Round Robin Tournament Scheduling
Schedules - You must register to Post and Download => Requests => Topic started by: bu08usc11 on December 10, 2022, 06:29:27 PM
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Hi Everyone,
I have been trying to figure out how to make this format work and I think it's just something my brain can't put together the right way.
Here is the scenario:
9 Teams, 3 Teams per Round (a Threesome, essentially), 6 Rounds.
Here is the catch, the Teams in a given round are assigned to be Team 1, Team 2, Team 3 and I need every team to be Team 1 twice, Team 2 twice, and Team 3 twice (think everyone playing offense twice, defense twice, and (insert third option) twice).
I need to set it up where no one plays anyone 3 times in those 6 rounds AND where they do not play the same Team as the same Team position (e.g. Team A cannot play Team B as the same Team1/Team2 matchup) twice.
This is what I have now but it has 2 3x matchups which I am trying to avoid while keeping the 2x Team 1, 2x Team 2, 2x Team 3 requirement and the not seeing same Team Letter as same Team 1/2/3 side. The below table is by round (6 rounds) and ordered left to right Team 1, 2, 3.
Team 1/Team 2/Team 3
F A C
G B H
E D I
A E B
H F D
C I G
I H A
F G E
B C D
C E H
B I F
D G A
H D B
I A E
G C F
A F G
E H C
D B I
A - B C D E E F F G G H I I
B - A C D D D E F G H H I I - 3D
C - A B D E E F F G G H H I
D - A B B B C E F G H H I I - 3B
E - A A B C C D F G H H I I
F - A A B C C D E G G G H I - 3G
G - A A B C C D E F F F H I - 3F
H - A B B C C D D E E F G I
I - A A B B C D D E F F G H
Any help would be wonderful in adjusting this setup.
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I haven't any software to try to solve this, but doing it by hand I can come close. They key I think is choosing the first 4 rounds so that every pair of team play together exactly once, then the problem reduces to finding an additional 2 rounds. This is what I have:
8 7 1
9 3 6
5 2 4
2 8 3
4 9 7
1 6 5
2 1 9
6 4 8
3 5 7
7 6 2
5 8 9
4 3 1
1 4 2
8 7 5
3 9 6
9 5 4
6 1 8
7 2 3
It meets your critera except that pairs (6,8) & (7,8) play twice in the same columns - is that close enough?