[HTML][HTML] A survey on mixed-integer programming techniques in bilevel optimization

T Kleinert, M Labbé, I Ljubić, M Schmidt - EURO Journal on Computational …, 2021 - Elsevier
Bilevel optimization is a field of mathematical programming in which some variables are
constrained to be the solution of another optimization problem. As a consequence, bilevel …

Bilevel and multilevel programming: A bibliography review

LN Vicente, PH Calamai - Journal of Global optimization, 1994 - Springer
This paper contains a bibliography of all references central to bilevel and multilevel
programming that the authors know of. It should be regarded as a dynamic and permanent …

Stronger data poisoning attacks break data sanitization defenses

PW Koh, J Steinhardt, P Liang - Machine Learning, 2022 - Springer
Abstract Machine learning models trained on data from the outside world can be corrupted
by data poisoning attacks that inject malicious points into the models' training sets. A …

Consensus mechanism with maximum-return modifications and minimum-cost feedback: A perspective of game theory

B Zhang, Y Dong, H Zhang, W Pedrycz - European Journal of Operational …, 2020 - Elsevier
In group decision making, the interaction behaviors between the moderator and decision
makers play a critical role in a consensus process. In this study, based on the essential …

[BOG][B] Foundations of bilevel programming

S Dempe - 2002 - books.google.com
Bilevel programming problems are hierarchical optimization problems where the constraints
of one problem (the so-called upper level problem) are defined in part by a second …

[BOG][B] Practical bilevel optimization: algorithms and applications

JF Bard - 2013 - books.google.com
The use of optimization techniques has become integral to the design and analysis of most
industrial and socio-economic systems. Great strides have been made recently in the …

Bilevel optimization: theory, algorithms, applications and a bibliography

S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints

S Dempe - 2003 - Taylor & Francis
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 …

There's no free lunch: on the hardness of choosing a correct big-M in bilevel optimization

T Kleinert, M Labbé, F Plein… - Operations …, 2020 - pubsonline.informs.org
One of the most frequently used approaches to solve linear bilevel optimization problems
consists in replacing the lower-level problem with its Karush–Kuhn–Tucker (KKT) conditions …

Shelter location and transportation planning under hurricane conditions

ACY Li, L Nozick, N Xu, R Davidson - Transportation Research Part E …, 2012 - Elsevier
This paper develops a scenario-based bilevel programming model to optimize the selection
of shelter locations with explicit consideration of a range of possible hurricane events and …