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两零售商竞争的二层报童问题
引用本文:安中华,江俊彦.两零售商竞争的二层报童问题[J].湖北第二师范学院学报,2012(2):1-4.
作者姓名:安中华  江俊彦
作者单位:湖北第二师范学院数学与数量经济学院;武汉大学计算机学院
基金项目:湖北省教育厅科学技术研究项目(d20103001)
摘    要:本文以单供应商为领导层,两零售商为从属层,建立了需求不确定情况下两零售商基于古诺竞争的二层报童问题模型,再根据下层问题的特点将其转化为单层问题,然后进行近似处理,并利用遗传算法给出了近似求解方法。最后给出了算例和灵敏度分析。

关 键 词:二层规划  报童问题  两零售商

Model for Bilevel Newsvendor Problem with Two Competing Retailers
AN Zhong-hua,JIANG Jun-yan.Model for Bilevel Newsvendor Problem with Two Competing Retailers[J].Journal of Hubei University of Education,2012(2):1-4.
Authors:AN Zhong-hua  JIANG Jun-yan
Institution:1.School of Mathematics and Quantitative Economics,Hubei University of Education,Wuhan 430205,China; 2.School of Computer,Wuhan University,Wuhan 430072,China)
Abstract:In this paper,we review the newsvendor problem with competing retailers.A bilevel newsvendor problem is raised under uncertain demand with one supplier as the leader and two retailers as the followers,and the competion model between the retailers is based on cournot game.We tranfer the bilevel newsvendor problem into a single level newsvendor problem according to the lower level’s charaters.We get the approximate method,and then solve the single level problem with genetic algorithm.Finally,the effects of the parameters(such as the retail price) on the whole price and order quantities are considered.
Keywords:bilevel programming  newsvendor problem  two retailers
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