A review on bilevel optimization: From classical to evolutionary approaches and applications
Bilevel optimization is defined as a mathematical program, where an optimization problem
contains another optimization problem as a constraint. These problems have received …
contains another optimization problem as a constraint. These problems have received …
An overview of bilevel optimization
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 …
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
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 …
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 …
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 …
region of the so-called upper level problem is restricted by the graph of the solution set …
Bilevel and multilevel programming: A bibliography review
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 …
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 problems and mathematical programs with equilibrium constraints are …
Bilevel programming: A survey
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 …
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 …
particularly bi-level optimization problems (BOPs) has become an active research area …
A two-stage robust energy sharing management for prosumer microgrid
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 …
with renewable energy generation, multiple storage units, and load shifting. In the first stage …