Round Robin Tournament Scheduling

Recent Posts

21
Requests / Re: Am I asking for the impossible?
« Last post by Ian Wakeling on October 18, 2024, 04:07:46 AM »
"(So presumably with 10 matches per court - 8 matches per player and two byes per person) ?"

I am confused about the numbers here.  There are 8 byes per round. So for everyone to have the same number of games, there needs to be a multiple of 4 matches per court.  For example 8 matches per court would be two byes per person.  Is that what you want?
22
Requests / Re: Am I asking for the impossible?
« Last post by markyb610 on October 17, 2024, 05:11:37 AM »
Ian,

I should have said this is for doubles (or perhaps it was obvious !).

Other solutions on the web don't seem to provide the goal of as few "duplicates" (partners & opponents) as you have managed so well !

Many thanks
Mark 
23
Requests / Re: Am I asking for the impossible?
« Last post by markyb610 on October 17, 2024, 04:47:25 AM »
Ian,

I can see you've done some fantastic work here. I was looking at your 32 player round robin and it's so nearly what I'm looking for. I can see you rely on there being eight courts.

Would it be possible to generate a six court solution ? (So presumably with 10 matches per court - 8 matches per player and two byes per person) ??

Many thanks
Mark
24
Requests / Re: Doubles schedule for 12 players,
« Last post by Ian Wakeling on October 17, 2024, 03:12:24 AM »
Here is a six round schedule - there are three pairs of players who meet three times (4,7) (5,6) & (9,11), other wise all partnerships are different, and players play against all others once or twice.

( 1  2 v  5 12)  ( 9  6 v 11  8)  (10  4 v  7  3)
(12  2 v 10 11)  ( 5  6 v  3  4)  ( 7  1 v  9  8)
( 9 10 v  6  2)  ( 8 12 v  3  5)  (11  1 v  4  7)
(10 12 v  8  4)  ( 2  5 v  7  6)  ( 9  1 v 11  3)
( 7  9 v  4 12)  (10  6 v  1  5)  (11  2 v  3  8)
( 6  3 v 12  7)  ( 8  2 v  1  4)  ( 5 10 v 11  9)
25
Requests / Re: Doubles schedule for 12 players,
« Last post by MCR426 on October 16, 2024, 08:42:11 AM »
What you are asking is not possible - there needs to be 16 players or more if you want no pair of players to be on court together more than once.

I think the schedule below is the best that you can do.  There are 18 pairs of players who meet twice, and 12 pairs who never play together.

 (12  9 v  1  4)  ( 6  3 v  8 11)  ( 2  5 v 10  7)
 ( 2  4 v  5  6)  ( 3 12 v  7  9)  (10  8 v  1 11)
 ( 8  6 v 10  9)  ( 4 11 v  7  2)  ( 1 12 v  5  3)
 (11  2 v  9  1)  ( 3  8 v  4  5)  (12  7 v  6 10)

Just discovered this schedule and it will work GREAT for me....but can you please add two more rounds?  THANK YOU IN ADVANCE!!
26
Requests / Re: 6 courts with 28 players
« Last post by Ian Wakeling on October 11, 2024, 11:37:57 AM »
See the schedule here. Just throw away any 2 of the 9 rounds.
27
Requests / Re: 6 courts with 28 players
« Last post by LindaG on October 10, 2024, 09:40:56 PM »
I would be interested in 28 players, 7 rounds and 7 courts .
28
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by Ian Wakeling on October 01, 2024, 03:07:53 PM »
Here are some options for 24 players and 6 courts.

24 players 6 courts 5 rounds
( 7 17 v 11  9)  (20 19 v 22 18)  (24 12 v 13 16)  (21  1 v 10  8)  ( 5 15 v  3 14)  ( 4 23 v  2  6)
( 3  4 v 13 18)  (10 17 v 24 23)  (21 12 v 14 20)  ( 8 11 v 16 22)  ( 9  5 v 19  2)  ( 7  1 v  6 15)
(24  8 v  9 14)  (18 15 v 21 23)  ( 3 17 v 19  1)  ( 4  5 v 16 20)  (22 12 v  2  7)  (11 10 v  6 13)
(22 10 v 15  4)  ( 1 24 v  2 18)  (20 11 v  3 23)  ( 6 21 v 16  9)  ( 5 17 v 12  8)  (13 19 v 14  7)
( 1 12 v 23  9)  (11  4 v 24 19)  (10  7 v 16  3)  (15  2 v  8 20)  ( 6 17 v 14 18)  (21 22 v  5 13)

