Round Robin Tournament Scheduling

### 16 team beer olympics

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• Posts: 0
on: June 19, 2021, 12:53:57 PM
I have a 16 team 2 groups (A,B) which has 8 teams per group. We have 7 games for both groups to play being ( Game A,B,C,D,E,F,G ). I need each team to play each game and each team once! In both groups, and does not matter if teams have to play the same game in the same round.

#### Ian Wakeling

• Forum Moderator
• God Member
• Posts: 1135
Reply #1 on: June 20, 2021, 04:24:53 AM
There is good news as a schedule for this scenario exists, and it can be made to work with the additional constraint that all 7 games are played exactly once in each round.  Let group A be the teams numbered 1 to 8, and group B the teams 9 to 16, then the schedule below should work.  Columns correspond to rounds and are labelled R1 to R8.

R1      R2      R3      R4      R5      R6      R7      R8
Game A: ( 9 10) ( 5  6) ( 1  2) (11 12) ( 7  8) ( 3  4) (13 14) (15 16)
Game B: (11 14) ( 2  7) ( 3  6) ( 1  8) ( 4  5) ( 9 16) (10 15) (12 13)
Game C: ( 1  5) ( 3  8) ( 9 13) (10 14) (12 15) ( 2  6) (11 16) ( 4  7)
Game D: (13 15) ( 9 11) ( 5  7) ( 2  4) (14 16) (10 12) ( 1  3) ( 6  8)
Game E: (12 16) (10 13) ( 4  8) ( 3  7) ( 1  6) (11 15) ( 2  5) ( 9 14)
Game F: ( 2  8) (12 14) (10 16) ( 9 15) (11 13) ( 1  7) ( 4  6) ( 3  5)
Game G: ( 6  7) ( 1  4) (14 15) (13 16) ( 2  3) ( 5  8) ( 9 12) (10 11)

Bye: [ 3  4] [15 16] [11 12] [ 5  6] [ 9 10] [13 14] [ 7  8] [ 1  2]

Note that in each round one pair of teams (both from the same group) have a bye.