Scheduling

[MacDuff]

We went from 16 to 14 couples.  Schedule is a nightmare.  How do you schedule seven matches, 4 couples at each site and minimize the replays and no plays?  12 couples play each month with 2 couples having a bye each.  Any help will be grately appreciated  -  and it would make 32 people smile!  (Especially me.)

[Ian Wakeling]

I think the following will work for you.  Each couple 1-14 meets with each other at least once and at most twice.

(3  9 1 7)  (14 12 2 4)  (11 6 10 13)  (5  8)
(4 10 2 1)  ( 8 13 3 5)  (12 7 11 14)  (6  9)
(5 11 3 2)  ( 9 14 4 6)  (13 1 12  8)  (7 10)
(6 12 4 3)  (10  8 5 7)  (14 2 13  9)  (1 11)
(7 13 5 4)  (11  9 6 1)  ( 8 3 14 10)  (2 12)
(1 14 6 5)  (12 10 7 2)  ( 9 4  8 11)  (3 13)
(2  8 7 6)  (13 11 1 3)  (10 5  9 12)  (4 14)

Something similar with 12 couples can be found here