Round Robin Tournament Scheduling

Schedules - You must register to Post and Download => Requests => Topic started by: Robg on August 12, 2014, 01:55:01 AM

Title: Odd schedule
Post by: Robg on August 12, 2014, 01:55:01 AM

I am trying to create a schedule for a tenpin bowling tournament based on the following specs.

Total of 21 teams.
3 teams to each pair of lanes (group) each round, 14 lanes (pair).
Total of 12 rounds.
Each team plays each other team at least once and not more than twice.
Each team plays on each pair of lanes at least once.

Thanks in advance.

Rob

Title: Re: Odd schedule
Post by: Ian Wakeling on August 12, 2014, 02:27:57 AM

Rob,  I think the following schedule will work:

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

Each team plays 4 of the other teams twice, and all the other 16 teams exactly once.  Teams are assigned to the 7 columns above either once or twice.

Title: Re: Odd schedule
Post by: Robg on August 12, 2014, 02:32:41 AM

Hi Ian,
Wow that was quick.
Thank you very much for your help.

Cheers
Rob