[HTML][HTML] A survey on mixed-integer programming techniques in bilevel optimization

T Kleinert, M Labbé, I Ljubić, M Schmidt - EURO Journal on Computational …, 2021 - Elsevier
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 …

A survey of network interdiction models and algorithms

JC Smith, Y Song - European Journal of Operational Research, 2020 - Elsevier
This paper discusses the development of interdiction optimization models and algorithms,
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 …

A new general-purpose algorithm for mixed-integer bilevel linear programs

M Fischetti, I Ljubić, M Monaci… - Operations …, 2017 - pubsonline.informs.org
Bilevel optimization problems are very challenging optimization models arising in many
important practical contexts, including pricing mechanisms in the energy sector, airline and …

[图书][B] Fundamentals of supply chain theory

LV Snyder, ZJM Shen - 2019 - books.google.com
Comprehensively teaches the fundamentals of supply chain theory This book presents the
methodology and foundations of supply chain management and also demonstrates how …

Designing a resilient competitive supply chain network under disruption risks: A real-world application

A Ghavamifar, A Makui, AA Taleizadeh - Transportation research part E …, 2018 - Elsevier
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 …

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 …

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 …

An exact algorithm for the bilevel mixed integer linear programming problem under three simplifying assumptions

P Xu, L Wang - Computers & operations research, 2014 - Elsevier
We present an exact algorithm for the bilevel mixed integer linear programming (BMILP)
problem under three simplifying assumptions. Although BMILP has been studied for …

A value-function-based exact approach for the bilevel mixed-integer programming problem

L Lozano, JC Smith - Operations Research, 2017 - pubsonline.informs.org
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 …