模糊需求环境下多产品采购配额优化模型

Optimized Model for Order Quantity Allocation of Multi-product Purchase with Fuzzy Demand

建立了模糊需求和价格折扣并存条件下多产品采购配额分配问题的模糊多目标混合整数规划模型.针对该模型的特点,提出了如下求解策略,即借助于隶属度函数,首先将模型中的模糊目标和模糊约束条件清晰化;然后,通过最大最小算子,将该模糊多目标混合整数规划模型转化为求解等价的多个单目标混合整数线性规划问题;最后,采用两阶段算法求得问题的最优解.通过应用算例验证了模型的有效性和可行性.

Being taken fuzzy demand and price discount into account, a fuzzy multi-objective mixed-integer programming model was proposed for order quantity allocation of multi-product purchase. Based on the features of the model, a solution strategy was presented as follows. First, the fuzzy objectives and constraints were clarified via their membership functions, and then the fuzzy multi-objective mixed-integer programming model was converted into several equivalent single-objective linear programming models by means of the max-min operators. An optimal solution to the order quantity allocation problem was derived using the two-phase approach. An application example was carried out, and the results verified the feasibility and effectiveness of the proposed method.