Round Robin Tournament Scheduling

14 teams, 2 divisions, 10 rounds

Zbig · 3 · 3427

Zbig

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on: October 07, 2014, 08:05:44 AM
I am trying to develop a curling schedule for 14 teams that will be in two divisions of 7 each. Each team plays all the teams in its division and 4 from the other division.

We have 10 rounds available and 7 venues (actually 4, but we play back-to-back on them, 4 games, then 3 games). It's an early draw for the 4 games, then a late draw for the other 3.

I know I can get the 6 divisional games for each team with a 7 team round robin, but how can I get the other 4 cross-divisional games after that?

If I choose to generate a 14 team partial round-robin, how can I make sure that each team will play all the teams in its division and 4 from the other?

Games also have to be balanced between early draw and late draw.

Thanks in advance. :)


Ian Wakeling

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Reply #1 on: October 07, 2014, 01:07:55 PM
You could take any four rows (or any 4 columns as it is symmetric) from the following schedule for the cross-divisional games.

(A1 B1) (A7 B3) (A6 B5) (A5 B7) (A4 B2) (A3 B4) (A2 B6)
(A3 B7) (A2 B2) (A1 B4) (A7 B6) (A6 B1) (A5 B3) (A4 B5)
(A5 B6) (A4 B1) (A3 B3) (A2 B5) (A1 B7) (A7 B2) (A6 B4)
(A7 B5) (A6 B7) (A5 B2) (A4 B4) (A3 B6) (A2 B1) (A1 B3)
(A2 B4) (A1 B6) (A7 B1) (A6 B3) (A5 B5) (A4 B7) (A3 B2)
(A4 B3) (A3 B5) (A2 B7) (A1 B2) (A7 B4) (A6 B6) (A5 B1)
(A6 B2) (A5 B4) (A4 B6) (A3 B1) (A2 B3) (A1 B5) (A7 B7)

I think it should help, but it might still be difficult to balance early and late.


Zbig

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Reply #2 on: October 07, 2014, 06:54:22 PM
Thanks! I will try that.