基于价格和时间影响需求的易逝品动态定价模型
摘要
针对易逝品的易变质特性,基于价格和时间共同影响的市场需求,文章讨论了一个初始库存确定、销售周期待定的最优控制问题。以零售商收益最大化为目标,运用Pontryagin极大值原理,求得两种情形下的最优动态定价策略和销售周期,并分别给出相应的判别方法。此外,还建立并求解了销售价格固定的静态模型。最后通过数值模拟验证模型有效性、动态定价模型的优越性。
引文
[1]Eilon S.and Mallaya R.Issuing and Pricing Policy of Semi-Perishables[M].New York:Wiley Iterscience,1966.
[2]Talavinadav.An EOQ Model for Items With a Fixed Shelf-Life and a Declining Demand Rate Based on Time-To-Expiry Technical Note[J].Asia-Pacific Journal of Operational Research,2009,(26).
[3]Cai X,Chen J,Xiao Y.Optimization and Coordination of Fresh Product Supply Chains With Freshness-Keeping Effort[J].Production and Operations Management,2010,19(3).
[4]Wu J,Chang C,Cheng M,et al.Inventory Management for Fresh Produce When the Time-Varying Demand Depends on Product Freshness,Stock Level and Expiration Date[J].International Journal of Systems Science,2016,3(3).
[5]但斌,王磊,李宇雨.考虑消费者效用与保鲜的生鲜农产品EOQ模型[J].中国管理科学,2011,19(1).
[6]陈奕娟,何利芳,张诚一.考虑新鲜度的生鲜食品动态定价模型[J].统计与决策,2016,(8).
[7]Avinadav T,Chernonog T,Lahav Y,et al.Dynamic Pricing and Promotion Expenditures in an EOQ Model of Perishable Products[J].Annals of Operations Research,2017,248(1).
[8]Li H,Tan M,Zou L.Dynamic Pricing for Perishable Products With Control of Cancellation Demands and Strategic Consumer[J].Open Journal of Social Sciences,2016,4(7).
[9]Ruibin B.A Model for Fresh Produce Shelf-Space Allocation and Inventory Management With Freshness-Condition-Dependent Demand[J].Informs Journal on Computing,2008,(20).
[10]罗兵,冯晖,陈星岐.新鲜度、价格和库存水平影响需求的高科技农产品订货策略[J].科技管理研究,2015,(10).
[2]Talavinadav.An EOQ Model for Items With a Fixed Shelf-Life and a Declining Demand Rate Based on Time-To-Expiry Technical Note[J].Asia-Pacific Journal of Operational Research,2009,(26).
[3]Cai X,Chen J,Xiao Y.Optimization and Coordination of Fresh Product Supply Chains With Freshness-Keeping Effort[J].Production and Operations Management,2010,19(3).
[4]Wu J,Chang C,Cheng M,et al.Inventory Management for Fresh Produce When the Time-Varying Demand Depends on Product Freshness,Stock Level and Expiration Date[J].International Journal of Systems Science,2016,3(3).
[5]但斌,王磊,李宇雨.考虑消费者效用与保鲜的生鲜农产品EOQ模型[J].中国管理科学,2011,19(1).
[6]陈奕娟,何利芳,张诚一.考虑新鲜度的生鲜食品动态定价模型[J].统计与决策,2016,(8).
[7]Avinadav T,Chernonog T,Lahav Y,et al.Dynamic Pricing and Promotion Expenditures in an EOQ Model of Perishable Products[J].Annals of Operations Research,2017,248(1).
[8]Li H,Tan M,Zou L.Dynamic Pricing for Perishable Products With Control of Cancellation Demands and Strategic Consumer[J].Open Journal of Social Sciences,2016,4(7).
[9]Ruibin B.A Model for Fresh Produce Shelf-Space Allocation and Inventory Management With Freshness-Condition-Dependent Demand[J].Informs Journal on Computing,2008,(20).
[10]罗兵,冯晖,陈星岐.新鲜度、价格和库存水平影响需求的高科技农产品订货策略[J].科技管理研究,2015,(10).