2K3, Canada ' Young Researchers & Elites Club, Karaj Branch, Islamic Azad University, Karaj, Iran ' Young Researchers & Elites Club, Sari Branch, Islamic Azad University, Sari, Iran

Abstract: This paper extends a recent work that investigated a single-stage production-inventory model with reworks and planned backorders by fuzzifying its input parameters. The graded mean integration representation (GMIR) method, a useful and effective defuzzification method, is employed to develop a fuzzified total inventory cost function of model of interest. Triangular and trapezoidal fuzzy numbers are used to examine the developed fuzzy model. Later, the optimal policy, including the batch size, the backordering level and total cost, is determined using the classical approach. Furthermore, the derived optimal policies are tested using arbitrary fuzzy numbers. [Received 4 July 2011; Revised 4 November 2011; Revised 3 February 2012; Revised 16 July 2012; Accepted 27 October 2012]

Keywords: fuzzy sets; graded mean integration representation; GMIR; inventory modelling; rework process; trapezoidal fuzzy numbers; triangular fuzzy numbers; economic production quantity; EPQ; backorders; single-stage systems; defuzzification; total inventory cost; batch size.

DOI: 10.1504/EJIE.2014.060998

European Journal of Industrial Engineering, 2014 Vol.8 No.3, pp.291 - 324

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 24 May 2014 *

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