摘要
研究了有限库存情况下带有全量数量折扣的易逝品动态定价问题.假定顾客的保留价格服从均匀分布,厂商采取两阶段动态定价,并且当第二阶段剩余库存大于零时采取数量折扣策略.首先,考虑厂商未采取数量折扣策略,建立基本模型,给出厂商最优两阶段价格的表达式;其次,基于基本模型给出第二阶段最优数量折扣的表达式.最后,假设第二阶段采取的价格折扣与购买2个单位产品的顾客数量比例为一次函数关系的情况下,利用Matlab进行模拟计算并给出灵敏度分析.结果表明,采取数量折扣策略后,有效地降低了厂商的剩余库存,提高了厂商利润;并且顾客保留价格相差越大,厂商利润增加越明显.
The perishable products＇ dynamic pricing with quantity discount was studied on the basis of the assumption that the consumer＇s reservation price drawed from a uniform distribution. The seller adopted two-phase pricing, and the all-quantity discount policy was employed when the remaining inventory was bigger than zero in the second phase. When the quantity discount was not considered, the basic model was given to present the optimal two-phase pricing strategy. Based on the basic model, the extension model gave the optimal quantity discount strategy. Finally, Matlab was introduced into a numerical simulation and sensitive tests were made when the relationship was a linear function between the second phase＇s price discount and the proportion of consurmers who purchased two units of products. As a result, the seller＇s profit increased obviously by reducing inventories. The profit increment rate increased significantly when consumers＇ reservation prices varied significantly.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2013年第9期1442-1446,共5页
Journal of Tongji University:Natural Science
基金
上海市优秀学术带头人计划(11XD1405100)
上海市重点学科建设项目(B310)
关键词
易逝品
两阶段动态定价
数量折扣策略
perishable products
two-phase dynamic pricing
quantity discount
