ANNOTATED BIBLIOGRAPHY ON BILEVEL PROGRAMMING AND MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS

STEPHAN DEMPE

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ANNOTATED BIBLIOGRAPHY ON BILEVEL PROGRAMMING AND MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS

机译：带平衡约束的Bilverel规划和数学规划的带注释的参考书目

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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.

机译：在本参考书目中，归纳了研究的主要方向以及具有平衡约束的双层规划问题和数学程序的主要应用领域。重点还在于较低级最优解的非唯一性以及最优性条件所带来的困难。

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《Optimization: A Journal of Mathematical Programming and Operations Research》 |2003年第3期|共27页
作者
STEPHAN DEMPE;
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正文语种 eng
中图分类应用数学;
关键词
Bilevel programming; Mathematical programming with equilibrium constraints; Set-valued optimization; Applications; Optimality conditions;

机译：双层规划;具有平衡约束的数学规划;集值优化;应用;最优条件;

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1. ANNOTATED BIBLIOGRAPHY ON BILEVEL PROGRAMMING AND MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS [J] . STEPHAN DEMPE Optimization: A Journal of Mathematical Programming and Operations Research . 2003,第3期

机译：带平衡约束的Bilverel规划和数学规划的带注释的参考书目
2. Existence Theorems of Quasivariational Inclusion Problems with Applications to Bilevel Problems and Mathematical Programs with Equilibrium Constraint [J] . L. J. Lin, H. J. Shie Journal of Optimization Theory and Applications . 2008,第3期

机译：拟变分包含问题的存在性定理及其在二层问题和具有平衡约束的数学程序中的应用
3. On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints [J] . Michael Patriksson Transportation Research Part B: Methodological . 2008,第10期

机译：运输科学中的双层优化模型的适用性和解决方案：带有平衡约束的随机数学程序最优解的存在性，稳定性和计算研究
4. Mixed integer linear programming formulation for chance constrained mathematical programs with equilibrium constraints [C] . Sayed A. Sadat, Lingling Fan IEEE Power and Energy Society General Meeting . 2017

机译：具有平衡约束的机会约束数学程序的混合整数线性规划公式
5. Mathematical programs with equilibrium constraints (MPECs) in process systems engineering. [D] . Baumrucker, Brian T. 2009

机译：过程系统工程中具有平衡约束（MPEC）的数学程序。
6. New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints [O] . Matúš Benko, Helmut Gfrerer -1

机译：一类具有析取约束的数学程序的新可验证平稳概念
7. On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints [O] . Patriksson, Michael 2008

机译：运输科学中的双层优化模型的适用性和解决方案：带有平衡约束的随机数学程序最优解的存在性，稳定性和计算研究
8. Dependence of bilevel mathematical programs on irrelevant constraints [R] . Macal, C. M. , Hurter, A. P. 1993

机译：双层数学程序对无关约束的依赖性

ANNOTATED BIBLIOGRAPHY ON BILEVEL PROGRAMMING AND MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS

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