IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v235y2015i1p423-45210.1007-s10479-015-1914-5.html
   My bibliography  Save this article

Set constraint model and automated encoding into SAT: application to the social golfer problem

Author

Listed:
  • Frédéric Lardeux
  • Eric Monfroy
  • Broderick Crawford
  • Ricardo Soto

Abstract

On the one hand, constraint satisfaction problems allow one to expressively model problems. On the other hand, propositional satisfiability problem (SAT) solvers can handle huge SAT instances. We thus present a technique to expressively model set constraint problems and to encode them automatically into SAT instances. We apply our technique to the social golfer problem and we also use it to break symmetries of the problem. Our technique is simpler, more expressive, and less error-prone than direct modeling. The SAT instances that we automatically generate contain less clauses than improved direct instances such as in Triska and Musliu (Ann Oper Res 194(1):427–438, 2012 ), and with unit propagation they also contain less variables. Moreover, they are well-suited for SAT solvers and they are solved faster as shown when solving difficult instances of the social golfer problem. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Frédéric Lardeux & Eric Monfroy & Broderick Crawford & Ricardo Soto, 2015. "Set constraint model and automated encoding into SAT: application to the social golfer problem," Annals of Operations Research, Springer, vol. 235(1), pages 423-452, December.
  • Handle: RePEc:spr:annopr:v:235:y:2015:i:1:p:423-452:10.1007/s10479-015-1914-5
    DOI: 10.1007/s10479-015-1914-5
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-015-1914-5
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10479-015-1914-5?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. Markus Triska & Nysret Musliu, 2012. "An improved SAT formulation for the social golfer problem," Annals of Operations Research, Springer, vol. 194(1), pages 427-438, April.
    2. S. Prestwich, 2003. "Negative Effects of Modeling Techniques on Search Performance," Annals of Operations Research, Springer, vol. 118(1), pages 137-150, February.
    Full references (including those not matched with items on IDEAS)

    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. David Rodríguez Rueda & Carlos Cotta & Antonio J. Fernández-Leiva, 2021. "Metaheuristics for the template design problem: encoding, symmetry and hybridisation," Journal of Intelligent Manufacturing, Springer, vol. 32(2), pages 559-578, February.
    2. Steven Prestwich, 2007. "Exploiting relaxation in local search for LABS," Annals of Operations Research, Springer, vol. 156(1), pages 129-141, December.
    3. Schmand, Daniel & Schröder, Marc & Vargas Koch, Laura, 2022. "A greedy algorithm for the social golfer and the Oberwolfach problem," European Journal of Operational Research, Elsevier, vol. 300(1), pages 310-319.
    4. Martin Mariusz Lester, 2022. "Pseudo-Boolean optimisation for RobinX sports timetabling," Journal of Scheduling, Springer, vol. 25(3), pages 287-299, June.

    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:annopr:v:235:y:2015:i:1:p:423-452:10.1007/s10479-015-1914-5. 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.