Round Robin Tournament Scheduling

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Title: bridge schedule 8 teams meeting 8 times
Post by: mark_wayne on August 17, 2010, 12:45:00 PM
My wife is trying to create a schedule for 8, 2 person bridge teams meeting 8 times. Two hostesses each month entertain 3 teams or 2 tables of 4. She wants each team to play each other team at least 2 times and does not want some teams playing 4 or 5 times. She prefers the same couple host December & May. Her months are Sep. Oct. Nov. Dec. Jan. Mar. April & May.
Help we have wrestled with this and can't seem to figure it out.
Mark Wayne
Title: Re: bridge schedule 8 teams meeting 8 times
Post by: Ian Wakeling on August 18, 2010, 03:41:49 AM
Can I assume that when 4 couples meet at a venue that they all play each other? This would mean that any one couple gets 24 games over the 8 meetings.  With only 7 possible opponents then some teams will inevitably play together four times.  If this is what you want, then the schedule below should work, where the couple who host are the first in each group of four.

(7 4 6 5)  (3 1 2 8)
(4 2 5 3)  (6 7 1 8)
(5 6 8 1)  (2 3 4 7)
(8 7 5 2)  (1 4 3 6)
(6 3 7 2)  (4 5 8 1)
(3 8 7 4)  (5 6 1 2)
(2 8 6 4)  (7 1 3 5)
(1 7 2 4)  (8 5 3 6)

Hope that helps,

Ian.