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Optimal dynamic pricing problem considering patient and impatient customers' purchasing behaviour
Cao, Ping1; Fan, Mengmeng2,3; Liu, Ke2,3
2015-11-17
发表期刊INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH
ISSN0020-7543
卷号53期号:22页码:6719-6735
摘要We divide customers into two types according to their purchasing behaviour: one is impatient and the other is patient. An impatient customer will be immediately lost if his reservation price of the product is below the current price, while a patient customer will wait until the price drops below his reservation price and buy one item. The seller's objective is to maximise his expected discounted overall revenue by dynamically pricing. We prove that the optimal pricing policy has a control limit structure, examine the impact of the proportion parameter on the seller's expected discounted overall revenue and show that the limiting behaviour of the optimal pricing policy when there are little patient customers is the same as the optimal static pricing policy. We also show that the seller will make more profit if he partially knows the number of waiting customers by providing subscription service to customers. A set of numerical results illustrates the value of dynamic pricing and information with respect to problem parameters such as the arriving probability and the subscription probability.
关键词pricing patient customer impatient customer control limit policy value of information
DOI10.1080/00207543.2015.1056320
语种英语
资助项目National Natural Science Foundation of China[71390334] ; National Natural Science Foundation of China[71401159] ; National Natural Science Foundation of China[11271356] ; Fundamental Research Funds for the Central Universities[WK2040160009]
WOS研究方向Engineering ; Operations Research & Management Science
WOS类目Engineering, Industrial ; Engineering, Manufacturing ; Operations Research & Management Science
WOS记录号WOS:000365529700005
出版者TAYLOR & FRANCIS LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/21393
专题应用数学研究所
通讯作者Fan, Mengmeng
作者单位1.Univ Sci & Technol China, Sch Management, Hefei 230026, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, MADIS, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing, Peoples R China
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Cao, Ping,Fan, Mengmeng,Liu, Ke. Optimal dynamic pricing problem considering patient and impatient customers' purchasing behaviour[J]. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH,2015,53(22):6719-6735.
APA Cao, Ping,Fan, Mengmeng,&Liu, Ke.(2015).Optimal dynamic pricing problem considering patient and impatient customers' purchasing behaviour.INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH,53(22),6719-6735.
MLA Cao, Ping,et al."Optimal dynamic pricing problem considering patient and impatient customers' purchasing behaviour".INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH 53.22(2015):6719-6735.
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