Round Robin Tournament Scheduling

15 Teams, 10,11,12 rounds in fivesomes

Sifo-Dyas · 5 · 918

Sifo-Dyas

  • Newbie
  • *
    • Posts: 0
on: November 16, 2023, 03:16:55 AM
Hallo I need a Schedule:
15 Teams, five Teams in a Match, No byes and 10,11 or 12 rounds. The Schedule should be as balanced as possible.

Thank you


Ian Wakeling

  • Forum Moderator
  • God Member
  • *****
    • Posts: 1141
Reply #1 on: November 16, 2023, 12:23:55 PM
The best schedule I can find is for 12 rounds - for example:

  (13  8  2 10  1) ( 5 15  4 14 11) ( 6  7  3 12  9)
  (14  9  3 11  2) ( 6 13  5 15 12) ( 4  8  1 10  7)
  (15  7  1 12  3) ( 4 14  6 13 10) ( 5  9  2 11  8)
  (10  6 11  3  8) ( 7 15 13  5  9) ( 4 12  1 14  2)
  (11  4 12  1  9) ( 8 13 14  6  7) ( 5 10  2 15  3)
  (12  5 10  2  7) ( 9 14 15  4  8) ( 6 11  3 13  1)
  (11  7  6  4  2) (14  1  5  3  8) (15 10 13  9 12)
  (12  8  4  5  3) (15  2  6  1  9) (13 11 14  7 10)
  (10  9  5  6  1) (13  3  4  2  7) (14 12 15  8 11)
  (10 11  1  7 15) ( 5 14 12  2  6) ( 4  8  3 13  9)
  (11 12  2  8 13) ( 6 15 10  3  4) ( 5  9  1 14  7)
  (12 10  3  9 14) ( 4 13 11  1  5) ( 6  7  2 15  8)

above pairs of teams are in the same match together either 3 or 4 times.  Hope that works for you.


Sifo-Dyas

  • Newbie
  • *
    • Posts: 0
Reply #2 on: November 16, 2023, 02:47:49 PM
Thank you very much


Sifo-Dyas

  • Newbie
  • *
    • Posts: 0
Reply #3 on: November 18, 2023, 06:37:37 AM
So you have the perfectly balanced Schedule?

Everybody ist paired with everybody 4 Times in 14 rounds? Thank you


Ian Wakeling

  • Forum Moderator
  • God Member
  • *****
    • Posts: 1141
Reply #4 on: November 19, 2023, 01:05:40 PM
Unfortunately, 14 perfect rounds is not possible - there is a mathematical proof that it does not exist.  The smallest perfect schedule is with 21 rounds - I can make a schedule if you would like.