A review on bilevel optimization: From classical to evolutionary approaches and applications

A Sinha, P Malo, K Deb - IEEE transactions on evolutionary …, 2017 - ieeexplore.ieee.org
Bilevel optimization is defined as a mathematical program, where an optimization problem
contains another optimization problem as a constraint. These problems have received …

An overview of bilevel optimization

B Colson, P Marcotte, G Savard - Annals of operations research, 2007 - Springer
This paper is devoted to bilevel optimization, a branch of mathematical programming of both
practical and theoretical interest. Starting with a simple example, we proceed towards a …

Investigating bi-level optimization for learning and vision from a unified perspective: A survey and beyond

R Liu, J Gao, J Zhang, D Meng… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Bi-Level Optimization (BLO) is originated from the area of economic game theory and then
introduced into the optimization community. BLO is able to handle problems with a …

[ΒΙΒΛΙΟ][B] Theory and practice of uncertain programming

B Liu, B Liu - 2009 - Springer
Real-life decisions are usually made in the state of uncertainty. How do we model
optimization problems in uncertain environments? How do we solve these models? 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 …

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 …

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 …

Bilevel programming: A survey

B Colson, P Marcotte, G Savard - 4or, 2005 - Springer
This paper provides an introductory survey of a class of optimization problems known as
bilevel programming. We motivate this class through a simple application, and then proceed …

A taxonomy of metaheuristics for bi-level optimization

EG Talbi - Metaheuristics for bi-level optimization, 2013 - Springer
In recent years, the application of metaheuristic techniques to solve multilevel and
particularly bi-level optimization problems (BOPs) has become an active research area …

A two-stage robust energy sharing management for prosumer microgrid

S Cui, YW Wang, JW **ao, N Liu - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The paper proposes a two-stage energy sharing framework for a new prosumer microgrid
with renewable energy generation, multiple storage units, and load shifting. In the first stage …