Skip to main content

Abstract

Many sports fans invest a great deal of time into watching and analyzing the performance of their favourite team. However, the tools at their disposal are primarily heuristic or based on folk wisdom. This paper provides a concrete mechanism for calculating the minimum number of points needed to guarantee a playoff spot in the National Hockey League (NHL). Along with determining how many games need to be won to guarantee a playoff spot comes the notion of “must win” games. Our method can identify those games where, if a team loses, they no longer control their own playoff destiny. As a side effect of this, we can also identify when teams get lucky and still make the playoffs even though another team could have eliminated them.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Russell, T., van Beek, P.: Mathematically clinching a playoff spot in the NHL and the effect of scoring systems. In: Bergler, S. (ed.) Canadian AI. LNCS, vol. 5032, pp. 234–245. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  2. Ribeiro, C.C., Urrutia, S.: An application of integer programming to playoff elimination in football championships. International Transactions in Operational Research 12, 375–386 (2005)

    Article  MathSciNet  Google Scholar 

  3. Adler, I., Erera, A.L., Hochbaum, D.S., Olinick, E.V.: Baseball, optimization and the world wide web. Interfaces 32, 12–22 (2002)

    Article  Google Scholar 

  4. Robinson, L.W.: Baseball playoff eliminations: an application of linear programming. Operations Research Letters 10, 67–74 (1991)

    Article  MathSciNet  Google Scholar 

  5. Gusfield, D., Martel, C.E.: The structure and complexity of sports elimination numbers. Algorithmica 32, 73–86 (2002)

    Article  MathSciNet  Google Scholar 

  6. Wayne, K.D.: A new property and a faster algorithm for baseball elimination. SIAM Journal on Discrete Mathematics 14, 223–229 (2001)

    Article  MathSciNet  Google Scholar 

  7. Brown, J.R.: The sharing problem. Operations Research 27, 324–340 (1979)

    Article  MathSciNet  Google Scholar 

  8. Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows: Theory, Algorithms and Applications. Prentice-Hall, Englewood Cliffs (1993)

    MATH  Google Scholar 

  9. Schwartz, B.: Possible winners in partially completed tournaments. SIAM Review 8, 302–308 (1966)

    Article  Google Scholar 

  10. Maher, M., Narodytska, N., Quimper, C.G., Walsh, T.: Flow-based propagators for the sequence and related global constraints. In: Proceedings of the 14th International Conference on Principles and Practice of Constraint Programming (2008)

    Google Scholar 

  11. Siek, J., Lee, L.Q., Lumsdaine, A.: Boost Graph Library: User Guide and Reference Manual. Addison-Wesley, Reading (2001)

    Google Scholar 

  12. ILOG S.A.: ILOG Solver 4.2 user’s manual (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Russell, T., van Beek, P. (2009). Determining the Number of Games Needed to Guarantee an NHL Playoff Spot. In: van Hoeve, WJ., Hooker, J.N. (eds) Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems. CPAIOR 2009. Lecture Notes in Computer Science, vol 5547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01929-6_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01929-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01928-9

  • Online ISBN: 978-3-642-01929-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics