Round Robin Tournament Scheduling

20 player golf league with variations

grkboy100 · 2 · 2245

grkboy100

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on: May 24, 2021, 10:06:55 AM


Ian Wakeling

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Reply #1 on: May 25, 2021, 03:46:00 AM
I think the schedule below will work, all the partners are different and each player opposes all the others at least once, and at most twice.  Hopefully you will be able to rearrange the order of the rounds so that the byes coincide with players who are not available in a particular week.

      Time 1        Time 2          Time 3          Time 4            Byes
  (14 13 v  4 19) ( 1  9 v 18 12) ( 3  5 v  8 16) ( 7  2 v  6 17)  [10 11 20 15]
  (15 14 v  5 20) ( 2 10 v 19 13) ( 4  1 v  9 17) ( 8  3 v  7 18)  [ 6 12 16 11]
  (11 15 v  1 16) ( 3  6 v 20 14) ( 5  2 v 10 18) ( 9  4 v  8 19)  [ 7 13 17 12]
  (12 11 v  2 17) ( 4  7 v 16 15) ( 1  3 v  6 19) (10  5 v  9 20)  [ 8 14 18 13]
  (13 12 v  3 18) ( 5  8 v 17 11) ( 2  4 v  7 20) ( 6  1 v 10 16)  [ 9 15 19 14]

  ( 7 17 v 15  9) (18  2 v  4 14) (20 13 v 16 11) ( 1 12 v 10  8)  [19  5  3  6]
  ( 8 18 v 11 10) (19  3 v  5 15) (16 14 v 17 12) ( 2 13 v  6  9)  [20  1  4  7]
  ( 9 19 v 12  6) (20  4 v  1 11) (17 15 v 18 13) ( 3 14 v  7 10)  [16  2  5  8]
  (10 20 v 13  7) (16  5 v  2 12) (18 11 v 19 14) ( 4 15 v  8  6)  [17  3  1  9]
  ( 6 16 v 14  8) (17  1 v  3 13) (19 12 v 20 15) ( 5 11 v  9  7)  [18  4  2 10]

  (14 11 v 10  9) (16  7 v 19 18) ( 5 12 v 13  4) ( 8 20 v  1  2)  [15  3  6 17]
  (15 12 v  6 10) (17  8 v 20 19) ( 1 13 v 14  5) ( 9 16 v  2  3)  [11  4  7 18]
  (11 13 v  7  6) (18  9 v 16 20) ( 2 14 v 15  1) (10 17 v  3  4)  [12  5  8 19]
  (12 14 v  8  7) (19 10 v 17 16) ( 3 15 v 11  2) ( 6 18 v  4  5)  [13  1  9 20]
  (13 15 v  9  8) (20  6 v 18 17) ( 4 11 v 12  3) ( 7 19 v  5  1)  [14  2 10 16]
« Last Edit: May 25, 2021, 03:51:18 AM by Ian Wakeling »