IDEAS home Printed from https://ideas.repec.org/a/spr/topjnl/v31y2023i2d10.1007_s11750-022-00637-1.html
   My bibliography  Save this article

Round-robin scheduling with regard to rest differences

Author

Listed:
  • Tasbih Tuffaha

    (Kadir Has University)

  • Burak Çavdaroğlu

    (Kadir Has University)

  • Tankut Atan

    (Bahçeşehir University)

Abstract

Fairness is a key consideration in designing sports schedules. When two teams play against each other, it is only fair to let them rest the same amount of time before their game. In this study, we aim to reduce, if not eliminate, the difference between the rest durations of opposing teams in each game of a round-robin tournament. The rest difference problem proposed here constructs a timetable that determines both the round and the matchday of each game such that the total rest difference throughout the tournament is minimized. We provide a mixed-integer programming formulation and a matheuristic algorithm that tackle the rest difference problem. Moreover, we develop a polynomial-time exact algorithm for some special cases of the problem. This algorithm finds optimal schedules with zero total rest difference when the number of teams is a positive-integer power of 2 and the number of games in each day is even. Some theoretical results regarding tournaments with one-game matchdays are also presented.

Suggested Citation

  • Tasbih Tuffaha & Burak Çavdaroğlu & Tankut Atan, 2023. "Round-robin scheduling with regard to rest differences," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 269-301, July.
    • Handle: RePEc:spr:topjnl:v:31:y:2023:i:2:d:10.1007_s11750-022-00637-1
    DOI: 10.1007/s11750-022-00637-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11750-022-00637-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11750-022-00637-1?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. Vincenzo Scoppa, 2015. "Fatigue and Team Performance in Soccer," Journal of Sports Economics, , vol. 16(5), pages 482-507, June.
    2. Briskorn, Dirk, 2009. "Combinatorial properties of strength groups in round robin tournaments," European Journal of Operational Research, Elsevier, vol. 192(3), pages 744-754, February.
    3. Schonberger, J. & Mattfeld, D. C. & Kopfer, H., 2004. "Memetic Algorithm timetabling for non-commercial sport leagues," European Journal of Operational Research, Elsevier, vol. 153(1), pages 102-116, February.
    4. Fabrício Costa & Sebastián Urrutia & Celso Ribeiro, 2012. "An ILS heuristic for the traveling tournament problem with predefined venues," Annals of Operations Research, Springer, vol. 194(1), pages 137-150, April.
    5. Knust, Sigrid, 2010. "Scheduling non-professional table-tennis leagues," European Journal of Operational Research, Elsevier, vol. 200(2), pages 358-367, January.
    6. R. Dries Goossens & Jurgen Kempeneers & H. Ruud Koning & Frits C.R. Spieksma, 2015. "Winning in straight sets helps in Grand Slam tennis," International Journal of Performance Analysis in Sport, Taylor & Francis Journals, vol. 15(3), pages 1007-1021, December.
    7. Durán, Guillermo & Durán, Santiago & Marenco, Javier & Mascialino, Federico & Rey, Pablo A., 2019. "Scheduling Argentina’s professional basketball leagues: A variation on the Travelling Tournament Problem," European Journal of Operational Research, Elsevier, vol. 275(3), pages 1126-1138.
    8. David Van Bulck & Dries Goossens, 2022. "Optimizing rest times and differences in games played: an iterative two-phase approach," Journal of Scheduling, Springer, vol. 25(3), pages 261-271, June.
    9. 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.
    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. Xiajie Yi & Dries Goossens, 2023. "Strategies for dealing with uncertainty in time-relaxed sports timetabling," Annals of Operations Research, Springer, vol. 320(1), pages 473-492, January.
    2. David Van Bulck & Dries Goossens, 2022. "Optimizing rest times and differences in games played: an iterative two-phase approach," Journal of Scheduling, Springer, vol. 25(3), pages 261-271, June.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Schönberger, Jörn, 2015. "Scheduling of Sport League Systems with Inter-League Constraints," Discussion Papers 2/2015, Technische Universität Dresden, "Friedrich List" Faculty of Transport and Traffic Sciences, Institute of Transport and Economics.
    8. Knust, Sigrid, 2010. "Scheduling non-professional table-tennis leagues," European Journal of Operational Research, Elsevier, vol. 200(2), pages 358-367, January.
    9. David Bulck & Dries R. Goossens & Frits C. R. Spieksma, 2019. "Scheduling a non-professional indoor football league: a tabu search based approach," Annals of Operations Research, Springer, vol. 275(2), pages 715-730, April.
    10. Roberto Maria Rosati & Matteo Petris & Luca Di Gaspero & Andrea Schaerf, 2022. "Multi-neighborhood simulated annealing for the sports timetabling competition ITC2021," Journal of Scheduling, Springer, vol. 25(3), pages 301-319, June.
    11. George H. G. Fonseca & Túlio A. M. Toffolo, 2022. "A fix-and-optimize heuristic for the ITC2021 sports timetabling problem," Journal of Scheduling, Springer, vol. 25(3), pages 273-286, June.
    12. Guillermo Durán & Mario Guajardo & Facundo Gutiérrez, 2022. "Efficient referee assignment in Argentinean professional basketball leagues using operations research methods," Annals of Operations Research, Springer, vol. 316(2), pages 1121-1139, September.
    13. Túlio A. M. Toffolo & Jan Christiaens & Frits C. R. Spieksma & Greet Vanden Berghe, 2019. "The sport teams grouping problem," Annals of Operations Research, Springer, vol. 275(1), pages 223-243, April.
    14. Fabrício Costa & Sebastián Urrutia & Celso Ribeiro, 2012. "An ILS heuristic for the traveling tournament problem with predefined venues," Annals of Operations Research, Springer, vol. 194(1), pages 137-150, April.
    15. Van Bulck, David & Goossens, Dries, 2023. "A traditional Benders’ approach to sports timetabling," European Journal of Operational Research, Elsevier, vol. 307(2), pages 813-826.
    16. Goller, Daniel & Krumer, Alex, 2020. "Let's meet as usual: Do games played on non-frequent days differ? Evidence from top European soccer leagues," European Journal of Operational Research, Elsevier, vol. 286(2), pages 740-754.
    17. Li, Miao & Davari, Morteza & Goossens, Dries, 2023. "Multi-league sports scheduling with different leagues sizes," European Journal of Operational Research, Elsevier, vol. 307(1), pages 313-327.
    18. Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre (Ed.), 2010. "Jahresbericht 2009," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 650, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    19. 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.
    20. Jaeseob Han & Seung-Hyun Jeon & Gyeong-Ho Lee & Sangdon Park & Jun-Kyun Choi, 2023. "Power and Frequency Band Allocation Mechanisms for WPT System with Logarithmic-Based Nonlinear Energy Harvesting Model," Sustainability, MDPI, vol. 15(13), pages 1-27, July.

    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:topjnl:v:31:y:2023:i:2:d:10.1007_s11750-022-00637-1. 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.