Round Robin Tournament Scheduling

Please help!

kjgrossman · 9 · 452

kjgrossman

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on: June 27, 2022, 12:43:30 AM
Hi,
I am a new HS volleyball coach and I am running my first VB camp.  I want to have the girls playing lots of matches with various team sizes.  I was hoping you could help me with the various match ups.

64 players on 5 courts playing doubles


32 players on 3 courts playing doubles
32 players on 3 courts playing triples

31 players on 3 courts playing doubles
31 players on 3 courts playing triples


Any help you can give would be sooooo great!!  I had a website I used a few years ago and it is no longer online and I waited till the last minute thinking I had a resource.  My camp starts Tues. 6/28. Is there anyway you could help me by then? Thank you for your time!


Ian Wakeling

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Reply #1 on: June 27, 2022, 04:01:22 AM
To me it seems that you will have way too many players sitting around doing nothing.  Taking 32 players and 3 courts of doubles as an example, you could play 8 rounds as follows:

    Court 1      Court 2      Court 3
  (32 16 11 26) (30  6 23 22) (15  1 19  7)
  (25  9 12 27) (31  7 24 23) (16  2 20  8)
  (26 10 13 28) (32  8 17 24) ( 9  3 21  1)
  (27 11 14 29) (25  1 18 17) (10  4 22  2)
  (28 12 15 30) (26  2 19 18) (11  5 23  3)
  (29 13 16 31) (27  3 20 19) (12  6 24  4)
  (30 14  9 32) (28  4 21 20) (13  7 17  5)
  (31 15 10 25) (29  5 22 21) (14  8 18  6)

Here no two players appear on court together twice, so they are free to split into two-vs-two any way you like. There will be 20 players with a bye in each round, and any one player has 3 games and 5 byes.

Can you state how many rounds you will be able to play?  Are there more than 5 courts available?


kjgrossman

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Reply #2 on: June 27, 2022, 09:20:42 AM
Ahhh...yes I did not do a very good job thinking this through in my description. 

I have 5 nets but because they are playing only on half the court I actually have 10 courts available for the group of 64 and 6 courts available for the group of 31 and 32.  After reading your reply you are probably correct and to prevent too many kids from sitting out in the group of 64 lets change that to groups of 3's playing on 10 courts.  Does that sound like a better idea?  

Thank you so much for your help!!


Ian Wakeling

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Reply #3 on: June 27, 2022, 09:54:59 AM
Approximately how many rounds do you think you can play?  I need to have some idea.

Is the size of 64 player group absolutely fixed?  I ask as if you have 10 courts with 6 players per court, then a schedule for 60 players is obviously best.


kjgrossman

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Reply #4 on: June 27, 2022, 02:29:57 PM
Okay, for my group of 64 I am just going to play 3's and I got that figured out.  So, what I need is a Beijing's doubles schedule for 31 players on 6 courts for 30 rounds and 
33  players Beijings doubles  on 6 courts for 30 rounds.  Is that do able?  THANK YOU SO MUCH!!


Ian Wakeling

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Reply #5 on: June 28, 2022, 03:32:48 AM
Here is a doubles schedule for 31 players, 6 courts and 31 rounds, all the partnerships are different, players oppose each other once or twice (if you do play the last round it will be balanced in the sense that everyone has exactly 7 byes and the same number of games).  I don't know what you mean by 'Beijing' doubles, so hope that's not something important.

