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

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.