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Profil

Fortz Bernard

HEC Liège : UER > UER Opérations : Optimization Methods in Management

HEC Liège Research: Business Analytics & Supply Chain Mgmt

See author's contact details
ORCID
0000-0002-2355-8926
Main Referenced Co-authors
De Boeck, Jérôme  (8)
Labbé, M. (7)
Gouveia, L. (5)
Poss, M. (5)
Brotcorne, L. (4)
Main Referenced Keywords
Network design (10); Benders decomposition (4); Combinatorial optimization (4); Branch-and-cut algorithm (3); Hop constraints (3);
Main Referenced Disciplines
Quantitative methods in economics & management (45)
Computer science (11)
Production, distribution & supply chain management (1)
Mathematics (1)

Publications (total 46)

The most downloaded
1074 downloads
Petropoulos, F., Laporte, G., Aktas, E., Alumur, S. A., Archetti, C., Ayhan, H., Battarra, M., Bennell, J. A., Bourjolly, J.-M., Boylan, J. E., Breton, M., Canca, D., Charlin, L., Chen, B., Cicek, C. T., Cox, L. A., Currie, C. S. M., Demeulemeester, E., Ding, L., ... Zhao, X. (2024). Operational Research: methods and applications. Journal of the Operational Research Society, 75 (3), 423-617. doi:10.1080/01605682.2023.2253852 https://hdl.handle.net/2268/310448

The most cited

923 citations (Scopus®)

Fortz, B., & Thorup, M. (2000). Internet traffic engineering by optimizing OSPF weights. In Proceedings IEEE INFOCOM 2000. conference on computer communications. IEEE. https://hdl.handle.net/2268/318433

Callebaut, H., De Boeck, J., & Fortz, B. (31 March 2025). Leveraging duality for the gamma-robust segment routing traffic engineering problem. Discrete Applied Mathematics, 364, 199 - 212. doi:10.1016/j.dam.2024.12.021
Peer Reviewed verified by ORBi

De Boeck, J., Fortz, B., Labbé, M., Marcotte, É., Marcotte, P., & Savard, G. (2025). Bidding in day-ahead electricity markets: A dynamic programming framework. Computers and Operations Research, 179, 107024. doi:10.1016/j.cor.2025.107024
Peer Reviewed verified by ORBi

Fortz, B. (10 October 2024). Robust optimization for the Segment Routing Traffic Engineering Problem [Paper presentation]. Treizième journée thématique du groupe de travail "Optimisation dans les réseaux" du GDR-ROD.

Aguayo, C., & Fortz, B. (July 2024). Unit Commitment problem with uncertain demand and renewable energy availability [Paper presentation]. 33rd European Conference on Operational Research (EURO 2024), Copenhague, Denmark.
Editorial reviewed

Fortz, B., Callebaut, H., & De Boeck, J. (July 2024). Robust optimization for the Segment Routing Traffic Engineering Problem [Paper presentation]. 25th International Symposium on Mathematical Programming (ISMP2024), Montréal, Canada.
Editorial reviewed

Fortz, B., Mycek, M., Pióro, M., & Tomaszewski, A. (March 2024). Min–max optimization of node‐targeted attacks in service networks. Networks, 83 (2), 256-288. doi:10.1002/net.22191
Peer Reviewed verified by ORBi

Escalona, P., Brotcorne, L., Fortz, B., & Ramirez, M. (2024). Fare inspection patrolling under in-station selective inspection policy. Annals of Operations Research, 191–212. doi:10.1007/s10479-023-05670-2
Peer Reviewed verified by ORBi

Escalona, P., Angulo, A., Brotcorne, L., Fortz, B., & Tapia, P. (January 2024). Fill-rate service level constrained distribution network design. International Transactions in Operational Research, 31 (1), 5-28. doi:10.1111/itor.13331
Peer Reviewed verified by ORBi

Callebaut, H., De Boeck, J., & Fortz, B. (2024). Robust optimization for the Segment Routing Traffic Engineering Problem [Paper presentation]. International Network Optimization Conference (INOC) 2024, Dublin, Ireland.
Peer reviewed

Fortz, B., & Stiepen, A. (2024). Des mathématiques appliquées dans la gestion et l’optimisation. Liège, Belgium: HEC Liège.

