[HTML][HTML] A survey on mixed-integer programming techniques in bilevel optimization
Bilevel optimization is a field of mathematical programming in which some variables are
constrained to be the solution of another optimization problem. As a consequence, bilevel …
constrained to be the solution of another optimization problem. As a consequence, bilevel …
A survey of network interdiction models and algorithms
This paper discusses the development of interdiction optimization models and algorithms,
with an emphasis on mathematical programming techniques and future research challenges …
with an emphasis on mathematical programming techniques and future research challenges …
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 …
A new general-purpose algorithm for mixed-integer bilevel linear programs
Bilevel optimization problems are very challenging optimization models arising in many
important practical contexts, including pricing mechanisms in the energy sector, airline and …
important practical contexts, including pricing mechanisms in the energy sector, airline and …
Designing a resilient competitive supply chain network under disruption risks: A real-world application
We address an intra-supply chain competition where a producer and resellers competing to
achieve their goals, while taking into consideration the uncertainties and disruption risks. We …
achieve their goals, while taking into consideration the uncertainties and disruption risks. We …
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 …
The Problem in Power Grids: New Models, Formulations, and Numerical Experiments
D Bienstock, A Verma - SIAM Journal on Optimization, 2010 - SIAM
Given a power grid modeled by a network together with equations describing power flows,
power generation and consumption, the so-called Nk problem asks whether there exists a …
power generation and consumption, the so-called Nk problem asks whether there exists a …
An exact algorithm for the bilevel mixed integer linear programming problem under three simplifying assumptions
We present an exact algorithm for the bilevel mixed integer linear programming (BMILP)
problem under three simplifying assumptions. Although BMILP has been studied for …
problem under three simplifying assumptions. Although BMILP has been studied for …
A value-function-based exact approach for the bilevel mixed-integer programming problem
We examine bilevel mixed-integer programs whose constraints and objective functions
depend on both upper-and lower-level variables. The class of problems we consider allows …
depend on both upper-and lower-level variables. The class of problems we consider allows …