需求受时间和价格影响的预订销售库存模型

摘要

针对一个带有预订销售的库存问题(其中需求是时间的二次函数,是价格的线性减函数,而且取消预订费是时间的增函数),建立相应的预订销售利润模型,分析模型的性质,给出寻找最优策略的算法,并用数值例子验证模型和算法是有效的.%An inventory problem with advanced sales is discussed,where demand rate is a quadratic function of time and linear decreasing function of price , and cancellation cost is an increasing function of time. An advance sales model is established,its characteristics are analyzed and an algorithm is provided to find out the optimal replenishment policy. Finally,a numerical example is used to illustrate the validity of the model and its algorithm.