IDEAS home Printed from https://ideas.repec.org/p/zbw/cauman/646.html
   My bibliography  Save this paper

Optimally scheduling real world sports leagues by reduction to SAT

Author

Listed:
  • Horbach, Andrei
  • Bartsch, Thomas
  • Briskorn, Dirk

Abstract

Several types of constraints must be satisfied by schedules of real world sports leagues, e. g. stadium unavailability, fixed matches, forbidden matches, minimum number of breaks. Taking into account such constraints, determining a feasible schedule becomes a challenging task. Usually, there is no schedule satisfying all given constraints and, hence, some of the constraints are considered as 'soft' ones. There are various models appropriately describing the environment of real sport leagues. Only heuristic methods are known from the literature for solving instances of such models for real dimensions. We consider here a model which satisfies the demands of many sports leagues. We solve our model by a method which consists in formulating the problem as series of instances of the propositional satisfiability problem and adaption of a satisfiability solver for these specific instances. We test our method on two real world sports leagues and solve the problem optimally in each case. Our solver shows good computational results also on generated test instances, which are motivated by real life requirements of sports league scheduling. Our solver can be easily extended to meet the demands of other sports leagues.

Suggested Citation

  • Horbach, Andrei & Bartsch, Thomas & Briskorn, Dirk, 2009. "Optimally scheduling real world sports leagues by reduction to SAT," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 646, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:646
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/147564/1/manuskript_646.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dirk Briskorn & Andreas Drexl, 2007. "Branching Based on Home-Away-Pattern Sets," Operations Research Proceedings, in: Karl-Heinz Waldmann & Ulrike M. Stocker (ed.), Operations Research Proceedings 2006, pages 523-528, Springer.
    2. Rasmussen, Rasmus V. & Trick, Michael A., 2008. "Round robin scheduling - a survey," European Journal of Operational Research, Elsevier, vol. 188(3), pages 617-636, August.
    3. Guillermo Durán & Mario Guajardo & Jaime Miranda & Denis Sauré & Sebastián Souyris & Andres Weintraub & Rodrigo Wolf, 2007. "Scheduling the Chilean Soccer League by Integer Programming," Interfaces, INFORMS, vol. 37(6), pages 539-552, December.
    4. Briskorn, Dirk & Drexl, Andreas, 2009. "A branching scheme for finding cost-minimal round robin tournaments," European Journal of Operational Research, Elsevier, vol. 197(1), pages 68-76, August.
    5. Briskorn, Dirk, 2009. "A branching scheme for minimum cost tournaments with regard to real world constraints," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 643, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. Drexl, Andreas & Knust, Sigrid, 2007. "Sports league scheduling: Graph- and resource-based models," Omega, Elsevier, vol. 35(5), pages 465-471, October.
    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. Briskorn, Dirk, 2009. "A branching scheme for minimum cost tournaments with regard to real world constraints," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 643, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Flavia Bonomo & Andrés Cardemil & Guillermo Durán & Javier Marenco & Daniela Sabán, 2012. "An Application of the Traveling Tournament Problem: The Argentine Volleyball League," Interfaces, INFORMS, vol. 42(3), pages 245-259, June.
    3. D Briskorn, 2011. "A branching scheme for minimum cost tournaments with regard to real-world constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2133-2145, December.
    4. Briskorn, Dirk & Horbach, Andrei, 2009. "A Lagrangian approach for minimum cost tournaments," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 647, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    5. Guillermo Durán, 2021. "Sports scheduling and other topics in sports analytics: a survey with special reference to Latin America," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 125-155, April.
    6. Dries Goossens & Jeroen Beliën, 2023. "Teaching Integer Programming by Scheduling the Belgian Soccer League," INFORMS Transactions on Education, INFORMS, vol. 23(3), pages 164-172, May.
    7. Guillermo Durán & Mario Guajardo & Facundo Gutiérrez & Javier Marenco & Denis Sauré & Gonzalo Zamorano, 2021. "Scheduling the Main Professional Football League of Argentina," Interfaces, INFORMS, vol. 51(5), pages 361-372, September.
    8. David Van Bulck & Dries Goossens & Jo¨rn Scho¨nberger & Mario Guajardo, 2020. "An Instance Data Repository for the Round-robin Sports Timetabling Problem," Management and Labour Studies, XLRI Jamshedpur, School of Business Management & Human Resources, vol. 45(2), pages 184-200, May.
    9. Yi, Xiajie & Goossens, Dries & Nobibon, Fabrice Talla, 2020. "Proactive and reactive strategies for football league timetabling," European Journal of Operational Research, Elsevier, vol. 282(2), pages 772-785.
    10. van Doornmalen, Jasper & Hojny, Christopher & Lambers, Roel & Spieksma, Frits C.R., 2023. "Integer programming models for round robin tournaments," European Journal of Operational Research, Elsevier, vol. 310(1), pages 24-33.
    11. Roel Lambers & Dries Goossens & Frits C. R. Spieksma, 2023. "The flexibility of home away pattern sets," Journal of Scheduling, Springer, vol. 26(5), pages 413-423, October.
    12. D Briskorn & A Drexl, 2009. "A branch-and-price algorithm for scheduling sport leagues," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 84-93, January.
    13. Knust, Sigrid, 2010. "Scheduling non-professional table-tennis leagues," European Journal of Operational Research, Elsevier, vol. 200(2), pages 358-367, January.
    14. Fernando Alarcón & Guillermo Durán & Mario Guajardo & Jaime Miranda & Hugo Muñoz & Luis Ramírez & Mario Ramírez & Denis Sauré & Matías Siebert & Sebastián Souyris & Andrés Weintraub & Rodrigo Wolf-Yad, 2017. "Operations Research Transforms the Scheduling of Chilean Soccer Leagues and South American World Cup Qualifiers," Interfaces, INFORMS, vol. 47(1), pages 52-69, February.
    15. Elizabeth L. Bouzarth & Benjamin C. Grannan & John M. Harris & Kevin R. Hutson, 2022. "Scheduling the Valley Baseball League," Interfaces, INFORMS, vol. 52(2), pages 189-197, March.
    16. Chen Cohen & Ishay Rabi & Aner Sela, 2023. "Optimal seedings in interdependent contests," Annals of Operations Research, Springer, vol. 328(2), pages 1263-1285, September.
    17. Durán, Guillermo & Guajardo, Mario & Sauré, Denis, 2017. "Scheduling the South American Qualifiers to the 2018 FIFA World Cup by integer programming," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1109-1115.
    18. Krumer, Alex & Megidish, Reut & Sela, Aner, 2023. "Strategic manipulations in round-robin tournaments," Mathematical Social Sciences, Elsevier, vol. 122(C), pages 50-57.
    19. Celso C. Ribeiro & Sebastián Urrutia, 2012. "Scheduling the Brazilian Soccer Tournament: Solution Approach and Practice," Interfaces, INFORMS, vol. 42(3), pages 260-272, June.
    20. Guillermo Durán & Mario Guajardo & Rodrigo Wolf-Yadlin, 2012. "Operations Research Techniques for Scheduling Chile's Second Division Soccer League," Interfaces, INFORMS, vol. 42(3), pages 273-285, 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:zbw:cauman:646. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/ibkiede.html .

    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.