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 …

Bilevel programming problems

S Dempe, V Kalashnikov, GA Pérez-Valdés… - Energy Systems …, 2015 - Springer
Bilevel optimization is a vital field of active research. Depending on its formulation it is part of
nonsmooth or nondifferentiable optimization, conic programming, optimization with …

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 …

[LIBRO][B] Bilevel optimization: theory, algorithms and applications

S Dempe - 2018 - optimization-online.org
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 …

Linearly constrained bilevel optimization: A smoothed implicit gradient approach

P Khanduri, I Tsaknakis, Y Zhang… - International …, 2023 - proceedings.mlr.press
This work develops analysis and algorithms for solving a class of bilevel optimization
problems where the lower-level (LL) problems have linear constraints. Most of the existing …

Solving the bilevel facility location problem under preferences by a Stackelberg‐evolutionary algorithm

JF Camacho-Vallejo… - Mathematical …, 2014 - Wiley Online Library
This research highlights the use of game theory to solve the classical problem of the
uncapacitated facility location optimization model with customer order preferences through a …

An implicit gradient-type method for linearly constrained bilevel problems

I Tsaknakis, P Khanduri, M Hong - ICASSP 2022-2022 IEEE …, 2022 - ieeexplore.ieee.org
In this work, we develop an implicit gradient-type (IG-AL) algorithm for bilevel optimization
with strongly convex linear inequality constrained lower-level problems. Many learning …

Regulating the rebound effect in the traveling purchaser problem

WN Caballero, BJ Lunday, F Meissner - European Journal of Operational …, 2024 - Elsevier
Despite engineers' best intentions, technological innovations intended to reduce resource
consumption are not assured to achieve their desired effects. As self-interested agents …

A heuristic algorithm solving bilevel toll optimization problems

VV Kalashnikov, RC Herrera Maldonado… - … International Journal of …, 2016 - emerald.com
Purpose–One of the most important problems concerning the toll roads is the setting of an
appropriate cost for traveling through private arcs of a transportation network. The purpose …

A surrogate-assisted metaheuristic for bilevel optimization

JA Mejía-de-Dios, E Mezura-Montes - Proceedings of the 2020 genetic …, 2020 - dl.acm.org
A Bilevel Optimization Problem (BOP) is related to two optimization problems in a
hierarchical structure. A BOP is solved when an optimum of the upper level problem is …