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Extended formulation for hop constrained distribution network configuration problems

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  • De Boeck, Jérôme
  • Fortz, Bernard

Abstract

A distribution network is a system aiming to transfer a certain type of resource from feeders to customers. Feeders are producers of a resource and customers have a certain demand in this resource that must be satisfied. Distribution networks can be represented on graphs and be subject to constraints that limit the number of intermediate nodes between some elements of the network (hop constraints) because of physical constraints. This paper uses layered graphs for hop constrained problems to build extended formulations. Preprocessing techniques are also presented to reduce the size of the layered graphs used.

Suggested Citation

  • De Boeck, Jérôme & Fortz, Bernard, 2018. "Extended formulation for hop constrained distribution network configuration problems," European Journal of Operational Research, Elsevier, vol. 265(2), pages 488-502.
    • Handle: RePEc:eee:ejores:v:265:y:2018:i:2:p:488-502
    DOI: 10.1016/j.ejor.2017.08.017
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    References listed on IDEAS

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    1. 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.
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    5. 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.
    6. Pirkul, Hasan & Soni, Samit, 2003. "New formulations and solution procedures for the hop constrained network design problem," European Journal of Operational Research, Elsevier, vol. 148(1), pages 126-140, July.
    7. 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. Leitner, Markus & Ljubić, Ivana & Riedler, Martin & Ruthmair, Mario, 2020. "Exact approaches for the directed network design problem with relays," Omega, Elsevier, vol. 91(C).

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