含2部分费用的订购费用和库存费的库存模型

Inventory model with order cost and holding cost including two classes of cost

传统的确定性经济批量模型所解决的问题都是假定订购费用和库存费是固定不变的,文章在放松这个假定的情况下,研究了常数需求率下,含2部分费用的订购费用和库存费的变质性物品的库存模型。在该模型中,假定订购费用和库存费都包含固定费用和可变费用2部分费用,此外,允许短缺发生且短缺部分延期供给,证明了模型最优解的存在性和唯一性,通过数值实例验证了模型的求解过程,并作了相关参数的灵敏度分析。

The problems solved by the traditional economic lot-size model are all assumed that the order cost and the holding cost are fixed.In this paper,this assumption is loosened and a deteriorating items inventory model with the order cost and the holding cost including two classes of cost is developed under constant demand.This model assumes that both the order cost and the holding cost include two classes of cost,namely the fixed cost and the varied cost,and the shortages are allowed to occur and backlog.The existence and uniqueness of optimal solutions are also given.Numerical examples illustrate the solving process of the presented model,and the sensitivity analysis of related parameters is given.