Design of survivable networks: A survey

H Kerivin, AR Mahjoub - Networks: An International Journal, 2005 - Wiley Online Library
For the past few decades, combinatorial optimization techniques have been shown to be
powerful tools for formulating and solving optimization problems arising from practical …

Benders decomposition for the hop-constrained survivable network design problem

Q Botton, B Fortz, L Gouveia… - INFORMS journal on …, 2013 - pubsonline.informs.org
Given a graph with nonnegative edge weights and node pairs Q, we study the problem of
constructing a minimum weight set of edges so that the induced subgraph contains at least K …

The two‐edge connected hop‐constrained network design problem: Valid inequalities and branch‐and‐cut

D Huygens, M Labbé, AR Mahjoub… - Networks: An …, 2007 - Wiley Online Library
This article deals with the Two‐edge connected Hop‐constrained Network Design Problem
(or THNDP for short). Given a weighted graph G=(N, E), an integer L≥ 2, and a subset of …

Extended formulations and branch-and-cut algorithms for the black-and-white traveling salesman problem

L Gouveia, M Leitner, M Ruthmair - European Journal of Operational …, 2017 - Elsevier
In this paper we study Integer Linear Programming models and develop branch-and-cut
algorithms to solve the Black-and-White Traveling Salesman Problem (BWTSP)(Bourgeois …

Optimization algorithms for the k edge-connected L-hop-constrained network design problem

I Diarrassouba, AR Mahjoub, IM Almudahka - Soft Computing, 2024 - Springer
In this paper, we study the k edge-connected L-hop-constrained network design problem.
Given a weighted graph G=(V, E), a set D of pairs of nodes, two integers L≥ 2 and k≥ 2, the …

Max flow and min cut with bounded-length paths: complexity, algorithms, and approximation

AR Mahjoub, ST McCormick - Mathematical programming, 2010 - Springer
We consider the “flow on paths” versions of Max Flow and Min Cut when we restrict to paths
having at most B arcs, and for versions where we allow fractional solutions or require …

Two-edge connectivity with disjunctive constraints: Polyhedral analysis and Branch-and-Cut

I Almudahka, I Diarrassouba, AR Mahjoub… - Computers & Industrial …, 2023 - Elsevier
In this paper we consider the two-edge-connected subgraph problem with disjunctive
constraints. We investigate the convex hull of the solutions to this problem. We describe …

Hop-constrained node survivable network design: An application to MPLS over WDM

L Gouveia, P Patrício, A de Sousa - Networks and Spatial Economics, 2008 - Springer
In this paper, we address a hop-constrained node survivable network design problem that is
defined in the context of multi-protocol label switching (MPLS) over wavelength division …

On the k edge-disjoint 2-hop-constrained paths polytope

G Dahl, D Huygens, AR Mahjoub, P Pesneau - Operations research letters, 2006 - Elsevier
The k edge-disjoint 2-hop-constrained paths problem consists in finding a minimum cost
subgraph such that between two given nodes s and t there exist at least k edge-disjoint …

Integer programming formulations for the k‐edge‐connected 3‐hop‐constrained network design problem

I Diarrassouba, V Gabrel, AR Mahjoub, L Gouveia… - …, 2016 - Wiley Online Library
In this article, we study the k‐edge‐connected L‐hop‐constrained network design problem.
Given a weighted graph, a set D of pairs of nodes, two integers and, the problem consists in …