Round Robin Tournament Scheduling

Station Challenge Round Robins

adrianhgh · 4 · 4219

adrianhgh

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on: September 10, 2012, 10:43:12 PM
Hi all. Need help with this round robin.
I have 8 teams. (Red 1, Red 2, Blue 1, Blue 2, Green 1, Green 2, Yellow 1, Yellow 2).
I have 4 stations. (Station A, Station B, Station C, Station D)

1) Can I have a round robin where every team plays with different opponents for 4 rounds.
2) And teams of the same color do not play against each other.
3) Teams do not play the same station.
4) Lastly, groups get to play with teams from 3 different colors.

Would appreciate any help! Thank you very much


Ian Wakeling

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Reply #1 on: September 12, 2012, 07:16:14 AM
Sorry, I can't find a solution to this.  I can get properties 2, 3 & 4, but then I am always left with one repeated opponent per player.


adrianhgh

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Reply #2 on: September 12, 2012, 09:46:59 PM
Ian, thank you so much for your time.
Can you provide with the schedule that fulfill properties 2,3, and 4?
I can compromise property 1 if property 4 is fulfilled.
Than you very much!


Ian Wakeling

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Reply #3 on: September 13, 2012, 08:11:51 AM
I think this gives you 2, 3 & 4,

(R1 G2)  (B2 Y1)  (G1 Y2)  (R2 B1)
(B1 Y2)  (G2 R1)  (Y1 R2)  (B2 G1)
(G1 R2)  (Y2 B1)  (R1 B2)  (G2 Y1)
(Y1 B2)  (R2 G1)  (B1 G2)  (Y2 R1)

I was imagining rows are the rounds and columns the stations, but it should work the other way around too.

Ian.