Round Robin Tournament Scheduling

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61
Requests / 20 players. Group A and B
« Last post by blascogo on November 25, 2024, 03:56:26 AM »
Hello,

First of all, I would like to thank you for the work you do, which is a great help in organising competitions.

I have been looking for solutions for a tournament of 20 players in which we have two groups of players, group A and group B.  As far as I can see, it is a complex situation, but I am not sure if I have read all the messages about this. The idea is to play in pairs of two and mix the players as much as possible. We would play 4 games each day, leaving 4 players free to act as referees.
What would be the best fixture to ensure that the tournament is fair?

Best regards 


62
Requests / Re: variation on a steiner triple system
« Last post by Ian Wakeling on November 23, 2024, 10:07:08 AM »
I think you are asking for schedules where every pair of players meets at least once in a game (either as partners or opponents) and where the number of rounds in a minimum.  Is that right?  I am afraid I still don't have much good advice to give you here, but my earlier suggestion about the coverings was the way I would probably tackle the problem.  I would first want to find a minimal resolvable covering where all pairs meet at least once, and then I would assign the blocks of 6 players to 3 vs 3.  You would likely need software to do this but I don't have anything that will help.  I might be able to offer a solution where there are a multiple of 6 players, for example I think I can make an 18 player solution in 6 rounds, but some pairs of players will meet 3 times while other pairs only once. 
63
Requests / Re: 8 men 8 woman, Rotating Partner Mixed Round Robin
« Last post by Philly617 on November 22, 2024, 08:03:55 AM »
Ian, thank you very much.  Very helpful
64
Requests / Re: 8 men 8 woman, Rotating Partner Mixed Round Robin
« Last post by Ian Wakeling on November 22, 2024, 03:40:59 AM »
This is the best schedule that I have for 8 rounds:

(m06 f08 v m02 f03) (m01 f05 v m04 f06) (m03 f07 v m05 f02) (m08 f01 v m07 f04)
(m01 f08 v m07 f01) (m08 f05 v m05 f03) (m03 f02 v m06 f04) (m02 f06 v m04 f07)
(m02 f05 v m08 f02) (m04 f01 v m05 f04) (m07 f07 v m06 f03) (m01 f06 v m03 f08)
(m04 f03 v m01 f02) (m03 f05 v m07 f08) (m05 f01 v m06 f06) (m02 f07 v m08 f04)
(m08 f03 v m03 f06) (m07 f05 v m06 f07) (m04 f04 v m05 f08) (m02 f02 v m01 f01)
(m05 f07 v m01 f03) (m04 f05 v m03 f01) (m02 f04 v m07 f06) (m08 f08 v m06 f02)
(m07 f02 v m05 f06) (m04 f08 v m08 f07) (m03 f03 v m02 f01) (m01 f04 v m06 f05)
(m01 f07 v m03 f04) (m04 f02 v m07 f03) (m05 f05 v m02 f08) (m08 f06 v m06 f01)

It does contain all male/female partnerships exactly once, however the opposition pairings are not optimal.  In particular the following four pairs never oppose (m1 m8) (m4 m6) (f1 f7) (f3 f4).  Hope that helps.
65
Requests / Re: 8 men 8 woman, Rotating Partner Mixed Round Robin
« Last post by Philly617 on November 21, 2024, 01:58:40 PM »
Ian, I did see that post, #8 as I don't have any situation where we are avoiding a spouse.

Was wondering why there were 9 rounds in that scenario.

With 8 men and 8 women.  I'm looking for 8 round scenario where each male plays with each female once?  Is that covered in your 9 rounds scenario and one of the round is duplicative and I just need to delete it?

Appreciate your help.
66
Requests / Re: 8 men 8 woman, Rotating Partner Mixed Round Robin
« Last post by Ian Wakeling on November 21, 2024, 03:39:59 AM »
See here for a similar question.

and consider replies #1 or #8 here for 7 or 9 round schedules.  The first is spouse avoiding so there is one other opposite sex player who you never meet.

67
Requests / 8 men 8 woman, Rotating Partner Mixed Round Robin
« Last post by Philly617 on November 21, 2024, 12:23:48 AM »
I'm new to this site but am trying to figure out schedule for below format.

- 8 men
- 8 women
- Each person plays with every mixed partner which means 8 games
- playing on 4 courts
- How do I best randomize games so each person plays against everyone else and not playing the same person 3 or 4 times
68
Requests / Re: variation on a steiner triple system
« Last post by babyteeth on November 18, 2024, 03:13:49 PM »
As I was posting this, I had another thought which may be relevant. If this got bigger, I would necessarily organize this into brackets. So within bracket groupings, I would want those conditions, but no need for that across all tournament participants.
69
Requests / Re: variation on a steiner triple system
« Last post by babyteeth on November 18, 2024, 03:09:43 PM »
This is very interesting, thank you! With only 18ppl at the moment, I don't know how I would compensate for so many 'ghost' players. Also, much of that math is well over my head 🤓
Perhaps I'm overthinking. I'd very much appreciate any suggestions you may have in how to approach this. I have a group of people who all play the same game, of which 10-30 of those might sign up for a tournament. It's teams of 3 vs 3, but everyone plays as individuals. Each individual player on a team gets 3 pts for the team win, 1 for team draw, 0 for team loss.
Top 6 players in points move on to a set of 3 finals matches with teams based on rank (1-6) after round one

I'm trying to find a way to assign players so that a) teams are as unique as possible. b) opponents are unique as possible. c) the system is flexible if there are odd numbers of participants. d) everyone plays the same number of matches. And e) minimizing the total number of matches, no matter how many players sign up within that range.
Also, this is a video game, so there are 'infinite' courts!

Please let me know what you think. Thank you in advance!
BT
70
It can be done on 3 courts with some byes, but I am not aware of a 4 court solution.  See the schedule in reply #6 here.