    Court 1        Court 2        Court 3          Court 4        Court 5        Court 6                BYES
 ( 1 19 v 30 23) (24  9 v 12 14) ( 6 11 v  5 27) ( 7 26 v  8  2) (18  4 v 21 10) (28 20 v 16 13)  (25 29 15 17  3 31 22)
 ( 2 20 v 31 24) (25 10 v 13 15) ( 7 12 v  6 28) ( 8 27 v  9  3) (19  5 v 22 11) (29 21 v 17 14)  (26 30 16 18  4  1 23)
 ( 3 21 v  1 25) (26 11 v 14 16) ( 8 13 v  7 29) ( 9 28 v 10  4) (20  6 v 23 12) (30 22 v 18 15)  (27 31 17 19  5  2 24)
 ( 4 22 v  2 26) (27 12 v 15 17) ( 9 14 v  8 30) (10 29 v 11  5) (21  7 v 24 13) (31 23 v 19 16)  (28  1 18 20  6  3 25)
 ( 5 23 v  3 27) (28 13 v 16 18) (10 15 v  9 31) (11 30 v 12  6) (22  8 v 25 14) ( 1 24 v 20 17)  (29  2 19 21  7  4 26)
 ( 6 24 v  4 28) (29 14 v 17 19) (11 16 v 10  1) (12 31 v 13  7) (23  9 v 26 15) ( 2 25 v 21 18)  (30  3 20 22  8  5 27)
 ( 7 25 v  5 29) (30 15 v 18 20) (12 17 v 11  2) (13  1 v 14  8) (24 10 v 27 16) ( 3 26 v 22 19)  (31  4 21 23  9  6 28)
 ( 8 26 v  6 30) (31 16 v 19 21) (13 18 v 12  3) (14  2 v 15  9) (25 11 v 28 17) ( 4 27 v 23 20)  ( 1  5 22 24 10  7 29)
 ( 9 27 v  7 31) ( 1 17 v 20 22) (14 19 v 13  4) (15  3 v 16 10) (26 12 v 29 18) ( 5 28 v 24 21)  ( 2  6 23 25 11  8 30)
 (10 28 v  8  1) ( 2 18 v 21 23) (15 20 v 14  5) (16  4 v 17 11) (27 13 v 30 19) ( 6 29 v 25 22)  ( 3  7 24 26 12  9 31)
 (11 29 v  9  2) ( 3 19 v 22 24) (16 21 v 15  6) (17  5 v 18 12) (28 14 v 31 20) ( 7 30 v 26 23)  ( 4  8 25 27 13 10  1)
 (12 30 v 10  3) ( 4 20 v 23 25) (17 22 v 16  7) (18  6 v 19 13) (29 15 v  1 21) ( 8 31 v 27 24)  ( 5  9 26 28 14 11  2)
 (13 31 v 11  4) ( 5 21 v 24 26) (18 23 v 17  8) (19  7 v 20 14) (30 16 v  2 22) ( 9  1 v 28 25)  ( 6 10 27 29 15 12  3)
 (14  1 v 12  5) ( 6 22 v 25 27) (19 24 v 18  9) (20  8 v 21 15) (31 17 v  3 23) (10  2 v 29 26)  ( 7 11 28 30 16 13  4)
 (15  2 v 13  6) ( 7 23 v 26 28) (20 25 v 19 10) (21  9 v 22 16) ( 1 18 v  4 24) (11  3 v 30 27)  ( 8 12 29 31 17 14  5)
 (16  3 v 14  7) ( 8 24 v 27 29) (21 26 v 20 11) (22 10 v 23 17) ( 2 19 v  5 25) (12  4 v 31 28)  ( 9 13 30  1 18 15  6)
 (17  4 v 15  8) ( 9 25 v 28 30) (22 27 v 21 12) (23 11 v 24 18) ( 3 20 v  6 26) (13  5 v  1 29)  (10 14 31  2 19 16  7)
 (18  5 v 16  9) (10 26 v 29 31) (23 28 v 22 13) (24 12 v 25 19) ( 4 21 v  7 27) (14  6 v  2 30)  (11 15  1  3 20 17  8)
 (19  6 v 17 10) (11 27 v 30  1) (24 29 v 23 14) (25 13 v 26 20) ( 5 22 v  8 28) (15  7 v  3 31)  (12 16  2  4 21 18  9)
 (20  7 v 18 11) (12 28 v 31  2) (25 30 v 24 15) (26 14 v 27 21) ( 6 23 v  9 29) (16  8 v  4  1)  (13 17  3  5 22 19 10)
 (21  8 v 19 12) (13 29 v  1  3) (26 31 v 25 16) (27 15 v 28 22) ( 7 24 v 10 30) (17  9 v  5  2)  (14 18  4  6 23 20 11)
 (22  9 v 20 13) (14 30 v  2  4) (27  1 v 26 17) (28 16 v 29 23) ( 8 25 v 11 31) (18 10 v  6  3)  (15 19  5  7 24 21 12)
 (23 10 v 21 14) (15 31 v  3  5) (28  2 v 27 18) (29 17 v 30 24) ( 9 26 v 12  1) (19 11 v  7  4)  (16 20  6  8 25 22 13)
 (24 11 v 22 15) (16  1 v  4  6) (29  3 v 28 19) (30 18 v 31 25) (10 27 v 13  2) (20 12 v  8  5)  (17 21  7  9 26 23 14)
 (25 12 v 23 16) (17  2 v  5  7) (30  4 v 29 20) (31 19 v  1 26) (11 28 v 14  3) (21 13 v  9  6)  (18 22  8 10 27 24 15)
 (26 13 v 24 17) (18  3 v  6  8) (31  5 v 30 21) ( 1 20 v  2 27) (12 29 v 15  4) (22 14 v 10  7)  (19 23  9 11 28 25 16)
 (27 14 v 25 18) (19  4 v  7  9) ( 1  6 v 31 22) ( 2 21 v  3 28) (13 30 v 16  5) (23 15 v 11  8)  (20 24 10 12 29 26 17)
 (28 15 v 26 19) (20  5 v  8 10) ( 2  7 v  1 23) ( 3 22 v  4 29) (14 31 v 17  6) (24 16 v 12  9)  (21 25 11 13 30 27 18)
 (29 16 v 27 20) (21  6 v  9 11) ( 3  8 v  2 24) ( 4 23 v  5 30) (15  1 v 18  7) (25 17 v 13 10)  (22 26 12 14 31 28 19)
 (30 17 v 28 21) (22  7 v 10 12) ( 4  9 v  3 25) ( 5 24 v  6 31) (16  2 v 19  8) (26 18 v 14 11)  (23 27 13 15  1 29 20)
 (31 18 v 29 22) (23  8 v 11 13) ( 5 10 v  4 26) ( 6 25 v  7  1) (17  3 v 20  9) (27 19 v 15 12)  (24 28 14 16  2 30 21)


