Round Robin Tournament Scheduling

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Title: Need Help 10 teams 4 Rounds 2 Grounds
Post by: wceextra on September 04, 2021, 09:08:27 PM

HI all

Got an event happening and we have
2 Grounds
10 teams
4 Games For each team 2 at one Ground 2 at another ground 

No team Plays back to backs if possible
every team plays twice at 2 grounds

2 Games Happen Each round 
10 rounds total 


Thanks

Title: Re: Need Help 10 teams 4 Rounds 2 Grounds
Post by: Ian Wakeling on September 05, 2021, 12:45:18 PM

Would something like this work, where 'X' should be read as '10'? There is one team with a back-to-back game after each even round, but I think 4 back-to-back games might be the minimum possible.


    G1    G2

R1 (2 6)  (1 8)
R2 (5 X)  (4 7)
R3 (3 7)  (2 9)
R4 (1 6)  (5 8)
R5 (2 7)  (1 9)
R6 (4 8)  (3 X)
R7 (5 9)  (4 6)
R8 (3 8)  (2 X)
R9 (4 9)  (3 6)
RX (1 X)  (5 7)

Title: Re: Need Help 10 teams 4 Rounds 2 Grounds
Post by: wceextra on September 06, 2021, 06:10:20 AM

Hi Ian 

The 2 grounds are away from each other so will need a break for the team changing ground.
So can play back to backs on same ground but not from 1 ground to another ground 

Title: Re: Need Help 10 teams 4 Rounds 2 Grounds
Post by: Ian Wakeling on September 07, 2021, 03:19:18 AM

When I thought about it again I realized that it is possible to completely eliminate the back to backs.  In the schedule below teams 3,4,8,9 & X only change grounds once, while the other teams have to change ground twice.

     G1     G2
R1  (1 3)  (5 8)
R2  (2 4)  (6 9)
R3  (3 5)  (7 X)
R4  (4 6)  (8 1)
R5  (5 7)  (9 2)
R6  (6 8)  (X 3)
R7  (7 9)  (1 4)
R8  (8 X)  (2 5)
R9  (9 1)  (3 6)
RX  (X 2)  (4 7)