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Multicommodity flow models for spanning trees with hop constraints

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  • Gouveia, Luis

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  • Gouveia, Luis, 1996. "Multicommodity flow models for spanning trees with hop constraints," European Journal of Operational Research, Elsevier, vol. 95(1), pages 178-190, November.
    • Handle: RePEc:eee:ejores:v:95:y:1996:i:1:p:178-190
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    1. Anantaram Balakrishnan & Thomas L. Magnanti & Prakash Mirchandani, 1994. "Modeling and Heuristic Worst-Case Performance Analysis of the Two-Level Network Design Problem," Management Science, INFORMS, vol. 40(7), pages 846-867, July.
    2. Matteo Fischetti & Paolo Toth, 1993. "An Efficient Algorithm for the Min-Sum Arborescence Problem on Complete Digraphs," INFORMS Journal on Computing, INFORMS, vol. 5(4), pages 426-434, November.
    3. A. Balakrishnan & T. L. Magnanti & R. T. Wong, 1989. "A Dual-Ascent Procedure for Large-Scale Uncapacitated Network Design," Operations Research, INFORMS, vol. 37(5), pages 716-740, October.
    4. Anantaram Balakrishnan & Kemal Altinkemer, 1992. "Using a Hop-Constrained Model to Generate Alternative Communication Network Design," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 192-205, May.
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    Cited by:

    1. Konak, Abdullah, 2012. "Network design problem with relays: A genetic algorithm with a path-based crossover and a set covering formulation," European Journal of Operational Research, Elsevier, vol. 218(3), pages 829-837.
    2. Fortz, Bernard & Oliveira, Olga & Requejo, Cristina, 2017. "Compact mixed integer linear programming models to the minimum weighted tree reconstruction problem," European Journal of Operational Research, Elsevier, vol. 256(1), pages 242-251.
    3. Pinto, Leizer Lima & Laporte, Gilbert, 2010. "An efficient algorithm for the Steiner Tree Problem with revenue, bottleneck and hop objective functions," European Journal of Operational Research, Elsevier, vol. 207(1), pages 45-49, November.
    4. Uchoa, Eduardo & Pecin, Diego & Pessoa, Artur & Poggi, Marcus & Vidal, Thibaut & Subramanian, Anand, 2017. "New benchmark instances for the Capacitated Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 257(3), pages 845-858.
    5. Okan Arslan & Ola Jabali & Gilbert Laporte, 2020. "A Flexible, Natural Formulation for the Network Design Problem with Vulnerability Constraints," INFORMS Journal on Computing, INFORMS, vol. 32(1), pages 120-134, January.
    6. Gouveia, Luis & Janssen, Eric, 1998. "Designing reliable tree networks with two cable technologies," European Journal of Operational Research, Elsevier, vol. 105(3), pages 552-568, March.
    7. Fernandes, Lucinda Matos & Gouveia, Luis, 1998. "Minimal spanning trees with a constraint on the number of leaves," European Journal of Operational Research, Elsevier, vol. 104(1), pages 250-261, January.
    8. Seyed Babak Ebrahimi & Ehsan Bagheri, 2022. "A multi-objective formulation for the closed-loop plastic supply chain under uncertainty," Operational Research, Springer, vol. 22(5), pages 4725-4768, November.
    9. Costa, Alysson M. & Cordeau, Jean-François & Laporte, Gilbert, 2008. "Fast heuristics for the Steiner tree problem with revenues, budget and hop constraints," European Journal of Operational Research, Elsevier, vol. 190(1), pages 68-78, October.
    10. Luis Gouveia, 1998. "Using Variable Redefinition for Computing Lower Bounds for Minimum Spanning and Steiner Trees with Hop Constraints," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 180-188, May.
    11. Khodakaram Salimifard & Sara Bigharaz, 2022. "The multicommodity network flow problem: state of the art classification, applications, and solution methods," Operational Research, Springer, vol. 22(1), pages 1-47, March.
    12. Gouveia, Luis & Requejo, Cristina, 2001. "A new Lagrangean relaxation approach for the hop-constrained minimum spanning tree problem," European Journal of Operational Research, Elsevier, vol. 132(3), pages 539-552, August.
    13. Ivana Ljubić & Stefan Gollowitzer, 2013. "Layered Graph Approaches to the Hop Constrained Connected Facility Location Problem," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 256-270, May.
    14. Quentin Botton & Bernard Fortz & Luis Gouveia & Michael Poss, 2013. "Benders Decomposition for the Hop-Constrained Survivable Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 13-26, February.
    15. Iago A. Carvalho & Amadeu A. Coco, 2023. "On solving bi-objective constrained minimum spanning tree problems," Journal of Global Optimization, Springer, vol. 87(1), pages 301-323, September.
    16. Scheibe, Kevin P. & Ragsdale, Cliff T., 2009. "A model for the capacitated, hop-constrained, per-packet wireless mesh network design problem," European Journal of Operational Research, Elsevier, vol. 197(2), pages 773-784, September.
    17. Akgün, Ibrahim & Tansel, Barbaros Ç., 2011. "New formulations of the Hop-Constrained Minimum Spanning Tree problem via Miller-Tucker-Zemlin constraints," European Journal of Operational Research, Elsevier, vol. 212(2), pages 263-276, July.
    18. Hui Chen & Ann Melissa Campbell & Barrett W. Thomas, 2008. "Network design for time‐constrained delivery," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(6), pages 493-515, September.
    19. BOTTON, Quentin & FORTZ, Bernard & GOUVEIA, Luis & POSS, Michael, 2011. "Benders decomposition for the hop-constrained survivable network design problem," LIDAM Discussion Papers CORE 2011037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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