| 可变吸引力竞争选址模型与算法研究 |
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| 引用本文： | 陈中武,张宗祥.可变吸引力竞争选址模型与算法研究[J].河南师范大学学报(自然科学版),2013,41(4):5-8. |
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| 作者姓名： | 陈中武 张宗祥 |
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| 作者单位： | 华中科技大学管理学院,武汉,430074 |
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| 基金项目： | 国家自然科学基金，教育部人文社会科学研究青年基金项目，中央高校基本科研业务费专项基金 |
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| 摘 要： | 结合Huff重力模型,考虑了市场存在一个或多个竞争对手情形下的新设施竞争选址模型.假设顾客访问设施的概率与设施吸引力成正比,与设施同需求点的距离成反比.企业通过确定新设施的选址位置和设施的吸引力水平来追求利润最大化.建立了混合整数非线性规划模型并设计算法进行求解.并通过随机算例验证了算法的有效性.
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| 关 键 词： | 可变吸引力 竞争选址 非线性规划 拉格朗日松弛 |
Competitive Facility Location Models and Algrithms Based on Variable Attractiveness |
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| CHEN Zhongwu
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ZHANG Zongxiang.Competitive Facility Location Models and Algrithms Based on Variable Attractiveness[J].Journal of Henan Normal University(Natural Science),2013,41(4):5-8. |
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| Authors: | CHEN Zhongwu ZHANG Zongxiang |
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| Institution: | (School of Management,Huazhong University of Science & Technology,Wuhan 430074,China) |
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| Abstract: | Based on Huff's gravity rule,we consider the competitive facility location problem in which new facilities have to be located by a new market entrant firm to compete against already existing facilities that may belong to one or more competitors.We assume that the probability of customers patronize a facility is proportional to the facility attractiveness and inversely proportional to the distance between them.The objective is to determine the locations of the new facilities and their attractiveness levels so as to maximize the profit.We formulate a mixed-integer nonlinear programming model and try to.Numerical experiments on randomly generated instances demonstrate the effectiveness of the method |
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| Keywords: | variable attractiveness competitiv location nonlinear programming lagrange relaxation |
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