IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v218y2014i1p237-24710.1007-s10479-012-1161-y.html
   My bibliography  Save this article

A 2.75-approximation algorithm for the unconstrained traveling tournament problem

Author

Listed:
  • Shinji Imahori
  • Tomomi Matsui
  • Ryuhei Miyashiro

Abstract

A 2.75-approximation algorithm is proposed for the unconstrained traveling tournament problem, which is a variant of the traveling tournament problem. For the unconstrained traveling tournament problem, this is the first proposal of an approximation algorithm with a constant approximation ratio. In addition, the proposed algorithm yields a solution that meets both the no-repeater and mirrored constraints. Computational experiments show that the algorithm generates solutions of good quality. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • Shinji Imahori & Tomomi Matsui & Ryuhei Miyashiro, 2014. "A 2.75-approximation algorithm for the unconstrained traveling tournament problem," Annals of Operations Research, Springer, vol. 218(1), pages 237-247, July.
  • Handle: RePEc:spr:annopr:v:218:y:2014:i:1:p:237-247:10.1007/s10479-012-1161-y
    DOI: 10.1007/s10479-012-1161-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-012-1161-y
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10479-012-1161-y?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. Ryuhei Miyashiro & Tomomi Matsui & Shinji Imahori, 2012. "An approximation algorithm for the traveling tournament problem," Annals of Operations Research, Springer, vol. 194(1), pages 317-324, April.
    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. Clemens Thielen & Stephan Westphal, 2012. "Approximation algorithms for TTP(2)," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(1), pages 1-20, August.
    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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Hoshino, Richard & Kawarabayashi, Ken-ichi, 2011. "A multi-round generalization of the traveling tournament problem and its application to Japanese baseball," European Journal of Operational Research, Elsevier, vol. 215(2), pages 481-497, December.
    9. 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.
    10. Bender Marco & Westphal Stephan, 2016. "A combined approximation for the traveling tournament problem and the traveling umpire problem," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 12(3), pages 139-149, September.
    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. Alireza Tajbakhsh & Kourosh Eshghi & Azam Shamsi, 2012. "A hybrid PSO-SA algorithm for the travelling tournament problem," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(1), pages 2-25.
    13. Stephan Westphal, 2014. "Scheduling the German Basketball League," Interfaces, INFORMS, vol. 44(5), pages 498-508, October.
    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. Chen Cohen & Ishay Rabi & Aner Sela, 2023. "Optimal seedings in interdependent contests," Annals of Operations Research, Springer, vol. 328(2), pages 1263-1285, September.
    16. Yangyang Chen & Feng Yan & Xavier Lagrange, 2017. "Performance analysis of cellular networks with mobile relays under different modes," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 66(2), pages 217-231, October.
    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. Lü, Zhipeng & Hao, Jin-Kao, 2010. "Adaptive Tabu Search for course timetabling," European Journal of Operational Research, Elsevier, vol. 200(1), pages 235-244, January.
    20. Di Mattia, Alessandro & Krumer, Alex, 2023. "Fewer teams, more games, larger attendance? Evidence from the structural change in basketball's EuroLeague," European Journal of Operational Research, Elsevier, vol. 309(1), pages 359-370.

    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:218:y:2014:i:1:p:237-247:10.1007/s10479-012-1161-y. 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.