客户耐烦期相同的生产——库存系统最优模型

Optimal Production-Inventory Model with Client′s SameLimited Time of Free Backorder

在常数需求率以及有限生产率条件下研究了订货客户耐烦期相同的一类新的生产——库存模型 ,在每一个周期内考虑了延期交货时间超过耐烦期的短缺费用和销售机会损失等因素 ,给出了相应的最优生产时间和周期的确定方法 ,利用数学软件 Matlab及计算机为工具给出了数字例子进行说明 。

This paper deals with the new production-inventory model with the same limited time of free backorder for each clints,under the conditions of constant demand rate and finite production rate. It looks into the factors such as costs of stockout, loss of sale opportunity and etc.in each cycle,if they arise when the backorder time is longer than the client′s limited time of free backorder. The method to find the corresponding optimal schedule(including the optimal production time and cycle length) is proposed. Numerical examples worked out with the help of the software Matlab and computer are given to illustrate the proposed solution procedure. The method and results provide theoretical principles for the management to make decisions in the inventory system.