针对采购管理中广泛存在的不确定性,将单位库存成本和可变订货成本视为模糊变量,构建了运输容量约束下有数量折扣的模糊联合补货模型,此模型属于NP-hard问题,目前缺乏可靠的全局优化求解算法。在选取梯级平均综合表示法对总成本去模糊的基础上,设计了基于自适应混合差分进化算法的求解方法,并通过算例验证了此模糊联合补货模型的有效性和求解算法的全局优化能力。
Considering the uncertainty existing in procurement management, the inventory holding cost and variable ordering cost are treated as fuzzy variables. A fuzzy joint replenishment problem (FJRP) model with transportation capacity constraint and quantity discount is firstly proposed. There is no stable and effective global optimization algorithm to solve this model which is a typical NP-hard problem. Then, the fuzzy total cost is defuzzified by the graded mean integration representation and an adaptive hybrid differential evolution algorithm (AHDE) is designed. Further, numerical studies show the effectiveness of the proposed FJRP and the global optimality capability of the proposed AHDE.