IDEAS home Printed from https://ideas.repec.org/a/bpj/jqsprt/v15y2019i1p27-40n4.html
   My bibliography  Save this article

A mathematical optimization framework for expansion draft decision making and analysis

Author

Listed:
  • Booth Kyle E. C.
  • Chan Timothy C. Y.
  • Shalaby Yusuf

    (Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada)

Abstract

In this paper, we present and analyze a mathematical programming approach to expansion draft optimization in the context of the 2017 NHL expansion draft involving the Vegas Golden Knights, noting that this approach can be generalized to future NHL expansions and to those in other sports leagues. In particular, we present a novel mathematical optimization approach, consisting of two models, to optimize expansion draft protection and selection decisions made by the various teams. We use this approach to investigate a number of expansion draft scenarios, including the impact of “collaboration” between existing teams, the trade-off between team performance and salary cap flexibility, as well as opportunities for Vegas to take advantage of side agreements in a “leverage” experiment. Finally, we compare the output of our approach to what actually happened in the expansion draft, noting both similarities and discrepancies between our solutions and the actual outcomes. Overall, we believe our framework serves as a promising foundation for future expansion draft research and decision-making in hockey and in other sports.

Suggested Citation

  • Booth Kyle E. C. & Chan Timothy C. Y. & Shalaby Yusuf, 2019. "A mathematical optimization framework for expansion draft decision making and analysis," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 15(1), pages 27-40, March.
    • Handle: RePEc:bpj:jqsprt:v:15:y:2019:i:1:p:27-40:n:4
    DOI: 10.1515/jqas-2018-0024
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/jqas-2018-0024
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/jqas-2018-0024?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roman Vavrek, 2021. "An Analysis of Usage of a Multi-Criteria Approach in an Athlete Evaluation: An Evidence of NHL Attackers," Mathematics, MDPI, vol. 9(12), pages 1-22, June.
    2. Smith Zachary J. & Bickel J. Eric, 2023. "A roster construction decision tool for MLS expansion teams," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 19(1), pages 1-14, March.

    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:bpj:jqsprt:v:15:y:2019:i:1:p:27-40:n:4. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.