24 players 6 courts 6 rounds (3 pairs of players who meet twice, once as partners, once as opponents)
( 7 24 v  6  9)  (12 20 v  8 10)  (23 17 v  1 11)  (15 14 v 16  4)  ( 3 22 v  5 21)  (18 19 v 13  2)
(22 24 v 14 17)  (11 18 v  4 10)  ( 7  2 v  5 20)  ( 3 12 v 23 19)  ( 6 21 v 15 13)  (16  1 v  9  8)
(12 11 v 16  2)  ( 3 13 v 14  9)  ( 1  7 v 10 22)  (20 15 v 17 19)  (18  8 v 24 21)  ( 4  5 v  6 23)
(10  5 v 13 17)  (22  1 v  6  2)  (16 20 v 23 24)  ( 8 19 v 11 14)  (15  3 v 18  7)  (12 21 v  4  9)
(11  5 v 24 15)  ( 8  2 v  3 17)  (16  6 v 19 10)  ( 4 12 v 13  7)  (21 14 v  1 23)  ( 9 18 v 20 22)
( 4  1 v 24 19)  ( 5 14 v 12 18)  ( 8 23 v 13 22)  (11  6 v 20  3)  ( 2  9 v 15 10)  (21  7 v 16 17)

24 players 6 courts 7 rounds (15 pairs of players who meet twice, once as partners, once as opponents)
(13 10 v  1 17)  (11  2 v  6 20)  ( 5  4 v 21 16)  (15 12 v 19 24)  ( 9 23 v  3 18)  ( 7 14 v 22  8)
( 9 13 v 16 19)  ( 3 24 v 21 20)  ( 4 12 v 14  6)  (15  2 v  1  7)  (18 17 v  5  8)  (11 22 v 10 23)
(16  6 v  7 15)  ( 3  2 v 19  5)  ( 4  9 v  1 11)  (18 24 v 22 13)  (12 21 v  8 23)  (20 14 v 17 10)
( 6 21 v 18  1)  (22 20 v  9 12)  ( 3 11 v 17 14)  (13  8 v 15  5)  ( 7 19 v 10  4)  ( 2 24 v 23 16)
( 1 22 v  3 16)  (10  9 v 24  8)  (12 11 v  5  7)  ( 2 21 v 14 13)  (15 20 v 18  4)  (19  6 v 17 23)
(13 20 v 23  7)  ( 5 24 v  1  6)  ( 3 12 v 10 15)  ( 2 22 v 17  4)  (18  8 v 11 16)  (14 21 v  9 19)
( 6  4 v 13  3)  ( 9 24 v  7 17)  (22 15 v 21 11)  (23 14 v  5 16)  ( 1 19 v 20  8)  (10 12 v  2 18)
29
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by Ian Wakeling on October 01, 2024, 01:27:20 PM »
Hi Nathan,

Thanks for your kind words.

Here are some schedules for 24 players and 4 courts.  The 6 round schedule is fair with 1 bye per player.  If you want 5 rounds, then just delete any one round from this schedule and the 16 players you remove will be the ones that have 3 games rather than 4.

I will look at the schedules with more courts later.

Ian


24 players 4 courts 6 rounds ( 2 byes each or 4 games each)

( 9 15 v 12  4)  ( 8  5 v 14  2)  ( 6  7 v  3 11)  (16 10 v  1 13)
(18  8 v  1 23)  ( 5 17 v 21  7)  ( 6 22 v 20  4)  ( 3 24 v 19  2)
(10 23 v 19 17)  (13 21 v 20  9)  (14 12 v 11 24)  (16 22 v 15 18)
(15  1 v  6  5)  ( 4 13 v  2 11)  (14 10 v  7  9)  (12  8 v 16  3)
(23  5 v 24 20)  ( 6 18 v  2 21)  ( 7  8 v 19  4)  ( 1 17 v  3 22)
(15 17 v 24 13)  (18 14 v 19 20)  (21 22 v 12 10)  (23  9 v 11 16)

