[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 …

[HTML][HTML] A hybrid modified-NSGA-II VNS algorithm for the Multi-Objective Critical Disruption Path Problem

D Granata, A Sgalambro - Computers & Operations Research, 2023 - Elsevier
This paper considers a Multiple Objective variant of the Critical Disruption Path problem to
extend its suitability in a range of security operations relying on path-based network …

A class of algorithms for mixed-integer bilevel min–max optimization

Y Tang, JPP Richard, JC Smith - Journal of Global Optimization, 2016 - Springer
In this paper, we introduce a new class of algorithms for solving the mixed-integer bilevel
min–max optimization problem. This problem involves two players, a leader and a follower …

The maximum clique interdiction problem

F Furini, I Ljubić, S Martin, P San Segundo - European Journal of …, 2019 - Elsevier
Given a graph G and an interdiction budget k, the Maximum Clique Interdiction Problem
asks to find a subset of at most k vertices to remove from G so that the size of the maximum …

A branch-and-cut algorithm for the edge interdiction clique problem

F Furini, I Ljubić, P San Segundo, Y Zhao - European Journal of …, 2021 - Elsevier
Given a graph G and an interdiction budget k∈ N, the Edge Interdiction Clique Problem
(EICP) asks to find a subset of at most k edges to remove from G so that the size of the …

Detecting critical node structures on graphs: A mathematical programming approach

JL Walteros, A Veremyev, PM Pardalos, EL Pasiliao - Networks, 2019 - Wiley Online Library
We consider the problem of detecting a collection of critical node structures of a graph
whose deletion results in the maximum deterioration of the graph's connectivity. The …

Integer programming methods for solving binary interdiction games

N Wei, JL Walteros - European Journal of Operational Research, 2022 - Elsevier
This paper studies a general class of interdiction problems in which the solution space of
both the leader and follower are characterized by two discrete sets denoted the leader's …

Integer programming formulations for minimum spanning tree interdiction

N Wei, JL Walteros, FM Pajouh - INFORMS Journal on …, 2021 - pubsonline.informs.org
We consider a two-player interdiction problem staged over a graph where the attacker's
objective is to minimize the cost of removing edges from the graph so that the defender's …

Constrained shortest-path reformulations for discrete bilevel and robust optimization

L Lozano, D Bergman, AA Cire - arxiv preprint arxiv:2206.12962, 2022 - arxiv.org
Many discrete optimization problems are amenable to constrained shortest-path
reformulations in an extended network space, a technique that has been key in …