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Generalized Benders’ Decomposition for topology optimization problems

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  • Eduardo Muñoz

  • Mathias Stolpe

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  • Eduardo Muñoz & Mathias Stolpe, 2011. "Generalized Benders’ Decomposition for topology optimization problems," Journal of Global Optimization, Springer, vol. 51(1), pages 149-183, September.
    • Handle: RePEc:spr:jglopt:v:51:y:2011:i:1:p:149-183
    DOI: 10.1007/s10898-010-9627-4
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    References listed on IDEAS

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    1. Arthur M. Geoffrion, 1970. "Elements of Large Scale Mathematical Programming Part II: Synthesis of Algorithms and Bibliography," Management Science, INFORMS, vol. 16(11), pages 676-691, July.
    2. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    3. S. Bollapragada & O. Ghattas & J. N. Hooker, 2001. "Optimal Design of Truss Structures by Logic-Based Branch and Cut," Operations Research, INFORMS, vol. 49(1), pages 42-51, February.
    4. Miguel F. Anjos & Anthony Vannelli, 2008. "Computing Globally Optimal Solutions for Single-Row Layout Problems Using Semidefinite Programming and Cutting Planes," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 611-617, November.
    5. Walter Rei & Jean-François Cordeau & Michel Gendreau & Patrick Soriano, 2009. "Accelerating Benders Decomposition by Local Branching," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 333-345, May.
    6. Arthur M. Geoffrion, 1970. "Elements of Large-Scale Mathematical Programming Part I: Concepts," Management Science, INFORMS, vol. 16(11), pages 652-675, July.
    7. Canto, Salvador Perez, 2008. "Application of Benders' decomposition to power plant preventive maintenance scheduling," European Journal of Operational Research, Elsevier, vol. 184(2), pages 759-777, January.
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    Cited by:

    1. Morton O’Kelly & Henrique Luna & Ricardo Camargo & Gilberto Miranda, 2015. "Hub Location Problems with Price Sensitive Demands," Networks and Spatial Economics, Springer, vol. 15(4), pages 917-945, December.
    2. Semra Ağralı & Joseph Geunes & Z. Taşkın, 2012. "A facility location model with safety stock costs: analysis of the cost of single-sourcing requirements," Journal of Global Optimization, Springer, vol. 54(3), pages 551-581, November.
    3. Mathias Stolpe, 2015. "Truss topology optimization with discrete design variables by outer approximation," Journal of Global Optimization, Springer, vol. 61(1), pages 139-163, January.
    4. Ashkan Fakhri & Mehdi Ghatee, 2013. "Solution of preemptive multi-objective network design problems applying Benders decomposition method," Annals of Operations Research, Springer, vol. 210(1), pages 295-307, November.
    5. Xin, Yong-Lin & Sun, Qing-Han & Zhao, Tian & Li, Xia & Chen, Qun, 2023. "A categorized and decomposed algorithm for thermal system simulation based on generalized benders decomposition," Energy, Elsevier, vol. 282(C).

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