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Solving bilevel multi-criterion optimization problems with lower level decision uncertainty
(IEEE, 2016)
Bilevel optimization problems are characterized by a hierarchical leader-follower structure, where the leader desires to optimize her own strategy taking the response of the follower into account. These problems are referred ...
Approximated set-valued mapping approach for handling multiobjective bilevel problems
(Elsevier Ltd, 2017)
A significant amount of research has been done on bilevel optimization problems both in the realm of classical and evolutionary optimization. However, the multiobjective extensions of bilevel programming have received ...
Evolutionary algorithm for bilevel optimization using approximations of the lower level optimal solution mapping
(Elsevier B.V., 2017)
Bilevel optimization problems are a class of challenging optimization problems, which contain two levels of optimization tasks. In these problems, the optimal solutions to the lower level problem become possible feasible ...
A review on bilevel optimization: from classical to evolutionary approaches and applications
(IEEE, 2018)
Bilevel optimization is defined as a mathematical
program, where an optimization problem contains another optimization
problem as a constraint. These problems have received
significant attention from the mathematical ...
An enhanced memetic algorithm for single-objective bilevel optimization problems
(MIT, 2017)
Bilevel optimization, as the name reflects, deals with optimization at two interconnected
hierarchical levels. The aim is to identify the optimum of an upper-level leader prob-
lem, subject to the optimality of a ...
Uncertainty handling in bilevel optimization for robust and reliable solutions
(World Scientific, 2018)
Uncertainties in variables and parameters cause optimization problems to move away from globally-optimal and uncertain solutions. Practitioners resort to finding robust and reliable solutions in such situations. Bilevel ...
Using Karush-Kuhn-Tucker proximity measure for solving bilevel optimization problems
(ScienceDirecrt, 2019-02)
A common technique to solve bilevel optimization problems is by reducing the problem to a single level and then solving it as a standard optimization problem. A number of single level reduction formulations exist, but one ...
Solving bilevel optimization problems using Kriging approximations
(IEEE, 2021-03-21)
Bilevel optimization involves two levels of optimization, where one optimization problem is nested within the other. The structure of the problem often requires solving a large number of inner optimization problems that ...