缺货和顾客部分延期支付条件下零售商的补货策略

A Replenishment Policy for Retailers with Allowable Shortages and Customers Partially Delay in Payments

从现实情况和零售商的利益出发,在零售商允许顾客延期支付的期限不大于零售商从供应商处获得的延期支付期限的假设条件下,基于economic production quantity(EPQ)模型,建立了缺货和顾客部分延期支付并存时零售商的补货模型。以零售商年总成本最低化为目标,通过计算得到不同情况下零售商的最优补货周期和上个周期末所缺产品的最优补货时间,并对最优解的唯一性进行证明。根据对不同情况下变量限制条件的化简,较快捷地导出相应的条件判定变量,最终给出零售商最优补货策略的确定方法。

Considering some real life cases as well as the retailers＇ interests,assuming that the customer＇s trade credit period offered by the retailer in years is not greater than the retailer＇s trade credit period offered by the supplier in years,we propose a replenishment policy for retailers with allowable shortage and customers partially delay in payments based on the economic production quantity（EPQ）model.Aiming at retailer＇s total annual variable cost minimization,we figure out the best replenishment period and the best time to replenish the backorder after the last period in different cases,and prove the uniqueness of the optimal solution.We relatively quickly derive the corresponding test criteria variable according to the simplified restrictions,and finally determine the replenishment policy.