针对供应商提供短期价格折扣且允许零售商两次特殊补货的库存系统, 建立了以零售商库存效益最大化为目标的库存决策模型, 分析了模型的性质, 根据经济订单批量补货决策下补货时间点与折扣时段的关系, 确定了零售商在不同补货策略下的库存效益增值函数. 据此给出零售商相应的最优补货策略函数表达式, 提出了该模型的一个全局优化算法, 并通过数值算例验证了模型和算法的有效性与可行性.

This paper considers the inventory system in which the supplier may provide a short-term price discount to retailers at future time and retailers may make two special orders during the special period. For this system, based on maximizing the retailer's profit, we establish an optimal replenishment and stocking model. To solve the model, we first present several modified ordering policies for the model on the basis of the economic ordering strategy, and then establish a global optimal ordering policy for the inventory model. The given numerical experiments show the validity of the model and the efficiency of the algorithm.