IDEAS home Printed from https://ideas.repec.org/a/spr/jsched/v26y2023i5d10.1007_s10951-022-00734-w.html
   My bibliography  Save this article

The flexibility of home away pattern sets

Author

Listed:
  • Roel Lambers

    (Eindhoven University of Technology)

  • Dries Goossens

    (Ghent University)

  • Frits C. R. Spieksma

    (Eindhoven University of Technology)

Abstract

A popular approach to construct a schedule for a round-robin tournament is known as first-break, then-schedule. Thus, when given a home away pattern (HAP) for each team, which specifies for each round whether the team plays a home game or an away game, the remaining challenge is to find a round for each match that is compatible with both team’s patterns. When using such an approach, it matters how many rounds are available for each match: the more rounds are available for a match, the more options exist to accommodate particular constraints. We investigate the notion of flexibility of a set of HAPs and introduce a number of measures assessing this flexibility. We show how the so-called canonical pattern set (CPS) behaves on these measures, and, by solving integer programs, we give explicit values for all single-break HAP sets with at most 16 teams.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:5:d:10.1007_s10951-022-00734-w
    DOI: 10.1007/s10951-022-00734-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10951-022-00734-w
    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/s10951-022-00734-w?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. 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.
    2. Van Bulck, David & Goossens, Dries & Schönberger, Jörn & Guajardo, Mario, 2020. "RobinX: A three-field classification and unified data format for round-robin sports timetabling," European Journal of Operational Research, Elsevier, vol. 280(2), pages 568-580.
    3. 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. 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.
    2. 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.
    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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Schauz, Uwe, 2016. "The tournament scheduling problem with absences," European Journal of Operational Research, Elsevier, vol. 254(3), pages 746-754.
    10. 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.
    11. 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.
    12. Knust, Sigrid, 2010. "Scheduling non-professional table-tennis leagues," European Journal of Operational Research, Elsevier, vol. 200(2), pages 358-367, January.
    13. Martin Mariusz Lester, 2022. "Pseudo-Boolean optimisation for RobinX sports timetabling," Journal of Scheduling, Springer, vol. 25(3), pages 287-299, June.
    14. 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.
    15. 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.
    16. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Monotonicity in sharing the revenues from broadcasting sports leagues," European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
    17. 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.
    18. Nicolau, Juan L., 2012. "The effect of winning the 2010 FIFA World Cup on the tourism market value: The Spanish case," Omega, Elsevier, vol. 40(5), pages 503-510.
    19. Michael A. Trick & Hakan Yildiz & Tallys Yunes, 2012. "Scheduling Major League Baseball Umpires and the Traveling Umpire Problem," Interfaces, INFORMS, vol. 42(3), pages 232-244, June.
    20. Jari Kyngäs & Kimmo Nurmi & Nico Kyngäs & George Lilley & Thea Salter & Dries Goossens, 2017. "Scheduling the Australian Football League," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 973-982, August.

    More about this item

    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:jsched:v:26:y:2023:i:5:d:10.1007_s10951-022-00734-w. 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.