Optimal control problems for a new product with word-of-mouth

doi:10.1016/j.ijpe.2009.03.011

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	Optimal control problems for a new product with word-of-mouth
	Yan, Xiaoming; Liu, Ke
	2009-06-01
发表期刊	INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS
ISSN	0925-5273
卷号	119 期号:2 页码:402-414
摘要	In this paper, we consider a firm to maximize its profit by choosing a production capacity and determining the production and sales policies for a new product during the lifetime of the product, We extend Bass demand process into more general case including the negative effectiveness of word-of-mouth. Under some mild conditions, we show that the optimal sales policy is myopic, then we obtain the closed forms of the optimal production and sales policies in three cases. Furthermore, we can determine the optimal production capacity by solving several equations. (C) 2009 Elsevier B.V. All rights reserved.
关键词	Production capacity Negative word-of-mouth New product Optimal policy
DOI	10.1016/j.ijpe.2009.03.011
语种	英语
资助项目	National Natural Science Foundation China[60674082] ; National Natural Science Foundation China[70731003] ; National Natural Science Foundation China[70221001]
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:000267643400016
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7621
专题	应用数学研究所
通讯作者	Yan, Xiaoming
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yan, Xiaoming,Liu, Ke. Optimal control problems for a new product with word-of-mouth[J]. INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS,2009,119(2):402-414.
APA	Yan, Xiaoming,&Liu, Ke.(2009).Optimal control problems for a new product with word-of-mouth.INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS,119(2),402-414.
MLA	Yan, Xiaoming,et al."Optimal control problems for a new product with word-of-mouth".INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS 119.2(2009):402-414.