部分短缺量拖后的非瞬时补货的EOQ模型

An EOQ Model for Non-instantaneous Replenishment with Partial Backlogging

传统的EOQ模型忽略了在企业仓库出空时由丢单引起的机会成本。针对一定类型的生产库存系统 ,在其多数客户耐烦期较长 ,有一定仓库出空期且非瞬时补货的条件下 ,将仓库出空期间的损失划分为因延期交货而产生的短缺成本和由丢单引起的机会成本 ,建立了部分短缺量拖后且非瞬时补货库存系统的EOQ存贮模型 ,证明了经济批量最优解的唯一性 ,给出了模型的综合费用函数 ,并通过实例进行了应用分析 。

It is usually ignored in the traditional EOQ model that the opportunity cost results from lost sales when the enterprise has no commodity in the wearhouse. This paper focuses on some operating enterprise.Under the condition of time_limited partial back_orders and non_instant supply,an EOQ model is established of which it is more reasonable to assume the loss of without commodity in the warehouse divided into two parts:the opportunity cost due to lost sales and the shortage cost.It is discussed that the general cost function and the optimal solution to minimizing the total cost.The new basis of the decision of store system management is provided.Moreover,the model is applied to the example.