A Computational Study of Global Algorithms for Linear Bilevel Programming

被引:4
作者
Carlos Henrique Medeiros de Sabóia
Manoel Campêlo
Susana Scheimberg
机构
[1] Universidade Federal do Rio de Janeiro – UFRJ,COPPE/Sistemas
[2] Universidade Federal do Ceará – UFC,Dep. Estatística e Mat. Aplicada
[3] Universidade Federal do Rio de Janeiro – UFRJ,DCC/IM, COPPE/Sistemas
来源
Numerical Algorithms | 2004年 / 35卷
关键词
bilevel linear programming; global optimization; branch-and-bound; exact penalty methods;
D O I
暂无
中图分类号
学科分类号
摘要
We analyze two global algorithms for solving the linear bilevel program (LBP) problem. The first one is a recent algorithm built on a new concept of equilibrium point and a modified version of the outer approximation method. The second one is an efficient branch-and-bound algorithm known in the literature. Based on computational results we propose some modifications in both algorithms to improve their computational performance. A significant number of experiments is carried out and a comparative study with the algorithms is presented. The modified procedures has better performance than the original versions.
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页码:155 / 173
页数:18
相关论文
共 32 条
[1]  
Amouzegar M.(1999)Determining optimal pollution control policies: An application of bilevel programming European J. Oper. Res. 119 100-120
[2]  
Moshirvaziri K.(1990)A branch and bound algorithm for the bilevel programming problem SIAM J. Sci. Statist. Comput. 11 281-292
[3]  
Bard J.(1989)On the structure and properties of a linear multilevel programming problem J. Optim. Theory Appl. 60 353-373
[4]  
Moore J.(1984)Two-level linear programming Managm. Sci. 30 1004-1020
[5]  
Benson H.(1993)Generating linear and linear-quadratic bilevel programming problems SIAM J. Sci. Statist. Comput. 14 770-782
[6]  
Bialas W.F.(1982)A linear two-level programming problem Comput. Oper. Res. 9 56-76
[7]  
Karwan M.H.(2001)Bilevel programming applied to optimising urban transportation Transport. Res. 35 41-70
[8]  
Calamai P.(1992)New branch-and-bound rules for linear bilevel programming SIAM J. Sci. Statist. Comput. 13 1194-1217
[9]  
Vicente L.(1997)Sustainable economic developments in the Australian energy sector: Findings of the Australian energy planning system optimization model (AEPSOM) Renewable Sustainable Energy Rev. 1 229-238
[10]  
Candler W.(1992)A sequential LCP method for bilevel linear programming Ann. Oper. Res. 34 89-106