IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v68y2008i2p295-311.html
   My bibliography  Save this article

Minimum power multicasting problem in wireless networks

Author

Listed:
  • Valeria Leggieri
  • Paolo Nobili
  • Chefi Triki

Abstract

In this paper we deal with the minimum power multicasting (MPM) problem in wireless ad-hoc networks. By using an appropriate choice of the decision variables and by exploiting the topological properties of the problem, we are able to define an original formulation based on a Set Covering model. Moreover, we propose for its solution two exact procedures that include a preprocessing technique that reduces the huge number of the model’s constraints. We also report some experimental results carried out on a set of randomly generated test problems. Copyright Springer-Verlag 2008

Suggested Citation

  • Valeria Leggieri & Paolo Nobili & Chefi Triki, 2008. "Minimum power multicasting problem in wireless networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(2), pages 295-311, October.
    • Handle: RePEc:spr:mathme:v:68:y:2008:i:2:p:295-311
    DOI: 10.1007/s00186-008-0222-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-008-0222-0
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00186-008-0222-0?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. Montemanni, Roberto & Leggieri, Valeria & Triki, Chefi, 2008. "Mixed integer formulations for the probabilistic minimum energy broadcast problem in wireless networks," European Journal of Operational Research, Elsevier, vol. 190(2), pages 578-585, October.
    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. Xiangyong Li & Y. P. Aneja, 2012. "A Branch-and-Cut Approach for the Minimum-Energy Broadcasting Problem in Wireless Networks," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 443-456, August.
    2. Rossi, André & Aubry, Alexis & Jacomino, Mireille, 2012. "Connectivity-and-hop-constrained design of electricity distribution networks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 48-57.
    3. R. Montemanni & V. Leggieri, 2011. "A branch and price algorithm for the minimum power multicasting problem in wireless sensor networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 327-342, December.
    4. János Barta & Valeria Leggieri & Roberto Montemanni & Paolo Nobili & Chefi Triki, 2011. "Minimum power multicasting in wireless networks under probabilistic node failures," Computational Optimization and Applications, Springer, vol. 49(1), pages 193-212, May.
    5. Marika Ivanova & Dag Haugland, 2019. "Integer programming formulations for the shared multicast tree problem," Journal of Combinatorial Optimization, Springer, vol. 38(3), pages 927-956, October.

    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. Xia, Li & Shihada, Basem, 2015. "A Jackson network model and threshold policy for joint optimization of energy and delay in multi-hop wireless networks," European Journal of Operational Research, Elsevier, vol. 242(3), pages 778-787.
    2. Brazil, M. & Ras, C.J. & Thomas, D.A., 2014. "A geometric characterisation of the quadratic min-power centre," European Journal of Operational Research, Elsevier, vol. 233(1), pages 34-42.
    3. János Barta & Valeria Leggieri & Roberto Montemanni & Paolo Nobili & Chefi Triki, 2011. "Minimum power multicasting in wireless networks under probabilistic node failures," Computational Optimization and Applications, Springer, vol. 49(1), pages 193-212, May.

    More about this item

    Keywords

    Multicast problem; Set Covering problem;

    Statistics

    Access and download statistics

    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:spr:mathme:v:68:y:2008:i:2:p:295-311. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.