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A review on bilevel optimization: From classical to evolutionary approaches and applications
Bilevel optimization is defined as a mathematical program, where an optimization problem
contains another optimization problem as a constraint. These problems have received …
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 …
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
While Stackelberg leader–follower games and bilevel programming have become
increasingly prevalent in game-theoretic modeling and optimization of decentralized supply …
increasingly prevalent in game-theoretic modeling and optimization of decentralized supply …
Cooperative coevolution with knowledge-based dynamic variable decomposition for bilevel multiobjective optimization
Many practical multiobjective optimization problems have a nested bilevel structure in
variables, which can be modeled as bilevel multiobjective optimization problems (BLMOPs) …
variables, which can be modeled as bilevel multiobjective optimization problems (BLMOPs) …
A bi-level programming model for the optimal lane reservation problem
This paper studies a discontinuous lane reservation problem considering the
heterogeneous traffic demand containing both vehicles with general purposes and vehicles …
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
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 …
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
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 …
preferences which includes an additional constraint on the number of customers which can …
An enhanced branch-and-bound algorithm for bilevel integer linear programming
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 …
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
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 …
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
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 …
have preference order on the sites where the plants can be located. The goal is to find the …