24 players 4 courts 7 rounds (players have 2 or 3 byes each)

(23 14 v 12 19)  ( 7  4 v 18 22)  (17  3 v 24 11)  ( 1 16 v 20 13)
(18 10 v 24  2)  ( 5 23 v  6 15)  ( 7  9 v  3 21)  (19  8 v  4 13)
( 9  6 v  1  2)  (20 15 v 11 14)  ( 8  5 v 21 10)  (22 17 v 12 16)
( 6 14 v  3 13)  (12 10 v  4 15)  (21 22 v  1 19)  ( 7  5 v 16 11)
(12  8 v  3  2)  (18  9 v 19 16)  (22 20 v 24  6)  (17 10 v 23 13)
(15  1 v  7 17)  (21  2 v 20  4)  (18 23 v  8 11)  (14  5 v 24  9)
(15 13 v  9 22)  (23  4 v 24  1)  (18 20 v  3  5)  (21  6 v 11 12)

                  Frequency of players in each round
  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
R1 1  0  1  1  0  0  1  0  0  0  1  1  1  1  0  1  1  1  1  1  0  1  1  1
R2 0  1  1  1  1  1  1  1  1  1  0  0  1  0  1  0  0  1  1  0  1  0  1  1
R3 1  1  0  0  1  1  0  1  1  1  1  1  0  1  1  1  1  0  0  1  1  1  0  0
R4 1  0  1  1  1  1  1  0  0  1  1  1  1  1  1  1  0  0  1  0  1  1  0  0
R5 0  1  1  0  0  1  0  1  1  1  0  1  1  0  0  1  1  1  1  1  0  1  1  1
R6 1  1  0  1  1  0  1  1  1  0  1  0  0  1  1  0  1  1  0  1  1  0  1  1
R7 1  0  1  1  1  1  0  0  1  0  1  1  1  0  1  0  0  1  0  1  1  1  1  1

30
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by NTLKnight on September 29, 2024, 03:15:57 PM »
Ian, I really appreciate it, thank you so much!

I spent a few hours populating my spreadsheets using your numbers (for the 20 players, 4 courts versions...5/6/7 game options). You're right, the only version that is "fair" is the 5 game option, where each player gets 1 "bye" (or in the case of this particular tournament structure--where players get ranked based on wins and score differentials--each player "sits" 1 game and plays 4). The only way to get the 6/7 game versions to "work" (where 4/8 players would "sit" twice) would be to use the scoring system (of games won and score differentials) for the first 5 games...and then use game(s) 6 as "Playoffs" before a 7th "Finals" game(s)...but I don't think that's even possible because in order for all 20 players to play their 5 games (and get ranked), the full 7 games would need to be played (as there would be "sitting" by some players starting from game 1), so getting a ranking for all players based on wins/differentials would require all 7 games to be played before seeing which players are ranked highest/lowest.

In summary, I think I will use the 20 PLAYERS • 4 COURTS • 5 GAMES option when needed...and manually figure out a "Playoffs" and "Finals" segment once the "Pool Play" of 5 games has concluded.

Going forward, if time still permits (using your software) to see if a 24 PLAYERS • 4 COURTS • 5/6/7 GAMES format would balance out, I would be very grateful.

Also, now that I can visually see the challenges of having "fair" whist lists with a lower number of courts than what would allow all players to play simultaneously, I believe it should be more straightforward to have a version of these whist lists for the following formats, if and when you have the time! Thank you!

  • 20 PLAYERS (10 TEAMS OF 2) • 5 COURTS • 5/6/7 GAMES • PLAYERS PLAY WITH RANDOM PARTNERS EACH GAME & AGAINST ALL OTHER PLAYERS AS BALANCED AS POSSIBLE.
  • 24 PLAYERS (12 TEAMS OF 2) • 6 COURTS • 5/6/7 GAMES • PLAYERS PLAY WITH RANDOM PARTNERS EACH GAME & AGAINST ALL OTHER PLAYERS AS BALANCED AS POSSIBLE.

(If the 5/6 game options would use the same pairings as the 7 game options, I can omit games 6/7 to get those versions...if that would make it easier for you to populate the numbers.)

Thank you again,
Nathan