有限存储容量的采购生产存贮模型

A Procurement-production Inventory Model under Limited Storage Capacity

考虑仓库容量有限、产品允许缺货的原料采购、产品生产与存贮问题,针对原料的供应速率大于或小于其消耗速率这两种情况,分别建立相应的原料采购、产品生产与存贮的数学模型,求出租借仓库时的最优生产周期公式,并给出经济采购生产批量公式(EPPQ),推广了已有文献的结果.

In this paper, we consider the procurement-production inventory problem with allowing shortages under limited storage capacity. According to the material supplying rate which is greater/ less than consumption rats, two models are presented. For both cases, we characterise the optimal period of production and the economic procurement-production quantity which extend the presented results.