需求受价格和库存影响的非立即变质物库存模型

摘要

In this paper,considering the influence of price and inventory on the demand for the non-instantaneously deteriorating items,we established the monooyclic inventory model for such items which allowed for no stock shortage and had infinite replenishment rate,verified the existence of an optimal solution and presented the method to find the optimal inventory strategy and optimal marketing price.%对于非立即变质类的物品,考虑它的需求率同时受价格和库存的影响,当库存大于一定量时,需求只受价值影响；小于一定量时,需求同时受价格和库存影响.在不允许缺货,且补充率为无穷的情况下,建立了单周期的库存模型,证明了其最优解的存在性,并给出了寻求最优库存策略和最优销售价格的方法.