摘要
考虑带有消费者参考价格效应的具有乘项需求的价格报童模型,未满足的需求全部损失.基于平均销售的库存因子弹性定义了一类新的因子弹性-带有参考价格效应的平均销售库存因子弹性,借助此因子弹性和需求价格弹性分别分析了参考价格以及需求随机性对最优价格、订货量、最优利润以及最优服务水平的影响.最后,通过数值试验验证了结论的正确性.
This paper considers pricing newsvendor problem facing multiplicative demand uncertainty with reference price effects under no backlog. We define a new class of elasticfactor-the average sales stock-factor-elasticity with reference price based on the classical average sales stock-factor-elasticity. Further, we analyze the effects on optimal price, optimal order quantity, optimal profit and optimal service level with respect to reference price and demand randomness, respectively by using the average sales stock-factor-elasticity with reference price and price-elasticity of demand. Numerical results are given to verify the conclusion.
作者
李园
侯玉梅
LI Yuan;HOU Yu-mei(School of Economics and Management, Yanshan University, Qinhuangdao 066004, China;College of Mathematics, Inner Mongolia University for the Nationalities, Tongliao) 028000, China)
出处
《数学的实践与认识》
北大核心
2019年第11期1-12,共12页
Mathematics in Practice and Theory
基金
国家自然科学基金面上项目(71071134)
河北省人社厅留学人员科技活动项目(C201400157)
关键词
报童模型
库存因子弹性
需求价格弹性
参考价格效应
newsvendor model
stock-factor-elasticity
price-elasticity of demand
reference price effects
