关键词: 随机订货点, 两阶段报童模型, 均匀分布

Abstract: When selling products, the retailer often considers secondary orders to reduce risks and increase profits. However, in practice, due to uncontrollable factors such as insufficient supply capacity of the manufacturer, the retailer is often unable to determine when the second order can be made. In view of this phenomenon, a two-stage newsvendor model with random second ordering time is studied. This paper assumes that the random ordering time and demand rate are subject to uniform distribution, and establishes a newsvendor model considering the second order, and gives an analytical solution of the optimal order quantity in two stages, which makes the expected profit of the retailer reach the maximum in the whole sales cycle. Through a specific example, the secondary order model with random ordering time is compared with the traditional one-time newsvendor model. The numerical results find that throughout the sales period the second order can improve the retailer's expected profit.

Key words: random ordering time, two-stage newsvendor model, uniform distribution