具有模糊缺陷率和订货费用的库存管理研究

Research on inventory management with fuzzy defective rate and fuzzy ordering cost

为解决目前库存研究中忽略产品缺陷率和订货费用不确定的问题,研究了同时具有模糊缺陷率和模糊订货费用的库存管理问题。首先利用模糊理论描述了库存管理中的不确定性,建立了缺陷率和订货费用模糊下的经济订货批量模型,以确定合理的订货批量,使得整个利润最大。然后利用符号距离法对模型目标进行了解模糊运算,给出并证明了参数为三角形模糊数时的最优订货策略。最后利用仿真实验验证了该策略,并研究分析了缺陷率和订货费用的模糊性对最优订货批量和最优利润的影响。

To deal with the imprecision problem of product defective rate and various uncertainties problems of ordering costs which were inherent in actual inventory systems, Economic Order Quantity （EOQ） problem with fuzzy defective rate and fuzzy ordering cost was studied. Firstly,the uncertainty existing in inventory management was described by using fuzzy theory,and then the fuzzy EOQ model with imperfect quality and fuzzy ordering cost was pro- posed. Thus the objective of the model was to determine the optimal order lot size to maximize the total profit. Then assuming that the defective rate and ordering cost were the triangular fuzzy numbers,the signed distance, a ranking method for fuzzy numbers,was used to de--fuzz the objective. After that an optimal lot sizing were proved, which could be reduced to the optimal lot sizing without uncertainties. And the corresponding profit per unit time was derived at the same time. Finally,a numerical example was provided to illustrate the results of proposed model. And by it,the influence of fuzziness of defective rate and ordering cost on the optimal lot sizing was also analyzed.