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 …

Metaheuristics for bilevel optimization: A comprehensive review

JF Camacho-Vallejo, C Corpus, JG Villegas - Computers & Operations …, 2023 - Elsevier
A bilevel programming model represents the relationship in a specific decision process that
involves decisions within a hierarchical structure of two levels. The upper-level problem is …

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 …

An adaptive archive-based evolutionary framework for many-task optimization

Y Chen, J Zhong, L Feng… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Multi-task optimization is an emerging research topic in computational intelligence
community. In this paper, we propose a novel evolutionary framework, many-task …

Evolutionary algorithm for bilevel optimization using approximations of the lower level optimal solution mapping

A Sinha, P Malo, K Deb - European Journal of Operational Research, 2017 - Elsevier
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 …

Using Karush-Kuhn-Tucker proximity measure for solving bilevel optimization problems

A Sinha, T Soun, K Deb - Swarm and evolutionary computation, 2019 - Elsevier
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 …

Transfer learning-based parallel evolutionary algorithm framework for bilevel optimization

L Chen, HL Liu, KC Tan, K Li - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Evolutionary algorithms (EAs) have been recognized as a promising approach for bilevel
optimization. However, the population-based characteristic of EAs largely influences their …

A multi-modal competitive hub location pricing problem with customer loyalty and elastic demand

M Mahmoodjanloo, R Tavakkoli-Moghaddam… - Computers & operations …, 2020 - Elsevier
This paper develops a multi-modal competitive hub location pricing problem whose target is
the design of a transportation system for a company that plans to enter into a market with …

Evolutionary algorithm and multifactorial evolutionary algorithm on clustered shortest-path tree problem

PTH Hanh, PD Thanh, HTT Binh - Information Sciences, 2021 - Elsevier
Abstract In literature, Clustered Shortest-Path Tree Problem (CluSPT) is an NP-hard
problem. Previous studies focus on approximation algorithms which search for an optimal …

A surrogate assisted approach for single-objective bilevel optimization

MM Islam, HK Singh, T Ray - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Bilevel optimization refers to a hierarchical problem in which optimization needs to be
performed at two nested levels, namely the upper level and the lower level. The aim is to …