Metaheuristics for bilevel optimization: A comprehensive review

JF Camacho-Vallejo, C Corpus, JG Villegas - Computers & Operations …, 2024 - 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 …

Continuous versions of firefly algorithm: a review

SL Tilahun, JMT Ngnotchouye… - Artificial Intelligence …, 2019 - Springer
Firefly algorithm is a swarm based metaheuristic algorithm designed for continuous
optimization problems. It works by following better solutions and also with a random search …

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 …

Firefly algorithm for discrete optimization problems: A survey

SL Tilahun, JMT Ngnotchouye - KSCE Journal of civil Engineering, 2017 - Springer
Firefly algorithm is a nature-inspired metaheuristic algorithm inspired by the flashing
behavior of fireflies. It is originally proposed for continuous problems. However, due to its …

A review of task scheduling in cloud computing based on nature-inspired optimization algorithm

FS Prity, MH Gazi, KMA Uddin - Cluster computing, 2023 - Springer
The advent of the cloud computing paradigm allowed multiple organizations to move,
compute, and host their applications in the cloud environment, enabling seamless access to …

A review and comparative study of firefly algorithm and its modified versions

WA Khan, NN Hamadneh, SL Tilahun… - Optimization …, 2016 - books.google.com
Firefly algorithm is one of the well-known swarm-based algorithms which gained popularity
within a short time and has different applications. It is easy to understand and implement …

A multiscale consensus-based algorithm for multi-level optimization

M Herty, Y Huang, D Kalise, H Kouhkouh - arXiv preprint arXiv …, 2024 - arxiv.org
A novel multiscale consensus-based optimization (CBO) algorithm for solving bi-and tri-level
optimization problems is introduced. Existing CBO techniques are generalized by the …

A gradient method for multilevel optimization

R Sato, M Tanaka, A Takeda - Advances in Neural …, 2021 - proceedings.neurips.cc
Although application examples of multilevel optimization have already been discussed since
the 1990s, the development of solution methods was almost limited to bilevel cases due to …

Monte carlo optimization for solving multilevel stackelberg games

P Koirala, F Laine - arXiv preprint arXiv:2312.03282, 2023 - arxiv.org
Stackelberg games originate where there are market leaders and followers, and the actions
of leaders influence the behavior of the followers. Mathematical modelling of such games …

A branch-and-bound multi-parametric programming approach for non-convex multilevel optimization with polyhedral constraints

AM Kassa, SM Kassa - Journal of Global Optimization, 2016 - Springer
In this paper we develop a general but smooth global optimization strategy for nonlinear
multilevel programming problems with polyhedral constraints. At each decision level …