Round Robin Tournament Scheduling

Doubles RR 10 players, 2 BYE's

kemueller · 4 · 3583

kemueller

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on: August 24, 2009, 06:59:52 PM
New scenario.  Round robin doubles league.  10 players, 2 BYE's per week, 17 week schedule.  Need help wth a schedule.  Thank you!


Ian Wakeling

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Reply #1 on: August 25, 2009, 01:48:48 AM
If you have a look at the recent thread called "please help with tennis round robin", then you should see that this is a similar problem.  Unfortunately the software I used to find that schedule is limited to the balanced situation where everyone plays in the same number of rounds and has the same number of byes.  So the closest I could come to your 17 round schedule would be either 11 weeks or 22 weeks (multiples of 11).  Let me know if you want to see either of those.


kemueller

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Reply #2 on: August 26, 2009, 08:58:40 AM
Thank you.  I would like to look at the 22 week schedule.


Ian Wakeling

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Reply #3 on: August 27, 2009, 02:59:22 AM
I have made a mistake, when I wrote the message above I still had in mind your original posting about 11 players.  If there are only 10 players then the byes can be balanced after every 5 matches.  So I think you will be more interested to see a schedule for 15 players, the closest multiple of 5 to 17.

  (10  8 v 5  4)  ( 3  7 v  2  9)  ( 6  1)
  ( 6  9 v 1  5)  ( 4  8 v  3 10)  ( 7  2)
  ( 7 10 v 2  1)  ( 5  9 v  4  6)  ( 8  3)
  ( 8  6 v 3  2)  ( 1 10 v  5  7)  ( 9  4)
  ( 9  7 v 4  3)  ( 2  6 v  1  8)  (10  5)
  ( 4  7 v 2  5)  ( 1  6 v  9 10)  ( 8  3)
  ( 5  8 v 3  1)  ( 2  7 v 10  6)  ( 9  4)
  ( 1  9 v 4  2)  ( 3  8 v  6  7)  (10  5)
  ( 2 10 v 5  3)  ( 4  9 v  7  8)  ( 6  1)
  ( 3  6 v 1  4)  ( 5 10 v  8  9)  ( 7  2)
  ( 7  3 v 5  1)  ( 8  2 v 10  9)  ( 6  4)
  ( 8  4 v 1  2)  ( 9  3 v  6 10)  ( 7  5)
  ( 9  5 v 2  3)  (10  4 v  7  6)  ( 8  1)
  (10  1 v 3  4)  ( 6  5 v  8  7)  ( 9  2)
  ( 6  2 v 4  5)  ( 7  1 v  9  8)  (10  3)


Above the 10 players have 3 byes and so they play in 12 matches each. There will be 12 partners and 24 opponents for each player.  The schedule is arranged so that each player plays with each other (either as partner or opponent) exactly 4 times each.  Most pairs of players partner only once, and so will play in opposition three times.  The few pairs who partner each other twice, will play in opposition only twice.