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

Ehsan Shekarian (Corresponding author), Mohamad Y Jaber, Nima Kazemi, Ehsan Ehsani

Research output: Contribution to journalArticleAcademicpeer-review

31 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)291-324
JournalEuropean Journal of Industrial Engineering
Volume8
Issue number3
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • fuzzy set
  • graded mean integration representation
  • GMIR
  • inventory
  • rework process
  • trapezoidal/triangular fuzzy number

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