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 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 …

Stackelberg-game-based modeling and optimization for supply chain design and operations: A mixed integer bilevel programming framework

D Yue, F You - Computers & Chemical Engineering, 2017 - Elsevier
While Stackelberg leader–follower games and bilevel programming have become
increasingly prevalent in game-theoretic modeling and optimization of decentralized supply …

Cooperative coevolution with knowledge-based dynamic variable decomposition for bilevel multiobjective optimization

X Cai, Q Sun, Z Li, Y **ao, Y Mei… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Many practical multiobjective optimization problems have a nested bilevel structure in
variables, which can be modeled as bilevel multiobjective optimization problems (BLMOPs) …

A bi-level programming model for the optimal lane reservation problem

Q Cheng, Y Chen, Z Liu - Expert Systems with Applications, 2022 - Elsevier
This paper studies a discontinuous lane reservation problem considering the
heterogeneous traffic demand containing both vehicles with general purposes and vehicles …

A multi-parametric optimization approach for bilevel mixed-integer linear and quadratic programming problems

S Avraamidou, EN Pistikopoulos - Computers & Chemical Engineering, 2019 - Elsevier
Optimization problems involving two decision makers at two different decision levels are
referred to as bi-level programming problems. In this work, we present novel algorithms for …

A matheuristic for solving the bilevel approach of the facility location problem with cardinality constraints and preferences

HI Calvete, C Galé, JA Iranzo… - Computers & Operations …, 2020 - Elsevier
This paper addresses a generalized version of the facility location problem with customer
preferences which includes an additional constraint on the number of customers which can …

An enhanced branch-and-bound algorithm for bilevel integer linear programming

S Liu, M Wang, N Kong, X Hu - European Journal of Operational Research, 2021 - Elsevier
Bilevel integer linear programming (BILP) problems have been studied for decades. Many
exact algorithms have been proposed in recent years for small-or medium-sized instances …

Approximating solutions to a bilevel capacitated facility location problem with customer's patronization toward a list of preferences

MS Casas-Ramírez, JF Camacho-Vallejo… - Applied Mathematics …, 2018 - Elsevier
This paper presents a bilevel capacitated facility location problem where customers are
allocated to the facilities they patronize based on a predetermined list of preferences. The …

[HTML][HTML] Intra-facility equity in discrete and continuous p-facility location problems

V Blanco, A Marín, J Puerto - Computers & Operations Research, 2024 - Elsevier
We consider facility location problems with a new form of equity criterion. Demand points
have preference order on the sites where the plants can be located. The goal is to find the …