WITHDRAWN: A fuzzy EOQ inventory model with advance payment and various fuzzy numbers

Abstract

Abstract Normally, human based industrial decision making involves both quantitative and qualitative input factors such as ordering cost, setup cost, etc. Thus, the practitioners should be careful in accounting flexibility in the input factors to tackle the uncertainties that always fit the real situation. This study considers an optimization inventory system with advance payment in a fuzzy situation by employing four types of fuzzy numbers that are triangular, trapezoidal, pentagonal and Hexagonal. Fuzziness is established by allowing the cost components imprecise and vague to certain extent. There are two inventory models proposed in this paper. Initially crisp modelsare developed with fuzzy total inventory cost along crisp optimal replenishment cycle T. Next the fuzzy model is also formulated with fuzzy total inventory cost and fuzzy optimal replenishment cycle T. Graded mean integration method is employed to defuzzify the total inventory cost and the extension of the Lagrangian method is used to determine the optimal replenishment cycle T. Our aim is to minimize the total cost in the proposed inventory model. Numerical examples have been given in order to show the applicability of the proposed model.