Hardness and approximation for network flow interdiction

SR Chestnut, R Zenklusen - Networks, 2017 - Wiley Online Library
In the Network Flow Interdiction problem, an adversary attacks a network in order to
minimize the maximum s‐t‐flow. Very little is known about the approximatibility of this …

Maximum shortest path interdiction problem by upgrading edges on trees under weighted norm

Q Zhang, X Guan, PM Pardalos - Journal of Global Optimization, 2021 - Springer
Network interdiction problems by deleting critical edges have wide applicatio ns. However,
in some practical applications, the goal of deleting edges is difficult to achieve. We consider …

Maximum shortest path interdiction problem by upgrading edges on trees under hamming distance

Q Zhang, X Guan, H Wang, PM Pardalos - Optimization Letters, 2021 - Springer
We consider the maximum shortest path interdiction problem by upgrading edges on trees
under Hamming distance (denoted by (MSPITH)), which has wide applications in …

Interdicting structured combinatorial optimization problems with {0, 1}-objectives

SR Chestnut, R Zenklusen - Mathematics of Operations …, 2017 - pubsonline.informs.org
Interdiction problems ask about the worst-case impact of a limited change to an underlying
optimization problem. They are a natural way to measure the robustness of a system or to …

Blockers for the stability number and the chromatic number

C Bazgan, C Bentz, C Picouleau, B Ries - Graphs and Combinatorics, 2015 - Springer
Given an undirected graph G=(V, E) and two positive integers k and d, we are interested in
finding a set of edges (resp. non-edges) of size at most k to delete (resp. to add) in such a …

Critical edges for the assignment problem: Complexity and exact resolution

C Bazgan, S Toubaline, D Vanderpooten - Operations Research Letters, 2013 - Elsevier
This paper investigates two problems related to the determination of critical edges for the
minimum cost assignment problem. Given a complete bipartite balanced graph with n …

Bound and exact methods for assessing link vulnerability in complex networks

TN Dinh, MT Thai, HT Nguyen - Journal of Combinatorial Optimization, 2014 - Springer
Assessing network systems for failures is critical to mitigate the risk and develop proactive
responses. In this paper, we investigate devastating consequences of link failures in …

An accelerating algorithm for maximum shortest path interdiction problem by upgrading edges on trees under unit Hamming distance

Y Lei, H Shao, T Wu, P Liu - Optimization Letters, 2023 - Springer
Abstract Zhang et al.(Optim. Lett. 15 (21): 2661–2680, 2021) investigated the maximum
shortest path interdiction problem by upgrading edges on trees under unit Hamming …

A large and natural Class of - and -complete Problems in Bilevel and Robust Optimization

C Grüne, L Wulf - arxiv preprint arxiv:2311.10540, 2023 - arxiv.org
Because $\Sigma^ p_2 $-and $\Sigma^ p_3 $-hardness proofs are usually tedious and
difficult, not so many complete problems for these classes are known. This is especially true …

On the hardness of covering-interdiction problems

N Fröhlich, S Ruzika - Theoretical Computer Science, 2021 - Elsevier
We investigate a two player scenario, in which a decision maker locates some facilities in a
network, while a second player, called the interdictor, may disrupt the infrastructure by …