一种考虑延期交货及失去销售的库存模型

确定最优生产周期和生产时间，降低库存系统总成本，是企业库存管理的核心内容之一。在经典EPQ模型基础上，考虑延期交货及丢单损失，建立了相应的生产库存模型。数学分析及参数的灵敏度分析显示，延期交货系数对库存系统各项成本有不同程度的影响，是实际生产库存决策必须控制的重要因素。

An EPQ Model with Back- orders and Lost Sales

It is important for enterprises inventory management to find out the optimal production cycle and the length of production time, so that the total cost of inventory system can be reduced. Based on the classical EPQ model, it develops an EPQ model for back orders and lost sales loss. It discusses the existence of unique optimal solution in mathematic analysis and a numeric example. The mathematic analysis and sensitivity analysis shows that the coefficient of back - orders has different impact on the costs of inventory system. The factors must be considered for the production inventory system to make management decision.