Petropoulos, F., Laporte, G., Aktas, E., Alumur, S. A., Archetti, C., Ayhan, H., Battarra, M., Bennell, J. A., Bourjolly, J.-M., Boylan, J. E., Breton, M., Canca, D., Charlin, L., Chen, B., Cicek, C. T., Cox, L. A., Currie, C. S. M., Demeulemeester, E., Ding, L., ... Zhao, X. (2024). Operational Research: methods and applications. Journal of the Operational Research Society, 75 (3), 423-617. doi:10.1080/01605682.2023.2253852
Peer Reviewed verified by ORBi

Fortz, B., Gendron, B., & Gouveia, L. (2024). Models for Network Flow and Network Design Problems with Piecewise Linear Costs. In International Series in Operations Research and Management Science (pp. 149–161). Springer. doi:10.1007/978-3-031-57603-4_7
Editorial reviewed

Smith, A. E., Vera, J. R., & Fortz, B. (Eds.). (2023). Proceedings of the 23rd International Conference of the International Federation of Operational Research Societies. International Federation of Operational Research Societies. doi:10.1287/ifors.2023

De Boeck, J., Fortz, B., & Schmid, S. (2023). The Case for Stochastic Online Segment Routing under Demand Uncertainty. In 2023 IFIP Networking Conference (IFIP Networking). United States: IEEE. doi:10.23919/IFIPNetworking57963.2023.10186361
Peer reviewed

Sangaré, M., Bourreau, E., Fortz, B., Pachurka, A., & Poss, M. (2023). Loads scheduling for demand response in energy communities. Computers and Operations Research, 160. doi:10.1016/j.cor.2023.106358
Peer Reviewed verified by ORBi

Callebaut, H., De Boeck, J., & Fortz, B. (2023). Preprocessing for segment routing optimization. Networks, 82 (4), 459-478. doi:10.1002/net.22165
Peer Reviewed verified by ORBi

De Boeck, J., Brotcorne, L., & Fortz, B. (2022). Strategic bidding in price coupled regions. Mathematical Methods of Operations Research, 95 (3), 365-407. doi:10.1007/s00186-021-00768-4
Peer Reviewed verified by ORBi

Laurent, A., Brotcorne, L., & Fortz, B. (2022). Transaction fees optimization in the Ethereum blockchain. Blockchain: Research and Applications, 3 (3). doi:10.1016/j.bcra.2022.100074
Peer reviewed

Bucarey, V., Fortz, B., González-Blanco, N., Labbé, M., & Mesa, J. A. (2022). Benders decomposition for network design covering problems. Computers and Operations Research, 137. doi:10.1016/j.cor.2021.105417
Peer Reviewed verified by ORBi

Fortz, B., Gouveia, L., & Moura, P. (2022). A comparison of node-based and arc-based hop-indexed formulations for the Steiner tree problem with hop constraints. Networks, 80 (2), 178-192. doi:10.1002/net.22086
Peer Reviewed verified by ORBi

Fortz, B. (2021). Topology-Constrained Network Design. In T. G. Crainic, M. Gendreau, ... B. Gendron, Network design with applications to transportation and logistics (pp. 187-208). Springer Cham. doi:10.1007/978-3-030-64018-7_7
Editorial reviewed

Brotcorne, L., Escalona, P., Fortz, B., & Labbé, M. (2021). Fare inspection patrols scheduling in transit systems using a Stackelberg game approach. Transportation Research. Part B, Methodological, 154, 1-20. doi:10.1016/j.trb.2021.10.001
Peer Reviewed verified by ORBi

Porretta, L., Catanzaro, D., Halldórsson, B. V., & Fortz, B. (2019). A Branch & Price algorithm for the minimum cost clique cover problem in max-point tolerance graphs. 4OR: A Quarterly Journal of Operations Research, 17 (1), 75-96. doi:10.1007/s10288-018-0377-3
Peer Reviewed verified by ORBi

Casorrán, C., Fortz, B., Labbé, M., & Ordóñez, F. (2019). A study of general and security Stackelberg game formulations. European Journal of Operational Research, 278 (3), 855-868. doi:10.1016/j.ejor.2019.05.012
Peer Reviewed verified by ORBi

Çalık, H., & Fortz, B. (2019). A Benders decomposition method for locating stations in a one-way electric car sharing system under demand uncertainty. Transportation Research. Part B, Methodological, 125, 121-150. doi:10.1016/j.trb.2019.05.004
Peer Reviewed verified by ORBi

Botton, Q., Fortz, B., & Gouveia, L. (2018). The 2 edge-disjoint 3-paths polyhedron. Annals of Telecommunications, 73 (1-2), 29-36. doi:10.1007/s12243-017-0615-2
Peer Reviewed verified by ORBi

De Boeck, J., & Fortz, B. (2018). Extended formulation for hop constrained distribution network configuration problems. European Journal of Operational Research, 265 (2), 488-502. doi:10.1016/j.ejor.2017.08.017
Peer Reviewed verified by ORBi

Carroll, P., Flynn, D., Fortz, B., & Melhorn, A. (2017). Sub-hour unit commitment MILP model with benchmark problem instances. In Computational Science and Its Applications – ICCSA 2017. Cham, Unknown/unspecified: Springer International Publishing. doi:10.1007/978-3-319-62395-5_44
Peer reviewed