Ian Wakeling

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Reply #6 on: June 28, 2022, 04:02:35 AM
Here is a schedule with similar properties to the one above for 33 players , 6 courts and 30 rounds.  For these numbers the byes can't be balanced and so players 10,11,12,22,23,24 have only 21 games, while the other players have 22 games.

        Court 1        Court 2        Court 3        Court 4        Court 5        Court 6                  BYES
  (11  4 v  9 22) (32  7 v 15 26) (33 14 v  5 21) (27 25 v 16  6) (28 30 v 31 17) ( 1 29 v 18 20)  (12 19  8 13 23 10  2 24  3)
  (12  5 v  7 23) (33  8 v 13 27) (31 15 v  6 19) (25 26 v 17  4) (29 28 v 32 18) ( 2 30 v 16 21)  (10 20  9 14 24 11  3 22  1)
  (10  6 v  8 24) (31  9 v 14 25) (32 13 v  4 20) (26 27 v 18  5) (30 29 v 33 16) ( 3 28 v 17 19)  (11 21  7 15 22 12  1 23  2)
  (25  7 v 16 11) (15 24 v 21  3) (22 12 v 32 30) (13  5 v 17  6) (19 33 v 29  4) ( 1  2 v 28  8)  (26 27 31 23 14  9 10 20 18)
  (26  8 v 17 12) (13 22 v 19  1) (23 10 v 33 28) (14  6 v 18  4) (20 31 v 30  5) ( 2  3 v 29  9)  (27 25 32 24 15  7 11 21 16)
  (27  9 v 18 10) (14 23 v 20  2) (24 11 v 31 29) (15  4 v 16  5) (21 32 v 28  6) ( 3  1 v 30  7)  (25 26 33 22 13  8 12 19 17)
  (11 12 v 15 18) (32 22 v 33  2) (24 29 v  5 14) ( 1 31 v  8 27) (21 25 v  7 19) ( 6 13 v  9  3)  (26 23 28 10  4 17 30 20 16)
  (12 10 v 13 16) (33 23 v 31  3) (22 30 v  6 15) ( 2 32 v  9 25) (19 26 v  8 20) ( 4 14 v  7  1)  (27 24 29 11  5 18 28 21 17)
  (10 11 v 14 17) (31 24 v 32  1) (23 28 v  4 13) ( 3 33 v  7 26) (20 27 v  9 21) ( 5 15 v  8  2)  (25 22 30 12  6 16 29 19 18)
  (30 26 v  4 24) ( 8 23 v 11 21) (27  3 v 28 25) (22 15 v  2 13) (19 14 v 18 33) (31  5 v  7  6)  (12  9 10 17  1 20 32 29 16)
  (28 27 v  5 22) ( 9 24 v 12 19) (25  1 v 29 26) (23 13 v  3 14) (20 15 v 16 31) (32  6 v  8  4)  (10  7 11 18  2 21 33 30 17)
  (29 25 v  6 23) ( 7 22 v 10 20) (26  2 v 30 27) (24 14 v  1 15) (21 13 v 17 32) (33  4 v  9  5)  (11  8 12 16  3 19 31 28 18)
  (18 23 v 25 20) (10 17 v 12 29) ( 5  6 v 22 21) (14  2 v 28 26) ( 1 33 v 11 32) ( 7 24 v  9 30)  (16 13  3  4 31 15  8 27 19)
  (16 24 v 26 21) (11 18 v 10 30) ( 6  4 v 23 19) (15  3 v 29 27) ( 2 31 v 12 33) ( 8 22 v  7 28)  (17 14  1  5 32 13  9 25 20)
  (17 22 v 27 19) (12 16 v 11 28) ( 4  5 v 24 20) (13  1 v 30 25) ( 3 32 v 10 31) ( 9 23 v  8 29)  (18 15  2  6 33 14  7 26 21)
  (29 21 v 26 22) (33 15 v 18 25) (19 10 v  8 30) ( 7 27 v  4 16) (17  2 v 23  1) (12  6 v 14 20)  ( 9  3 24  5 32 11 31 13 28)
