Round Robin Tournament Scheduling

10 Team League, 4 time slots

Ben.Hewitt · 2 · 1060

Ben.Hewitt

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on: January 02, 2024, 10:57:27 PM
Hello!

I apologise if this has been answered already, I've been searching but couldn't find anything that matched my request.

I am looking to make a 10 Team Netball League, with 14 rounds. Obviously not every team can play each other twice, so long as they all play once is fine.

We can only offer 4 timeslots, so 2 byes a week, as many of these posts also have. However, I would prefer not to have teams on back to back byes, preferably 3 week minimum gaps between byes at all times

is this possible?

cheers,

Ben


Ian Wakeling

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Reply #1 on: January 06, 2024, 10:38:21 AM
Hi Ben,

I think the schedule below is about the best that can be done in terms of bye separation, if every team is to play each other team exactly once.

      TS1    TS2    TS3    TS4        byes
  ( 8 10) ( 7  4) ( 5  3) ( 6  2)    [1  9]
  ( 9  6) ( 8  5) ( 1  4) ( 7  3)    [2 10]
  (10  7) ( 9  1) ( 2  5) ( 8  4)    [3  6]
  ( 6  8) (10  2) ( 3  1) ( 9  5)    [4  7]
  ( 7  9) ( 6  3) ( 4  2) (10  1)    [5  8]

  ( 3  4) ( 7  5) ( 6 10) ( 8  2)    [1  9]
  ( 4  5) ( 8  1) ( 7  6) ( 9  3)    [2 10]
  ( 5  1) ( 9  2) ( 8  7) (10  4)    [3  6]
  ( 1  2) (10  3) ( 9  8) ( 6  5)    [4  7]
  ( 2  3) ( 6  4) (10  9) ( 7  1)    [5  8]

  ( 2  7) ( 3  8) ( 4  9) ( 5 10)    [1  6]
  ( 1  6)

I think you could use this as the basis of your league and then add an extra 2 and three-quarter rounds to get you to 14 weeks.  Hope that helps,

Ian