交货提前期可控的共同补货问题成本分摊方案设计

Design of cost allocation rule for joint replenishment with controllable lead time

为了激励零售商形成合作联盟进行联合补货,考虑零售商对交货期可控和供应商提供数量折扣的情景,构建了周期性联合补货的长期平均成本模型,给出了满足任意精度要求的近似算法,基于合作博弈理论设计了位于联合补货博弈核里的成本分摊方案.数值实验结果表明,所提算法能够快速地求解产品种类不超过640种时的联合补货问题.采用所给出的成本分摊规则后,零售商的成本节省率恒大于0并且随着数量折扣和固定成本增大而增大,随着安全库存水平逐渐增大而呈先增后减的趋势,随着联盟规模增大而增大,随着产品种类增加而减小.所给出的成本分摊规则能够降低参与合作的零售商的成本,最高可降低20%,有利于合作联盟的形成.

To encourage retailers to form cooperative alliances to jointly replenish inventory,considering that the supplier provides a flexible lead time and quantity discount to retailers,a model of average total cost per unit time of periodic joint replenishment is constructed,and an approximate algorithm,which can satisfy the requirement of any given precision,is given.The cost allocation rule in the core of the joint replenishment game is designed based on the cooperative game theory.The numerical experiment results show that the proposed algorithm can quickly solve the joint replenishment problem when the item number is not greater than 640.The retailer's cost saving rate is always greater than 0,and it increases with the increase in quantity discount and fixed cost after adopting the given cost allocation rule.With the increase in the safety stock level,the retailer's cost saving rate increases first and then decreases;and the retailer's cost saving rate increases with the increase in the size of the alliance,but it decreases as the number of product category increases.The proposed cost allocation rule can reduce the retailer's cost up to 20%,which is conducive to forming a cooperative coalition.