An EOQ model for deteriorating items under trade credit financing in the fuzzy sense
研究了模糊环境下零售商和客户均可延期付款时易腐品的经济订货批量问题，将需求率、持有成本等设为模糊数，用分级均值积分法去模糊化，证明总可变成本是凸函数并给出最优订货算法。
This paper deals with the problem of determining the economic order quantity (EOQ) for deteriorating items in the fuzzy sense where delay in payments for retailer and customer are permissible and generalizes the earlier published results in this direction. The demand rate, holding cost, ordering cost and purchasing cost are taken as fuzzy numbers. We also assume that the supplier would offer the retailer a delay period for payment and the retailer would also offer the trade credit period to the customer. The total variable cost in fuzzy sense is defuzzified using the graded mean integration representation method. Then we have shown that the defuzzified total variable cost is convex, that is, a unique solution exists. For determination of optimal ordering policies, with the help of theorems we have developed the neccessary algorithms. Finally, the theorems and the algorithms are illustrated with the help of numerical examples.