在无限时间范围内,需求率为随机波动函数且依赖于产品销售价格时,研究了单一易变质产品的联合订购与定价策略.采用周期盘点的(T,S)库存策略,即每隔相同的订购周期时长T,将库存水平补充到S,缺货完全补足.在不考虑固定订购成本及订购提前期的前提下,建立了库存模型.采用Aggoun等提出的直接法(Directapproach)及泰勒级数展开对此模型进行了近似.针对需求率为一类特定形式时,分析了易变质产品最优订购与定价策略的求解方法.给出算例并进行仿真,得到了问题的近似最优解.
The optimal ordering and pricing decisions for a single deteriorating product are studied during an infinite time horizon when demand rate is a stochastic fluctuating variable and depends linearly on the product's selling price.The periodic review(T,S) inventory policy is adopted which means that the inventory level is replenishment to S at the intervals of T.The methods to calculate all kinds of the system's cost are given and the mathematical model is developed. Solution method of the optimal pricing and ordering policies is analyzed for a special pattern of the demand rate.The reasonableness of this model is proved by a numerical example.