Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints

被引：368
作者：
Dempe, S [1 ]
机构：
[1] TU Bergakad Freiberg, Fak Math & Informat, Inst Angew Math 2, D-09596 Freiberg, Germany
来源：
OPTIMIZATION | 2003年 / 52卷 / 03期
关键词：
bilevel programming; mathematical programming with equilibrium constraints; set-valued optimization; applications; optimality conditions;
D O I：
10.1080/0233193031000149894
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this bibliography main directions of research as well as main fields of applications of bilevel programming problems and mathematical programs with equilibrium constraints are summarized. Focus is also on the difficulties arising from nonuniqueness of lower-level optimal solutions and on optimality conditions.
引用
收藏
页码：333 / 359
页数：27
相关论文
共 215 条
[1]  
Abou-Kandil H., Bertrand P., Government-private sector relations as a Stackelberg game: A degenerate case, Journal of Economical Dynamics and Control, 11, pp. 513-517, (1987)
[2]  
Aboussoror A., Loridan P., Strong-weak Stackelberg problems in finite dimensional spaces, Serdica Mathematical Journal, 21, pp. 151-170, (1995)
[3]  
Addoune S., Optimisation à Deux Niveaux: Conditions d'Optimalité, Approximation et Stabilité, (1994)
[4]  
Aiyoshi E., Shimizu K., Hierarchical decentralized systems and its new solution by a barrier method, IEEE Transactions on Systems, Man, and Cybernetics, 11, pp. 444-449, (1981)
[5]  
Aiyoshi E., Shimizu K., A solution method for the static constrained Stackelberg problem via penalty method, IEEE Transactions on Automatic Control, 29, pp. 1111-1114, (1984)
[6]  
Al-Khayyal F., Horst R., Pardalos P., Global optimization of concave functions subject to quadratic constraints: An application in non-linear bilevel programming, Annals of Operations Research, 34, pp. 125-147, (1992)
[7]  
Amouzegar M.A., Jacobsen S.E., A decision support system for regional hazardous waste management alternatives, Journal of Applied Mathematics and Decision Sciences, 2, pp. 23-50, (1998)
[8]  
Amouzegar M.A., Moshirvaziri K., A penalty method for linear bilevel programming problems, Multilevel Optimization: Algorithms and Applications, pp. 251-271, (1998)
[9]  
Amouzegar M.A., Moshirvaziri K., Determining optimal pollution control policies: An application of bilevel programming, European Journal of Operational Research, 119, pp. 100-120, (1999)
[10]  
Anandalingam G., An analysis of information and incentives in bi-level programming, IEEE 1985 Proceedings of the International Conference on Cybernetics and Society, pp. 925-929, (1985)
12345678910