一种丢单程度与库存水平线性相关的EPQ模型

EPQ Model with Different Lost Sale Factor Relative to Inventory Level

确定最优生产周期和缺货时间,降低库存系统总成本,提高服务水平,是企业库存管理的核心内容之一.在经典EPQ模型基础上,考虑变质物品在仓库出空期间丢单与库存水平线性相关的情况,建立了相应的生产库存模型.数学分析和仿真计算表明该模型存在唯一最优解.主要参数的灵敏度分析显示,丢单系数和变质系数对库存系统各项成本有不同程度的影响,在实际生产库存决策时必须考虑这些因素.

It is important for enterprises＇inventory management to find out the optimal production cycle and the length of shortage time, so that the total cost of inventory system can be reduced and the service level can be raised. Based on the classical EPQ model, this paper develops an EPQ model for deterioration items with different lost sale factor relative to the inventory level during shortage period. The existence of unique optimal solution is discussed by mathematic analysis and a numeric example. The sensitivity analysis shows that the parameter of losing sale has different impact on the costs of inventory system. The factors must be considered for the production inventory system to make management decision.