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New pricing strategies and an effective exact solution framework for profit-oriented ring arborescence problems

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  • Baldacci, Roberto
  • Hoshino, Edna A.
  • Hill, Alessandro

Abstract

We study novel solution methods for a class of network optimization problems that find application in strategic planning of telecommunication infrastructure. These directed network design models are used to compute centralized two-level networks under capacity constraints: Circuits on the inner level and directed trees in the periphery.

Suggested Citation

  • Baldacci, Roberto & Hoshino, Edna A. & Hill, Alessandro, 2023. "New pricing strategies and an effective exact solution framework for profit-oriented ring arborescence problems," European Journal of Operational Research, Elsevier, vol. 307(2), pages 538-553.
    • Handle: RePEc:eee:ejores:v:307:y:2023:i:2:p:538-553
    DOI: 10.1016/j.ejor.2022.10.001
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    References listed on IDEAS

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    1. Naji-Azimi, Zahra & Salari, Majid & Toth, Paolo, 2010. "A heuristic procedure for the Capacitated m-Ring-Star problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1227-1234, December.
    2. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti, 2011. "New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1269-1283, October.
    3. Alessandro Hill & Stefan Voß, 2016. "Optimal capacitated ring trees," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 4(2), pages 137-166, May.
    4. Lijun Wei & Zhixing Luo, & Roberto Baldacci & Andrew Lim, 2020. "A New Branch-and-Price-and-Cut Algorithm for One-Dimensional Bin-Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 428-443, April.
    5. Baldacci, R. & Dell'Amico, M., 2010. "Heuristic algorithms for the multi-depot ring-star problem," European Journal of Operational Research, Elsevier, vol. 203(1), pages 270-281, May.
    6. Ruslan Sadykov & François Vanderbeck & Artur Pessoa & Issam Tahiri & Eduardo Uchoa, 2019. "Primal Heuristics for Branch and Price: The Assets of Diving Methods," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 251-267, April.
    7. Ruslan Sadykov & François Vanderbeck, 2013. "Bin Packing with Conflicts: A Generic Branch-and-Price Algorithm," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 244-255, May.
    8. Alessandro Hill & Roberto Baldacci & Edna Ayako Hoshino, 2019. "Capacitated ring arborescence problems with profits," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 357-389, June.
    9. Baldacci, Roberto & Hill, Alessandro & Hoshino, Edna A. & Lim, Andrew, 2017. "Pricing strategies for capacitated ring-star problems based on dynamic programming algorithms," European Journal of Operational Research, Elsevier, vol. 262(3), pages 879-893.
    10. Harlan Crowder & Ellis L. Johnson & Manfred Padberg, 1983. "Solving Large-Scale Zero-One Linear Programming Problems," Operations Research, INFORMS, vol. 31(5), pages 803-834, October.
    11. Luciano Costa & Claudio Contardo & Guy Desaulniers, 2019. "Exact Branch-Price-and-Cut Algorithms for Vehicle Routing," Transportation Science, INFORMS, vol. 53(4), pages 946-985, July.
    12. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
    13. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    14. Gerhard Reinelt, 1991. "TSPLIB—A Traveling Salesman Problem Library," INFORMS Journal on Computing, INFORMS, vol. 3(4), pages 376-384, November.
    15. Naji-Azimi, Zahra & Salari, Majid & Toth, Paolo, 2012. "An Integer Linear Programming based heuristic for the Capacitated m-Ring-Star Problem," European Journal of Operational Research, Elsevier, vol. 217(1), pages 17-25.
    16. Villeneuve, Daniel & Desaulniers, Guy, 2005. "The shortest path problem with forbidden paths," European Journal of Operational Research, Elsevier, vol. 165(1), pages 97-107, August.
    17. R. Baldacci & M. Dell'Amico & J. Salazar González, 2007. "The Capacitated m -Ring-Star Problem," Operations Research, INFORMS, vol. 55(6), pages 1147-1162, December.
    18. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
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