Round Robin Tournament Scheduling

Recent Posts

11
Requests / Blind Draw COED Doubles Tournament
« Last post by AZIMPFER on August 03, 2022, 01:15:17 PM »
Hi Everyone - I am running a "King of the Beach" style sand doubles volleyball tournament every other Friday and have different numbers each time but the ratio of male to female is always the same. 

I'm looking for a simple way to schedule a round robin where the same GENDER cannot be on the same team. (Team 1 = M1 & F1) Each time they play, they play with a different partner, so it's rotating. 

I have 3 courts to work with. Anyone have any suggestions? I am Excel beginner/intermediate savvy - I do not have any formulas on my spreadsheet. I've been doing it manually the last few weeks and my brain hurts. ::)

I typically have 12 males and 12 females and because it's on a Friday evening, I only have time for 6 rounds before I seed them and put them in a tournament bracket with their permanent partner. 

12
Requests / Re: Please help!
« Last post by kjgrossman on July 29, 2022, 12:57:32 PM »
Thank you so much!
13
Requests / Re: Round Robin Tournament with minimum waiting to play
« Last post by Ian Wakeling on July 21, 2022, 12:07:07 PM »
I think this paper by Warut Suksompong might be the sort of thing you are looking for.
14
Requests / Round Robin Tournament with minimum waiting to play
« Last post by BatTodor on July 16, 2022, 07:56:34 AM »
Hi, everybody,
I'm trying to create schedulle for table tennis tournaments.

Pre-requisites:
* 1 venue/table.
* 4-10 players.
* Minimum waitings afrer played match.
* At least 1 missed match between two games for player.
* Balanced intervals between games for each players.

For example, group with 7 players, player who missed first round (as byes), need to play in match 4, not to wait for match 5.

Can you help me?

15
Requests / Re: Round robin Mixer Balanced
« Last post by Ian Wakeling on July 02, 2022, 10:50:09 AM »
Sorry there are too many variants here to consider them all.  It is actually impossible to meet your criteria if the number of players is 21 or more.  For example with 21 players there are 7 who will have only 6 games (the ones with a bye), and those 7 players can only play on court with a maximum of 18 others, so there must be at least two players who they never meet.  For me this makes 20 players the most interesting scenario, and it turns out that it is possible to meet your criteria (all different partners, and on court with each other person at least once). Here is a possible schedule:

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

The schedule has 4 repeated opponent pairs (3 5), (8 9), (13 14), (18 19) which all occur in the 1st & 7th rounds. Finally note that the partnerships are all formed from within two groups, players 1-10, and players 11-20.

[comment added later: 20 players is doubly interesting since it is not possible to meet the "on court with each other at least once" criterion with 19 players.  For 19 players there must be at least two players who have only 5 games (2 byes), and who must have at least three other players who they never meet.]
16
You will need 15 weeks to play all the other teams twice.  For example:

(A B) (D F)
(C E) (A D)
(B D) (A F)
(D E) (C F)
(A C) (B E)
(E F) (C D)
(B F) (A E)
(D E) (B C)
(A E) (C F)
(B F) (A D)
(B C) (E F)
(C D) (A B)
(D F) (C E)
(A C) (B D)
(A F) (B E)
17
6 Team Tennis League schedule for  10 weeks so that each team plays all the others twice.
Schedule 4 teams at a time with 2 byes each week.  
This seem easy but I cant seem to get the spreadsheet to solve this.
HepBil
18
Requests / Round robin Mixer Balanced
« Last post by LindaG on June 29, 2022, 12:30:53 AM »
Looking for RR doubles mixers. We will have 12-26 players show each week for 7 rounds. A player’s partner will be a different person each game and play on court with each person at least once. And byes equal as can be. 
 
12-15 players 3 courts 
16-19 players 4 courts 
20-23 players 5 courts 
24-27 players 6 courts 
19
Requests / Re: Please help!
« Last post by Ian Wakeling 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)
20
Requests / Re: Please help!
« Last post by Ian Wakeling 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)