Browsing by Subject "Bilevel optimization"
Now showing items 1-16 of 16
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A Review on Bilevel Optimization: From Classical to Evolutionary Approaches and Applications
(Institute of Electrical and Electronics Engineers Inc., 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 Press Journals, 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 problem, subject to the optimality of a lower-level ... -
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 ... -
Bilevel optimization based on iterative approximation of multiple mappings
(Journal of Heuristics, 2020)A large number of application problems involve two levels of optimization, where one optimization task is nested inside the other. These problems are known as bilevel optimization problems and have been studied by both ... -
A bilevel optimization formulation for the setting of minimum required maintenance margins in stock exchanges
(Indian Institute of Management Ahmedabad, 2020)This report addresses a hierarchical margin setting decision problem. There are two decision makers, namely, the stock exchange and the investor. The stock exchange, which is the leader in the hierarchical process, controls ... -
Bilevel optimization: applications, models and solution approaches
(Indian Institute of Management Ahmedabad, 2022-05-17)Bilevel optimization is a difficult class of optimization problems, which contain an inner optimization problem as a constraint to an outer optimization problem. Such optimization problems are commonly referred to as ... -
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 ... -
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 gradient-based bilevel optimization approach for tuning regularization hyperparameters
(Springer, 2023-09-29)Hyperparameter tuning in the area of machine learning is often achieved using naive techniques, such as random search and grid search. However, most of these methods seldom lead to an optimal set of hyperparameters and ... -
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 ... -
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 ... -
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 ... -
Solving optimistic bi level programs by iteratively approximating lower level optimal value function
(IEEE Congress on Evolutionary Computation (CEC), 2016-07)Bilevel optimization is a nested optimization problem that contains one optimization task as a constraint to another optimization task. Owing to enormous applications that are bilevel in nature, these problems have received ... -
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 ... -
When Nash meets Stackelberg
(INFORMS, 2023-12-22)This article introduces a class of Nash games among Stackelberg players (NASPs), namely, a class of simultaneous noncooperative games where the players solve sequential Stackelberg games. Specifically, each player solves ...