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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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    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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