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Minimum cost capacity installation for multicommodity network flows

Author

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  • BIENSTOCK, Daniel
  • CHOPRA, Sunil
  • GÜNLÜK, Oktay
  • TSAI, Chih-Yang

Abstract

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Suggested Citation

  • BIENSTOCK, Daniel & CHOPRA, Sunil & GÜNLÜK, Oktay & TSAI, Chih-Yang, 1998. "Minimum cost capacity installation for multicommodity network flows," LIDAM Reprints CORE 1391, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1391
    DOI: 10.1007/BF01581104
    Note: In : Mathematical Programming, 81, 177-199, 1998
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    Cited by:

    1. Yogesh K. Agarwal, 2002. "Design of Capacitated Multicommodity Networks with Multiple Facilities," Operations Research, INFORMS, vol. 50(2), pages 333-344, April.
    2. Jack Brimberg & Pierre Hansen & Keh-Wei Lin & Nenad Mladenović & MichÈle Breton, 2003. "An Oil Pipeline Design Problem," Operations Research, INFORMS, vol. 51(2), pages 228-239, April.
    3. 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.
    4. Morten Riis & Kim Allan Andersen, 2002. "Capacitated Network Design with Uncertain Demand," INFORMS Journal on Computing, INFORMS, vol. 14(3), pages 247-260, August.
    5. Ioannis Gamvros & Bruce Golden & S. Raghavan, 2006. "The Multilevel Capacitated Minimum Spanning Tree Problem," INFORMS Journal on Computing, INFORMS, vol. 18(3), pages 348-365, August.
    6. Ada Suk‐fung Ng & Trilochan Sastry & Janny M.Y. Leung & X.Q. Cai, 2004. "On the uncapacitated K‐commodity network design problem with zero flow‐costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(8), pages 1149-1172, December.
    7. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2007. "Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs," Operations Research, INFORMS, vol. 55(1), pages 146-157, February.
    8. Sara Mattia & Michael Poss, 2018. "A comparison of different routing schemes for the robust network loading problem: polyhedral results and computation," Computational Optimization and Applications, Springer, vol. 69(3), pages 753-800, April.
    9. Bernard Fortz & Martine Labbé & Francesco Maffioli, 2000. "Solving the Two-Connected Network with Bounded Meshes Problem," Operations Research, INFORMS, vol. 48(6), pages 866-877, December.
    10. Andrew P. Armacost & Cynthia Barnhart & Keith A. Ware, 2002. "Composite Variable Formulations for Express Shipment Service Network Design," Transportation Science, INFORMS, vol. 36(1), pages 1-20, February.
    11. F. Sibel Salman & R. Ravi & John N. Hooker, 2008. "Solving the Capacitated Local Access Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 20(2), pages 243-254, May.
    12. 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.
    13. Zuo‐Jun Max Shen & Jia Shu & David Simchi‐Levi & Chung‐Piaw Teo & Jiawei Zhang, 2009. "Approximation algorithms for general one‐warehouse multi‐retailer systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(7), pages 642-658, October.
    14. 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.
    15. Yogesh Agarwal, 2013. "Design of Survivable Networks Using Three- and Four-Partition Facets," Operations Research, INFORMS, vol. 61(1), pages 199-213, February.
    16. Moon, Mark A. & Mentzer, John T. & Smith, Carlo D., 2003. "Conducting a sales forecasting audit," International Journal of Forecasting, Elsevier, vol. 19(1), pages 5-25.
    17. Daniel Bienstock & Olga Raskina & Iraj Saniee & Qiong Wang, 2006. "Combined Network Design and Multiperiod Pricing: Modeling, Solution Techniques, and Computation," Operations Research, INFORMS, vol. 54(2), pages 261-276, April.
    18. Yogesh Kumar Agarwal & Prahalad Venkateshan, 2019. "New Valid Inequalities for the Optimal Communication Spanning Tree Problem," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 268-284, April.
    19. Ahmad Baubaid & Natashia Boland & Martin Savelsbergh, 2021. "The Value of Limited Flexibility in Service Network Designs," Transportation Science, INFORMS, vol. 55(1), pages 52-74, 1-2.
    20. Ayşegül Altın & Hande Yaman & Mustafa Ç. Pınar, 2011. "The Robust Network Loading Problem Under Hose Demand Uncertainty: Formulation, Polyhedral Analysis, and Computations," INFORMS Journal on Computing, INFORMS, vol. 23(1), pages 75-89, February.
    21. Geir Dahl & Alexander Martin & Mechthild Stoer, 1999. "Routing Through Virtual Paths in Layered Telecommunication Networks," Operations Research, INFORMS, vol. 47(5), pages 693-702, October.
    22. Agarwal, Y.K. & Aneja, Y.P., 2017. "Fixed charge multicommodity network design using p-partition facets," European Journal of Operational Research, Elsevier, vol. 258(1), pages 124-135.
    23. Shaileshh Bojja Venkatakrishnan & Mohammad Alizadeh & Pramod Viswanath, 2018. "Costly circuits, submodular schedules and approximate Carathéodory Theorems," Queueing Systems: Theory and Applications, Springer, vol. 88(3), pages 311-347, April.
    24. Majid Taghavi & Kai Huang, 2016. "A multi‐stage stochastic programming approach for network capacity expansion with multiple sources of capacity," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(8), pages 600-614, December.

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