Round Robin Tournament Scheduling

Round Robin for 12 players on 2 courts

RPillai · 5 · 1616

RPillai

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on: July 25, 2023, 06:01:32 PM
I need help with a round robin for 12 players on 2 courts and with a player playing with everyone else and not repeated as a partner.
Basically 11 rounds, I believe.
We can tackle the additional requirement maybe later, which is, we have 2 courts, one clay and one hard. To have them play equally on those courts.
Really appreciate your help, Ian. 
Thanks
Raj


Ian Wakeling

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Reply #1 on: July 26, 2023, 08:39:26 AM
Raj,

The 12 player whist schedule here can be rearranged for 2 courts/tables.  Remove (2 8 v 3 6) & (9 5 v 10 1) to a new round, do the same with (3 9 v 4 7) & (10 6 v 11 2), and keep going until the 5th new round (6 1 v 7 10) & (2 9 v 3 5), finally remove any game from round 11 to a new short round.  This gives 16 rounds of 2 games and 1 round of 1 game.  It should be possible to switch around the games in each new round to give reasonably good balance across the two types of court.

Hope that helps,

Ian


RPillai

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Reply #2 on: July 26, 2023, 03:48:38 PM
That's great, Ian...Thank you so much...
Your Table 3 is what I am calling my bench when players 9 thru 12 are not playing when 8 others are playing.
Looking at your sheet, I see Player #5 is sitting out consecutively in Round 1 and Round 2. I would like to see the people on the bench(Table 3) to be playing in the next round, if possible.
Could you please share with me how that can be done?
Thanks Ian...very helpful!
Raj


Ian Wakeling

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Reply #3 on: July 29, 2023, 05:56:49 AM
Raj,

I don't think you can treat table 3 as the bench because player 12 will never sit out, or in other words what it left when you delete table 3 is far from a balanced doubles schedule.  I am able to search for a schedule where everyone partners everyone else exactly once, and it comes up with the following which may be of some help.

(D G v C E) (H J v F L)
(I J v A B) (D F v H K)
(B H v A E) (C I v G L)
(A K v F G) (D E v J L)
(C G v F H) (B I v D K)
(E H v A L) (G J v B F)
(E J v C K) (A D v F I)
(C H v I K) (E L v B G)
(A J v C D) (I L v F K)
(G I v H L) (C F v B E)
(D I v B L) (A G v J K)
(E F v B K) (D H v C J)
(B J v C L) (E G v A I)
(A F v D L) (H I v E K)
(D J v G K) (A H v B C)
(E I v F J) (K L v A C)
(B D v G H) (---------)

It has the extra properties you asked for, players are 5 or 6 times on each court, and those on the bench always play in the next round.  The opposition pairs are not balanced - there are 7 pairs who oppose three times.


RPillai

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Reply #4 on: July 31, 2023, 02:43:20 PM
Tremendous, Ian...
Let me try it out.
Thanks for your help.
Raj