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Enhanced formulations and branch-and-cut for the two level network design problem with transition facilities

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  • Gollowitzer, Stefan
  • Gouveia, Luis
  • Ljubić, Ivana

Abstract

We consider a new combinatorial optimization problem that combines network design and facility location aspects. Given a graph with two types of customers and two technologies that can be installed on the edges, the objective is to find a minimum cost subtree connecting all customers while the primary customers are served by a primary subtree that is embedded into the secondary subtree. In addition, besides fixed link installation costs, facility opening costs, associated to each node where primary and secondary subtree connect, have to be paid. The problem is called the Two Level Network Design Problem with Transition Facilities (TLNDF).

Suggested Citation

  • Gollowitzer, Stefan & Gouveia, Luis & Ljubić, Ivana, 2013. "Enhanced formulations and branch-and-cut for the two level network design problem with transition facilities," European Journal of Operational Research, Elsevier, vol. 225(2), pages 211-222.
    • Handle: RePEc:eee:ejores:v:225:y:2013:i:2:p:211-222
    DOI: 10.1016/j.ejor.2012.09.040
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    Cited by:

    1. Eduardo Álvarez-Miranda & Ivana Ljubić & S. Raghavan & Paolo Toth, 2015. "The Recoverable Robust Two-Level Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 1-19, February.
    2. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2018. "Multi-level facility location problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 791-805.
    3. Angilella, Vincent & Chardy, Matthieu & Ben-Ameur, Walid, 2018. "Fiber cable network design in tree networks," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1086-1106.

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