Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints

By Stephan Dempe. 2003

508 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/13cafff6a817a17e6a185feae1ab0968bd611428

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Thomas Pock
2. Kalyanmoy Deb
3. Thomas Brox
4. Peter Ochs
5. Pekka Malo
6. Ankur Sinha
7. René Ranftl
8. Patrice Marcotte

In Control and Systems Engineering

1. Kalyanmoy Deb
2. Patrice Marcotte
3. Thomas Brox
4. Thomas Pock
5. Gautam Kunapuli
6. Jong-Shi Pang
7. Peter Ochs
8. Kristin P. Bennett

In Geometry and Topology

1. Patrice Marcotte
2. Kalyanmoy Deb
3. Thomas Brox
4. Thomas Pock
5. Peter Ochs
6. Abdelatif Mansouri
7. René Ranftl
8. Gilles Savard

Citations in the corpus

• Techniques for Gradient-Based Bilevel Optimization with Non-smooth Lower Level Problems (2016, methodology): “Finally, we refer to [13] for an annotated bibliography with many references regarding the theoretical and practical development in bilevel optimization.”
• On the solution of convex bilevel optimization problems (2015, unknown): “Bilevel optimization has been the topic of three monographs [1] by Bard, [2] by Dempe and [3] by Dempe et al. as well as of the bibliography [4] by Dempe.”
• Weak linear bilevel programming problems : Existence of solutions via a penalty method (2005, background): “The reader is also referred to the annotated bibliography on bileve mization given in [6,7].”
• A Review on Bilevel Optimization: From Classical to Evolutionary Approaches and Applications (2017, background): “At this point, we would like to refer the readers to other review papers [49], [57], [90], [150], [164] and books [18], [60], [61], [140], [159] on bilevel optimization.”
• An overview of bilevel optimization (2007, background): “Colson (1999) deals with both nonlinear bilevel programming problems and mathematical programs with equilibrium constraints and recently Dempe (2003) wrote an annotated bibliography on these same topics.”
• Bilevel Optimization and Machine Learning (2008, background): “See the annotated bibliography [8], which contains many references.”
• Is bilevel programming a special case of a mathematical program with complementarity constraints? (2012, unknown): “the annotated bibliography Dempe [5]).”