Fortz, B., Oliveira, O., & Requejo, C. (2017). Compact mixed integer linear programming models to the minimum weighted tree reconstruction problem. European Journal of Operational Research, 256 (1), 242-251. doi:10.1016/j.ejor.2016.06.014
Peer Reviewed verified by ORBi

Fortz, B., Gorgone, E., & Papadimitriou, D. (2017). A Lagrangian heuristic algorithm for the time-dependent combined network design and routing problem. Networks, 69 (1), 110-123. doi:10.1002/net.21721
Peer Reviewed verified by ORBi

Fortz, B., Gouveia, L., & Joyce-Moniz, M. (2017). Models for the piecewise linear unsplittable multicommodity flow problems. European Journal of Operational Research, 261 (1), 30-42. doi:10.1016/j.ejor.2017.01.051
Peer Reviewed verified by ORBi

Botton, Q., Fortz, B., & Gouveia, L. (2015). On the hop-constrained survivable network design problem with reliable edges. Computers and Operations Research, 64, 159-167. doi:10.1016/j.cor.2015.05.009
Peer Reviewed verified by ORBi

Fortz, B., Labbé, M., Louveaux, F., & Poss, M. (2013). Stochastic binary problems with simple penalties for capacity constraints violations. Mathematical Programming, 138 (1-2), 199-221. doi:10.1007/s10107-012-0520-4
Peer Reviewed verified by ORBi

Botton, Q., Fortz, B., Gouveia, L., & Poss, M. (2013). Benders decomposition for the hop-constrained survivable network design problem. INFORMS Journal on Computing, 25 (1), 13-26. doi:10.1287/ijoc.1110.0472
Peer Reviewed verified by ORBi

Fortz, B. (2011). Applications of meta-heuristics to traffic engineering in IP networks. International Transactions in Operational Research, 18 (2), 131-147. doi:10.1111/j.1475-3995.2010.00776.x
Peer Reviewed verified by ORBi

Fortz, B., & Poss, M. (2010). Easy distributions for combinatorial optimization problems with probabilistic constraints. Operations Research Letters, 38 (6), 545-549. doi:10.1016/j.orl.2010.09.005
Peer Reviewed verified by ORBi

Fortz, B., & Poss, M. (2009). An improved Benders decomposition applied to a multi-layer network design problem. Operations Research Letters, 37 (5), 359-364. doi:10.1016/j.orl.2009.05.007
Peer Reviewed verified by ORBi

Fortz, B., Mahjoub, A. R., McCormick, S. T., & Pesneau, P. (2006). Two-edge connected subgraphs with bounded rings: Polyhedral results and Branch-and-Cut. Mathematical Programming, 105 (1), 85-111. doi:10.1007/s10107-005-0576-5
Peer Reviewed verified by ORBi

Fortz, B., & Thorup, M. (2004). Increasing internet capacity using local search. Computational Optimization and Applications, 29 (1), 13-48. doi:10.1023/B:COAP.0000039487.35027.02
Peer Reviewed verified by ORBi

Fortz, B., & Labbé, M. (2004). Two-Connected Networks with Rings of Bounded Cardinality. Computational Optimization and Applications, 27 (2), 123-148. doi:10.1023/B:COAP.0000008649.61438.6b
Peer Reviewed verified by ORBi

Fortz, B., Soriano, P., & Wynants, C. (2003). A tabu search algorithm for self-healing ring network design. European Journal of Operational Research, 151 (2), 280-295. doi:10.1016/S0377-2217(02)00826-3
Peer Reviewed verified by ORBi

Fortz, B., & Labbé, M. (2002). Polyhedral results for two-connected networks with bounded rings. Mathematical Programming, 93 (1), 27-54. doi:10.1007/s10107-002-0299-9
Peer Reviewed verified by ORBi

Fortz, B., & Thorup, M. (2002). Optimizing OSPF/IS-IS weights in a changing world. IEEE Journal on Selected Areas In Communications, 20 (4), 756-767. doi:10.1109/JSAC.2002.1003042
Peer Reviewed verified by ORBi

Fortz, B., Rexford, J., & Thorup, M. (2002). Traffic engineering with traditional IP routing protocols. IEEE Communications Magazine, 40 (10), 118-124. doi:10.1109/MCOM.2002.1039866
Peer Reviewed verified by ORBi

Fortz, B., Labbé, M., & Maffioli, F. (2000). Solving the two-connected network with bounded meshes problem. Operations Research, 48 (6), 866-877. doi:10.1287/opre.48.6.866.12390
Peer Reviewed verified by ORBi

Fortz, B., & Thorup, M. (2000). Internet traffic engineering by optimizing OSPF weights. In Proceedings IEEE INFOCOM 2000. conference on computer communications. IEEE.
Peer reviewed

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