Round Robin Tournament Scheduling

12 Couples golf

teebarry2 · 2 · 3843

teebarry2

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on: September 05, 2007, 05:29:48 PM
Last year got some great help with scheduling 8 couples... had so much fun 4 more couples joined and I need some more help!!

We play four rounds of golf with 2 men and 2 women in each foresome (12 couples). The trick is that it is a social event so you don't play the entire weekend with your spouse. Any ideas on a schedule that doesn't have anyone duplicating AND you don't play with your spouse?????  


Ian Wakeling

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Reply #1 on: September 06, 2007, 04:42:42 AM
Last time I think it may have been 10 couples, as I made this schedule.

I have tweaked the software used to find the 10 couple schedule and it gives me the following 12 couple solution:

(w7 h6 w12 h11) (w8 h1 h2 w9  ) (h12 w6 h10 w4) (w1 h5 h8 w3  ) (w5 w2 h3 h4 ) (h7 w11 h9 w10)
(h8 w7 w2 h10 ) (w9 h5 h12 w11) (w1 h2 h7 w6  ) (h3 h11 w4 w8 ) (h9 h6 w5 w3 ) (w12 h1 h4 w10)
(w12 w2 h5 h7 ) (h10 w11 w3 h2) (w9 w4 h6 h8  ) (w5 w6 h1 h11 ) (w7 w8 h9 h4 ) (h12 w10 w1 h3)
(w1 h11 h9 w2 ) (w12 h3 w9 h10) (w3 w4 h1 h7  ) (h12 w5 w7 h2 ) (h8 h4 w11 w6) (w8 h5 w10 h6 )


I believe that no two players play together more than once and that the schedule has the spouse avoiding property requested.

Ian.