IDEAS home Printed from https://ideas.repec.org/a/spr/jsched/v26y2023i1d10.1007_s10951-022-00752-8.html
   My bibliography  Save this article

A quest for a fair schedule: The International Young Physicists’ Tournament

Author

Listed:
  • Katarína Cechlárová

    (P. J. Šafárik University)

  • Ágnes Cseh

    (Centre for Economic and Regional Studies, Institute of Economics)

  • Zsuzsanna Jankó

    (Centre for Economic and Regional Studies, Institute of Economics
    Corvinus University of Budapest)

  • Marián Kireš

    (P. J. Šafárik University)

  • Lukáš Miňo

    (P. J. Šafárik University)

Abstract

The International Young Physicists’ Tournament is an established team-oriented scientific competition between high school students from 37 countries on 5 continents. The competition consists of scientific discussions called Fights. Three or four teams participate in each Fight, while rotating the roles of Presenter, Opponent, Reviewer, and Observer among them. The rules of a few countries require that each team announces in advance three problems they will present at the regional tournament. The task of the organizers is to choose the composition of Fights in such a way that each team presents each of its chosen problems exactly once and within a single Fight no problem is presented more than once. Besides formalizing these feasibility conditions, in this paper we formulate several additional fairness criteria for tournament schedules. We show that the fulfillment of some of them can be ensured by constructing suitable edge colorings in bipartite graphs. To find fair schedules, we propose integer linear programs and test them on real as well as randomly generated data.

Suggested Citation

  • Katarína Cechlárová & Ágnes Cseh & Zsuzsanna Jankó & Marián Kireš & Lukáš Miňo, 2023. "A quest for a fair schedule: The International Young Physicists’ Tournament," Journal of Scheduling, Springer, vol. 26(1), pages 3-18, February.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:1:d:10.1007_s10951-022-00752-8
    DOI: 10.1007/s10951-022-00752-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10951-022-00752-8
    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/s10951-022-00752-8?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. Moritz Mühlenthaler & Rolf Wanka, 2016. "Fairness in academic course timetabling," Annals of Operations Research, Springer, vol. 239(1), pages 171-188, April.
    2. Stolletz, Raik & Brunner, Jens O., 2012. "Fair optimization of fortnightly physician schedules with flexible shifts," European Journal of Operational Research, Elsevier, vol. 219(3), pages 622-629.
    3. Roberto Asín Achá & Robert Nieuwenhuis, 2014. "Curriculum-based course timetabling with SAT and MaxSAT," Annals of Operations Research, Springer, vol. 218(1), pages 71-91, July.
    4. Januario, Tiago & Urrutia, Sebastián & Ribeiro, Celso C. & de Werra, Dominique, 2016. "Edge coloring: A natural model for sports scheduling," European Journal of Operational Research, Elsevier, vol. 254(1), pages 1-8.
    5. 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. Ceschia, Sara & Di Gaspero, Luca & Schaerf, Andrea, 2023. "Educational timetabling: Problems, benchmarks, and state-of-the-art results," European Journal of Operational Research, Elsevier, vol. 308(1), pages 1-18.
    2. David Rea & Craig Froehle & Suzanne Masterson & Brian Stettler & Gregory Fermann & Arthur Pancioli, 2021. "Unequal but Fair: Incorporating Distributive Justice in Operational Allocation Models," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2304-2320, July.
    3. Lennart Sinjorgo & Renata Sotirov, 2024. "On Solving MAX-SAT Using Sum of Squares," INFORMS Journal on Computing, INFORMS, vol. 36(2), pages 417-433, March.
    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. 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.
    6. Alexandre Lemos & Pedro T. Monteiro & Inês Lynce, 2021. "Disruptions in timetables: a case study at Universidade de Lisboa," Journal of Scheduling, Springer, vol. 24(1), pages 35-48, February.
    7. Wang, Fan & Zhang, Chao & Zhang, Hui & Xu, Liang, 2021. "Short-term physician rescheduling model with feature-driven demand for mental disorders outpatients," Omega, Elsevier, vol. 105(C).
    8. Jan Schoenfelder & Christian Pfefferlen, 2018. "Decision Support for the Physician Scheduling Process at a German Hospital," Service Science, INFORMS, vol. 10(3), pages 215-229, September.
    9. Doi, Tsubasa & Nishi, Tatsushi & Voß, Stefan, 2018. "Two-level decomposition-based matheuristic for airline crew rostering problems with fair working time," European Journal of Operational Research, Elsevier, vol. 267(2), pages 428-438.
    10. Erhard, Melanie & Schoenfelder, Jan & Fügener, Andreas & Brunner, Jens O., 2018. "State of the art in physician scheduling," European Journal of Operational Research, Elsevier, vol. 265(1), pages 1-18.
    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. Paola Cappanera & Filippo Visintin & Roberta Rossi, 2022. "The emergency department physician rostering problem: obtaining equitable solutions via network optimization," Flexible Services and Manufacturing Journal, Springer, vol. 34(4), pages 916-959, December.
    14. Farzad Zaerpour & Marco Bijvank & Huiyin Ouyang & Zhankun Sun, 2022. "Scheduling of Physicians with Time‐Varying Productivity Levels in Emergency Departments," Production and Operations Management, Production and Operations Management Society, vol. 31(2), pages 645-667, February.
    15. Brecht Cardoen & Jeroen Beliën & Mario Vanhoucke, 2015. "On the design of custom packs: grouping of medical disposable items for surgeries," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7343-7359, December.
    16. 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.
    17. G Kendall, 2008. "Scheduling English football fixtures over holiday periods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 743-755, June.
    18. Xu, Shuling & Hall, Nicholas G., 2021. "Fatigue, personnel scheduling and operations: Review and research opportunities," European Journal of Operational Research, Elsevier, vol. 295(3), pages 807-822.
    19. Tzu-Chin Lin & Bertrand M. T. Lin, 2023. "Optimal Fair-Workload Scheduling: A Case Study at Glorytek," Mathematics, MDPI, vol. 11(19), pages 1-17, September.
    20. Wolbeck, Lena & Kliewer, Natalia & Marques, Inês, 2020. "Fair shift change penalization scheme for nurse rescheduling problems," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1121-1135.

    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:1:d:10.1007_s10951-022-00752-8. 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.