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Seminar Details

The Social Golfer Problem (and other Scheduling Problems)

  • Start Date: February 28, 2024
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Aurora Hiveley - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Event Additional Info: <p>See:&nbsp;<a href="https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html">https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    There are 32 golfers who play golf in groups of 4 once a week. We want to create a schedule for these golfers such that no two golfers play in the same group more than once. How many weeks can we schedule these golfers for? There are a number of similar optimization problems in combinatorics and design theory (for example Kirkman's schoolgirl problem), but these are often computationally challenging. This talk will give a bird's eye view of a number of similar scheduling problems, discussing what is known about each and what open questions still remain.