IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v235y2014i3p727-739.html
   My bibliography  Save this article

A MIP-based approach to solve the prize-collecting local access network design problem

Author

Listed:
  • Ljubić, Ivana
  • Putz, Peter
  • Salazar-González, Juan-José

Abstract

This paper presents a new combinatorial optimization problem that can be used to model the deployment of broadband telecommunications systems in which optical fiber cables are installed between a central office and a number of end-customers. In this capacitated network design problem the installation of optical fiber cables with sufficient capacity is required to carry the traffic from the central office to the end-customers at minimum cost. In the situation motivating this research the network does not necessarily need to connect all customers (or at least not with the best available technology). Instead, some nodes are potential customers. The aim is to select the customers to be connected to the central server and to choose the cable capacities to establish these connections. The telecom company takes the strategic decision of fixing a percentage of customers that should be served, and aims for minimizing the total cost of the network providing this minimum service. For that reason the underlying problem is called the Prize-Collecting Local Access Network Design problem (PC-LAN).

Suggested Citation

  • Ljubić, Ivana & Putz, Peter & Salazar-González, Juan-José, 2014. "A MIP-based approach to solve the prize-collecting local access network design problem," European Journal of Operational Research, Elsevier, vol. 235(3), pages 727-739.
  • Handle: RePEc:eee:ejores:v:235:y:2014:i:3:p:727-739
    DOI: 10.1016/j.ejor.2013.11.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221713009028
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2013.11.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kim, Youngjin & Lee, Youngho & Han, Junghee, 2011. "A splitter location-allocation problem in designing fiber optic access networks," European Journal of Operational Research, Elsevier, vol. 210(2), pages 425-435, April.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yazar, Başak & Arslan, Okan & Karaşan, Oya Ekin & Kara, Bahar Y., 2016. "Fiber optical network design problems: A case for Turkey," Omega, Elsevier, vol. 63(C), pages 23-40.
    2. Delle Donne, Diego & Alfandari, Laurent & Archetti, Claudia & Ljubić, Ivana, 2023. "Freight-on-Transit for urban last-mile deliveries: A strategic planning approach," Transportation Research Part B: Methodological, Elsevier, vol. 169(C), pages 53-81.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chardy, M. & Costa, M.-C. & Faye, A. & Trampont, M., 2012. "Optimizing splitter and fiber location in a multilevel optical FTTH network," European Journal of Operational Research, Elsevier, vol. 222(3), pages 430-440.
    2. Liang Chen & Wei-Kun Chen & Mu-Ming Yang & Yu-Hong Dai, 2021. "An exact separation algorithm for unsplittable flow capacitated network design arc-set polyhedron," Journal of Global Optimization, Springer, vol. 81(3), pages 659-689, November.
    3. Ashwin Arulselvan & Mohsen Rezapour, 2017. "Exact Approaches for Designing Multifacility Buy-at-Bulk Networks," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 597-611, November.
    4. Stefan Gollowitzer & Bernard Gendron & Ivana Ljubić, 2013. "A cutting plane algorithm for the Capacitated Connected Facility Location Problem," Computational Optimization and Applications, Springer, vol. 55(3), pages 647-674, July.
    5. Kim, Youngjin & Lee, Youngho & Han, Junghee, 2011. "A splitter location-allocation problem in designing fiber optic access networks," European Journal of Operational Research, Elsevier, vol. 210(2), pages 425-435, April.
    6. Yazar, Başak & Arslan, Okan & Karaşan, Oya Ekin & Kara, Bahar Y., 2016. "Fiber optical network design problems: A case for Turkey," Omega, Elsevier, vol. 63(C), pages 23-40.
    7. Gouveia, Luís & Lopes, Maria João & de Sousa, Amaro, 2015. "Single PON network design with unconstrained splitting stages," European Journal of Operational Research, Elsevier, vol. 240(2), pages 361-371.
    8. Fortz, Bernard & Gouveia, Luís & Joyce-Moniz, Martim, 2017. "Models for the piecewise linear unsplittable multicommodity flow problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 30-42.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:235:y:2014:i:3:p:727-739. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.