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Benders, metric and cutset inequalities for multicommodity capacitated network design

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  • Alysson Costa
  • Jean-François Cordeau
  • Bernard Gendron

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  • Alysson Costa & Jean-François Cordeau & Bernard Gendron, 2009. "Benders, metric and cutset inequalities for multicommodity capacitated network design," Computational Optimization and Applications, Springer, vol. 42(3), pages 371-392, April.
    • Handle: RePEc:spr:coopap:v:42:y:2009:i:3:p:371-392
    DOI: 10.1007/s10589-007-9122-0
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    References listed on IDEAS

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    1. Teodor Gabriel Crainic & Michel Gendreau & Judith M. Farvolden, 2000. "A Simplex-Based Tabu Search Method for Capacitated Network Design," INFORMS Journal on Computing, INFORMS, vol. 12(3), pages 223-236, August.
    2. Ilfat Ghamlouche & Teodor Gabriel Crainic & Michel Gendreau, 2003. "Cycle-Based Neighbourhoods for Fixed-Charge Capacitated Multicommodity Network Design," Operations Research, INFORMS, vol. 51(4), pages 655-667, August.
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    Cited by:

    1. Fragkos, Ioannis & Cordeau, Jean-François & Jans, Raf, 2021. "Decomposition methods for large-scale network expansion problems," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 60-80.
    2. Mervat Chouman & Teodor Gabriel Crainic & Bernard Gendron, 2018. "The impact of filtering in a branch-and-cut algorithm for multicommodity capacitated fixed charge network design," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(2), pages 143-184, June.
    3. Stefan Gollowitzer & Bernard Gendron & Ivana Ljubić, 2013. "A cutting plane algorithm for the Capacitated Connected Facility Location Problem," Computational Optimization and Applications, Springer, vol. 55(3), pages 647-674, July.
    4. Grit Claßen & Arie M. C. A. Koster & David Coudert & Napoleão Nepomuceno, 2014. "Chance-Constrained Optimization of Reliable Fixed Broadband Wireless Networks," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 893-909, November.
    5. Agarwal, Y.K. & Aneja, Y.P. & Jayaswal, Sachin, 2022. "Directed fixed charge multicommodity network design: A cutting plane approach using polar duality," European Journal of Operational Research, Elsevier, vol. 299(1), pages 118-136.
    6. Gendron, Bernard & Hanafi, Saïd & Todosijević, Raca, 2018. "Matheuristics based on iterative linear programming and slope scaling for multicommodity capacitated fixed charge network design," European Journal of Operational Research, Elsevier, vol. 268(1), pages 70-81.
    7. Mervat Chouman & Teodor Gabriel Crainic & Bernard Gendron, 2017. "Commodity Representations and Cut-Set-Based Inequalities for Multicommodity Capacitated Fixed-Charge Network Design," Transportation Science, INFORMS, vol. 51(2), pages 650-667, May.
    8. Sara Mattia, 2012. "Solving survivable two-layer network design problems by metric inequalities," Computational Optimization and Applications, Springer, vol. 51(2), pages 809-834, March.
    9. Zetina, Carlos Armando & Contreras, Ivan & Fernández, Elena & Luna-Mota, Carlos, 2019. "Solving the optimum communication spanning tree problem," European Journal of Operational Research, Elsevier, vol. 273(1), pages 108-117.
    10. SteadieSeifi, M. & Dellaert, N.P. & Nuijten, W. & Van Woensel, T., 2017. "A metaheuristic for the multimodal network flow problem with product quality preservation and empty repositioning," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 321-344.
    11. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    12. 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.
    13. Ozgur Kabadurmus & Alice E. Smith, 2016. "Multi-commodity k-splittable survivable network design problems with relays," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 62(1), pages 123-133, May.
    14. Tobias Harks & Felix G. König & Jannik Matuschke & Alexander T. Richter & Jens Schulz, 2016. "An Integrated Approach to Tactical Transportation Planning in Logistics Networks," Transportation Science, INFORMS, vol. 50(2), pages 439-460, May.
    15. de Sá, Elisangela Martins & de Camargo, Ricardo Saraiva & de Miranda, Gilberto, 2013. "An improved Benders decomposition algorithm for the tree of hubs location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 185-202.
    16. Masoud Yaghini & Mohammad Karimi & Mohadeseh Rahbar & Mohammad Hassan Sharifitabar, 2015. "A Cutting-Plane Neighborhood Structure for Fixed-Charge Capacitated Multicommodity Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 48-58, February.

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