Solving a Huff-like Stackelberg location problem on networks

被引:0
作者
Boglárka G.-Tóth
Kristóf Kovács
机构
[1] Budapest University of Technology and Economics,Department of Differential Equations
来源
Journal of Global Optimization | 2016年 / 64卷
关键词
Stackelberg problem; Bilevel optimization; Branch and Bound; Interval analysis; DC decomposition;
D O I
暂无
中图分类号
学科分类号
摘要
This work deals with a Huff-like Stackelberg problem where the leader wants to locate a facility so that its profit is maximal after the competitor (the follower) has built its facility. We assume that the follower makes a rational decision, maximizing its own profit. The inelastic demand is aggregated into the vertices of a graph, and facilities can be located along the edges. For this computationally hard problem we give a Branch and Bound algorithm using interval analysis and DC bounds. Our computational experience shows that the problem can be solved on medium sized networks in reasonable time.
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页码:233 / 247
页数:14
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