随机提前期与供给水平联合约束的库存问题

提前期在库存管理中起着重要作用,但大多数文献都把提前期作为一个常量来处理,主要考虑的是不同的随机需求,而在实际问题里提前期往往是一个随机变量。这里研究了有限订货周期内,一定的产品供给水平下考虑提前期和需求都为随机变量的情况,并建立了库存模型。考察如何确定订货批量Q、订货上限R,才能使得期望平均总费用最少,其中最佳产品供给水平只与单位库存费用和单位缺货费用相关。

The Inventory Problem with Stochastic Lead Time and Service Level Mixed Constraints

Lead time plays an important role in inventory management. But the lead time is often considered as a constant, and the different stochastic demand processes are often focused on in many articles. This paper interprets the inventory problem with Stochastic Lead Time and Service Level Mixed Constraints in limited period. And a model is developed to search variables Q,R minimizing the long-run average cost subject to service level constraints. The best service level is proved to be related with the unit cost and unit stockout cost .