  (30 19 v 27 23) (31 13 v 16 26) (20 11 v  9 28) ( 8 25 v  5 17) (18  3 v 24  2) (10  4 v 15 21)  ( 7  1 22  6 33 12 32 14 29)
  (28 20 v 25 24) (32 14 v 17 27) (21 12 v  7 29) ( 9 26 v  6 18) (16  1 v 22  3) (11  5 v 13 19)  ( 8  2 23  4 31 10 33 15 30)
  (30  4 v 29  2) (13 26 v  9  8) ( 7 20 v 33 17) (11  1 v 32 27) (14 18 v 16 22) ( 3 12 v 21 19)  (10 31  5 24 15 25 28 23  6)
  (28  5 v 30  3) (14 27 v  7  9) ( 8 21 v 31 18) (12  2 v 33 25) (15 16 v 17 23) ( 1 10 v 19 20)  (11 32  6 22 13 26 29 24  4)
  (29  6 v 28  1) (15 25 v  8  7) ( 9 19 v 32 16) (10  3 v 31 26) (13 17 v 18 24) ( 2 11 v 20 21)  (12 33  4 23 14 27 30 22  5)
  (24 32 v 23 16) (33 30 v 14  8) (12  1 v 26  6) (31 19 v  7  2) (11 29 v 15 27) (18 28 v 21  4)  (10  9  5 13  3 17 22 20 25)
  (22 33 v 24 17) (31 28 v 15  9) (10  2 v 27  4) (32 20 v  8  3) (12 30 v 13 25) (16 29 v 19  5)  (11  7  6 14  1 18 23 21 26)
  (23 31 v 22 18) (32 29 v 13  7) (11  3 v 25  5) (33 21 v  9  1) (10 28 v 14 26) (17 30 v 20  6)  (12  8  4 15  2 16 24 19 27)
  (16  8 v 14 29) ( 1 21 v 10  5) (24 13 v 25  2) (19 32 v 30 18) (12  9 v 22 23) (11 17 v  4  3)  ( 6 26 28  7 33 31 15 20 27)
  (17  9 v 15 30) ( 2 19 v 11  6) (22 14 v 26  3) (20 33 v 28 16) (10  7 v 23 24) (12 18 v  5  1)  ( 4 27 29  8 31 32 13 21 25)
  (18  7 v 13 28) ( 3 20 v 12  4) (23 15 v 27  1) (21 31 v 29 17) (11  8 v 24 22) (10 16 v  6  2)  ( 5 25 30  9 32 33 14 19 26)
  (11 31 v 14 13) ( 8 12 v  4 28) ( 1 17 v 16  9) (22 10 v 32 25) (27  6 v 33 24) (15 19 v 26 20)  (29 18  3 23 21 30  7  5  2)
  (12 32 v 15 14) ( 9 10 v  5 29) ( 2 18 v 17  7) (23 11 v 33 26) (25  4 v 31 22) (13 20 v 27 21)  (30 16  1 24 19 28  8  6  3)
  (10 33 v 13 15) ( 7 11 v  6 30) ( 3 16 v 18  8) (24 12 v 31 27) (26  5 v 32 23) (14 21 v 25 19)  (28 17  2 22 20 29  9  4  1)
« Last Edit: June 28, 2022, 04:05:22 AM by Ian Wakeling »


kjgrossman

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Reply #7 on: July 29, 2022, 12:57:32 PM
Thank you so much!


kjgrossman

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Reply #8 on: August 13, 2022, 02:04:12 AM
Hi,
The last format you provided was just what I was looking for, it was perfect.  Wondering if you could do the same sort of thing for me again?  This time I have 6 courts and 47 players.  Again I am hoping to have each player play with all other players once like in the most recent schedule you gave me.  I am also needing a second schedule for 6 courts and 35 players.  THANK YOU SO MUCH FOR YOUR HELP!