两种需求模式下报童模型的最优定价-订购联合决策

在加法和乘法两种需求模式下，研究了带有缺货惩罚的单周期报童模型的最优定价-订购联合决策问题，证明了最优决策的存在性及唯一性的充分条件，并具体给出了最优决策的解析表达式。通过数值算例，验证了结论的有效性，给出了价格敏感因子对最优决策和期望收益的影响。研究结果在理论上更具有一般性，而且为研究多零售商的价格竞争决策问题和供应链契约协调等问题提供了理论依据。

Optimal joint pricing and ordering decisions in newsvendor model with two demand cases

In the standard newsvendor model, the price is assumed to be fixed or exogenously given, so a decision maker
facing random demand decides how much of it to order for a single selling period. This paper studies an extension of the
newsvendor problem in which stocking quantity and selling price are set simultaneously. The general newsvendor model with
lost-sale penalty cost is considered, then the existence and uniqueness of the joint pricing and ordering decisions are proved
respectively for two different demand models. Finally, an numerical example is used to verify the results. It is also given
that the price sensitivity of demand has an effect on optimal decisions and revenue. These results are not only more general
but also may serve as the modeling framework for other related research such as multi-retailer competition and supply chain
contract coordination.