Title: A fuzzy economic order quantity model for items with imperfect quality and partial backordered shortage under screening errors

Authors: Ehsan Sharifi; Sonia Shabani; Mohammad Ali Sobhanallahi; Abolfazl Mirzazadeh

Addresses: Department of Industrial Engineering, Faculty of Technical-Engineering, Kharazmi University, Mofatteh Ave, Tehran, Iran ' Department of Industrial Engineering, Faculty of Technical-Engineering, Kharazmi University, Mofatteh Ave, Tehran, Iran ' Department of Industrial Engineering, Faculty of Technical-Engineering, Kharazmi University, Mofatteh Ave, Tehran, Iran ' Department of Industrial Engineering, Faculty of Technical-Engineering, Kharazmi University, Mofatteh Ave, Tehran, Iran

Abstract: Traditional view insists that uncertainty is undesirable and should be avoided by all possible means, but according to the modern view, uncertainty is essential to science. It is not an inevitable plague, but it has great utility. Thus, in this paper, a fuzzy economic order quantity (EOQ) model for items with imperfect quality and partial backordered shortage under screening error is developed. In order to present a more realistic and practical model, all the input parameters are assumed to be trapezoidal fuzzy numbers. After formulating the model, the graded mean integration method is used to drive the profit function in fuzzy sense. Then, the optimal policy is determined and finally, numerical examples and sensitivity analysis are carried out to illustrate the sensitiveness of different input parameters.

Keywords: economic order quantity; fuzzy EOQ; imperfect quality; screening errors; partial backordering; graded mean integration; trapezoidal fuzzy numbers; uncertainty.

DOI: 10.1504/IJADS.2015.066569

International Journal of Applied Decision Sciences, 2015 Vol.8 No.1, pp.109 - 126

Received: 15 Apr 2014
Accepted: 21 Aug 2014
Published online: 24 Dec 2014 *

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