Round Robin Tournament Scheduling
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Help with scheduling

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Leslie(Guest)

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on: April 25, 2007, 01:02:42 PM
I have 12 teams, 6 events, 6 time slots.  Teams cannot repeat vertically down the column or horizontally across the row.  I cannot figure out the pairings.  Any ideas?

Richard A. DeVenezias

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Reply #1 on: April 25, 2007, 02:17:12 PM
Sounds like you are looking for a balanced schedule.
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Ian Wakeling

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Reply #2 on: April 26, 2007, 04:42:12 AM
You can take 6 rows from the balanced design as Richard suggests, but I don't think there is any guarantee that the 12 teams in one column are all different.  I think you want something more like this (which is known as a Howell design).

(A B)  (C D)  (E F)  (G H)  (I J)  (K L)
(D H)  (B L)  (C J)  (A I)  (K E)  (F G)
(K G)  (F J)  (D L)  (B E)  (A C)  (H I)
(C E)  (K I)  (H B)  (L F)  (G D)  (J A)
(I F)  (E G)  (K A)  (D J)  (H L)  (B C)
(J L)  (A H)  (G I)  (C K)  (B F)  (D E)

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