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Coordinating pricing and inventory control in a fluctuating environment
Zhang, Ju-liang1; Chen, Jian2; Zhang, Xiang-sun3
2010-04-01
发表期刊ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN0168-9673
卷号26期号:2页码:187-204
摘要This paper addresses the simultaneous determination of pricing and inventory replenishment strategies under a fluctuating environment. Specifically, we analyze the single item, periodic review model. The demand consists of two parts: the deterministic component, which is influenced by the price, and the stochastic component (perturbation). The distribution of the stochastic component is determined by the current state of an exogenous Markov chain. The price that is charged in any given period can be specified dynamically. A replenishment order may be placed at the beginning of some or all of the periods, and stockouts are fully backlogged. Ordering costs that are lower semicontinuous, and inventory/backlog (or surplus) costs that are continuous with polynomial growth. Finite-horizon and infinite-horizon problems are addressed. Existence of optimal policies is established. Furthermore, optimality of (s,S,p)-type policies is proved when the ordering cost consists of fixed and proportional cost components and the surplus cost (these costs are all state-dependent) is convex.
关键词Stochastic inventory management Markov chains pricing finite horizon infinite horizon
DOI10.1007/s10255-007-7093-7
语种英语
资助项目National Natural Science Foundation of China[70621061] ; National Natural Science Foundation of China[70890082] ; National Natural Science Foundation of China[70671100] ; Science Foundation of Beijing Jiaotong University[2007RC014]
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000275746800002
出版者SPRINGER HEIDELBERG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/10852
专题应用数学研究所
通讯作者Zhang, Ju-liang
作者单位1.Beijing Jiaotong Univ, Sch Econ & Management, Dept Logist Management, Beijing 100044, Peoples R China
2.Tsinghua Univ, Sch Econ & Management, Dept Management Sci & Engn, Beijing 100084, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
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GB/T 7714
Zhang, Ju-liang,Chen, Jian,Zhang, Xiang-sun. Coordinating pricing and inventory control in a fluctuating environment[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2010,26(2):187-204.
APA Zhang, Ju-liang,Chen, Jian,&Zhang, Xiang-sun.(2010).Coordinating pricing and inventory control in a fluctuating environment.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,26(2),187-204.
MLA Zhang, Ju-liang,et al."Coordinating pricing and inventory control in a fluctuating environment".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 26.2(2010):187-204.
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