供应不确定下易逝品定价和订货联合决策模型

Joint decision model of pricing and ordering of perishable products under supply uncertainty

为求解面临随机需求的易逝品零售商在供应不确定时对产品订购数量和销售价格同时决策的问题,通过采用最优化方法,建立了相应的数学模型,提出了问题最优解的唯一性条件及求解联合决策问题的迭代算法,并证明了价格是次品率和供货延迟率的增函数,安全库存量是次品率和供货延迟率的减函数,以及在价格给定时,最优订购量和最优期望利润是次品率和供货延迟率的减函数。数值实验结果印证了这一结论,并显示最优利润是次品率和供货延迟率的减函数。结论说明,易逝品零售商在充分衡量供应商的供应能力后,应选择能力高者。

To solve the problem of pricing and ordering uncertainty for perishable products,the mathematical model based on the optimal method was established,and the condition of the unique optimal policy and the iteration method for the joint decision problem were provided.It was proved that the price was an increasing function of the probability of the wasters and the delivery delay,that the safety inventory was a decreasing function of the probability of the wasters and the delivery delay,and that when the price was given,the optimal order number and the expected profit was a decreasing function of the probability of the wasters and the delivery delay.The numerical analysis conforms to these results,and shows that the optimal profit is a decreasing function of the probability of the wasters and the delivery delay.Retailers should select a supplier with the greater capability of supply after consideration.