Optimal inventory control policy in fuzzy sense

This paper developed the EOQ model with fuzzy lead time. The lead time was fuzzified into tripodal fuzzy number and the fuzzy average cost was obtained. To find the optimal order quantity and reorder point, the average cost was defuzzified using signed distance in fuzzy sense. By analysing the convexity of this defuzzified function, the characterization of the optimal solution was obtained, from which one could compute the optimal solution easily. Furthermore numerical examples were provided, which show that if the uncertainty of lead time is small, the optimal average cost increases with the uncertainty of it very slowly.