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

被引：14

作者：

Yan, Xiaoming ^{[1
]}

Liu, Ke ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China

来源：

INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS | 2009年 / 119卷 / 02期

关键词：

Production capacity; Negative word-of-mouth; New product; Optimal policy; DIFFUSION; CAPACITY; DEMAND; MODELS; PRICE; CONSTRAINTS;

D O I：

10.1016/j.ijpe.2009.03.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

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.

引用

页码：402 / 414

页数：13

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