[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 …
[HTML][HTML] A hybrid modified-NSGA-II VNS algorithm for the Multi-Objective Critical Disruption Path Problem
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 …
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
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 …
min–max optimization problem. This problem involves two players, a leader and a follower …
The maximum clique interdiction problem
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 …
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
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 …
(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
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 …
whose deletion results in the maximum deterioration of the graph's connectivity. The …
Integer programming methods for solving binary interdiction games
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 …
both the leader and follower are characterized by two discrete sets denoted the leader's …
Integer programming formulations for minimum spanning tree interdiction
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 …
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
Many discrete optimization problems are amenable to constrained shortest-path
reformulations in an extended network space, a technique that has been key in …
reformulations in an extended network space, a technique that has been key in …