摘要
需求区间销售模式选择鲁棒定价预售合理性在可预知的需求信息为区间表达的情形下,研究销售模式选择与鲁棒定价决策问题,目的是分析预售的合理性和必要性.首先建立不进行预售时的鲁棒定价决策模型,根据逐层求解法得到鲁棒最优价格和实际销售利润.然后考虑通过预售获取确切需求信息并在现售阶段调整销售价格的两阶段鲁棒定价模型,根据预售所获得的实际利润评估预售的合理性.进一步地,基于风险中性准则对事先获取的需求区间进行分析,根据需求上下限和顾客购买偏好比例给出预售必要性的判别条件.最后设计了数值算例,考察预售的必要性如何随关键参数的变化而变化,以及不同销售模式下利润函数关于需求下限与实际需求之间差值的敏感性.
This paper considers selling model choice and robust pricing decision for the case in which the demand information is an interval.The main purpose is to analyze the reasonability and the necessity of the advance selling.First,a robust pricing model for the spot-only selling is constructed.By layer-by-layer method,the robust optimal price and the profit of the spot-only selling are obtained.Second,we consider a two-period dynamic selling model.In the advance-selling period,a robust pricing strategy is proposed and then the precise demand information is achieved.In the spot-selling period,the real demand is used to adjust the price.The reasonability of the advance selling is assessed by the profit gained in the advance-selling period.Third,the demand interval is examined according to the risk-neutral criterion,and a judging condition for the necessity of advance selling is presented by considering the lower and upper bound of the demand and the consumers'purchase preference proportion.Finally,two numerical illustrations are designed,to investigate the change of the necessity of advance selling over crucial parameters and the sensitivity of the profit of each selling model with respect to the difference value between the lower bound of the demand and the real demand.
作者
楼振凯
王治莹
逄金辉
LOU Zhenkai;WANG Zhiying;PANG Jinhui(School of Management Science and Engineering,Anhui University of Technology,Maanshan 243032;School of Computer Science&Technology,Beijing Institute of Technology,Beijing 100081)
出处
《系统科学与数学》
CSCD
北大核心
2024年第7期1945-1958,共14页
Journal of Systems Science and Mathematical Sciences
基金
科技创新2030-“新一代人工智能”重大项目(2018AAA0101000)
国家自然科学基金面上项目(72074002)
安徽省自然科学基金项目(2308085QG232)
安徽省高校科研项目(2023AH051120)资助课题。
关键词
需求区间
销售模式选择
鲁棒定价
预售合理性
Demand interval
selling model choice
robust pricing
the reasonability of advance selling
