Wrestling League Schedule - Help :-)

[lifesagas]

Hi Everyone!  Can you help me make this schedule?  Here are the specs:

We have a high school wrestling league with 30 teams.  Our goal is to get to wrestle as many teams as possible without having too many duplicates.  It doesn't have to be perfect!

We would have 6 teams meet at each location (5) each week, over the course of 6 weeks.

I don't need the individual matchups, just who goes where each week.

So the schedule would look something like:

Week 1:
Team 1, 2, 3, 4, 5, 6 @ Location 1
Team 7, 8, 9, 10, 11, 12 @ Location 2
etc.

Week 2:
Team ?, ?, ?, ?, ?, ? @ Location 1
etc.

Is that enough info?  Thanks for your help!  

jc

[Ian Wakeling]

Hi jc,

Would it be possible to change the format slightly? From a mathematical point of view it would be much better if you could have 5 teams meeting at each of 6 locations.  Would that be possible by any chance?

Ian.

[lifesagas]

Hi Ian,

Thank you for your kind help!!

We have 6 teams at each event, so that we can run dual meets without having to have any byes.  The schedule doesn't have to be perfect.  However close we can get is very much appreciated.

Jack

[Ian Wakeling]

Hi Jack,

I think the following schedule is a reasonable solution.  Because there are more teams per location than locations, it is impossible to avoid having some pairs of teams meet more than once - in fact there are 75 pairs of teams below who meet twice, and as a consequence there are some pairs (60) who never meet at all.

I hope that works fo you.

Ian.

(15 2 16 28 27 8) (12 20 13 11 9 18) (29 26 21 1 5 17) (7 19 22 30 24 3) (10 14 23 25 6 4)
(13 3 17 28 25 9) (10 21 14 12 7 16) (29 27 19 2 6 18) (8 20 23 30 22 1) (11 15 24 26 4 5)
(14 1 18 28 26 7) (11 19 15 10 8 17) (29 25 20 3 4 16) (9 21 24 30 23 2) (12 13 22 27 5 6)
(2 5 20 7 17 4) (22 16 28 11 21 6) (25 18 30 15 12 1) (24 29 14 8 19 13) (27 10 23 26 9 3)
(3 6 21 8 18 5) (23 17 28 12 19 4) (26 16 30 13 10 2) (22 29 15 9 20 14) (25 11 24 27 7 1)
(1 4 19 9 16 6) (24 18 28 10 20 5) (27 17 30 14 11 3) (23 29 13 7 21 15) (26 12 22 25 8 2)

[lifesagas]

Bless you Ian!  You are my hero!