Round Robin Tournament Scheduling

13 teams all-play-all once

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leeroy

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on: October 07, 2013, 07:51:28 AM
Hello

Please let me know if you can provide a schedule with the following criteria;

- 13 teams
- play each other once - 6 at home, 6 away
- over 14 rounds - therefore 2 byes each
- if possible - 1st 6 rounds 5 games in each round - no more than 2 byes for any team in 1st 6 rounds - both byes kept as many weeks apart as possible - at least 1 bye for every team
- last 8 rounds 6 games in each round - no team that has 2 byes in 1st 6 rounds has a bye in last 8 rounds

Many thanks


Ian Wakeling

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Reply #1 on: October 08, 2013, 09:14:09 AM
I don't have any way for optimizing a home/away schedule like this, so all I could think of was to modify an existing schedule.  I started with Warren's schedule for 14 players that you can generate here and then moved some of the matches from the first 6 rounds to create the last round.  It will probably not keep the byes as far apart as you would like.


  1:   13-2   12-3   11-4   10-5    9-6  
  2:    7-9    5-11   4-12   3-13   2-1  
  3:    1-3   12-5   11-6   10-7    9-8  
  4:    8-10   7-11   6-12   5-13   4-1
  5:    2-4   13-6   12-7   11-8   10-9  
  6:    8-12   7-13   6-1    5-2    4-3  
  7:    3-5    2-6    1-7   13-8   12-9   11-10
  8:   10-12   9-13   8-1    7-2    6-3    5-4  
  9:    4-6    3-7    2-8    1-9   13-10  12-11
 10:   11-13  10-1    9-2    8-3    7-4    6-5  
 11:    5-7    4-8    3-9    2-10   1-11  13-12
 12:   12-1   11-2   10-3    9-4    8-5    7-6  
 13:    6-8    5-9    4-10   3-11   2-12   1-13
 14:    8-7    6-10  13-4    3-2    1-5    9-11


take the team on the left to be the home team, and the one on the right to be the away team.
« Last Edit: October 08, 2013, 09:17:08 AM by Ian »


leeroy

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Reply #2 on: October 09, 2013, 04:22:57 AM
Many thanks Ian