Round Robin Tournament Scheduling

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Title: Bridge Club Schedule
Post by: Hallsl on April 20, 2015, 12:32:10 PM
I would like assistance to schedule a church bridge group that has 16 couples that play in groups of 4 couples at a time 8 times during the year.  Each couple hosts once in the first half of the season and once again in the last half of the season.  We would appreciate the schedule to limit the number of times that any couple plays any other couple.  
Thanks a bunch
Title: Re: Bridge Club Schedule
Post by: Ian Wakeling on April 21, 2015, 08:02:36 AM
This is a little harder than 20 couples.  I would like to arrange it so that no pair of couples meets a second time until round 6, but I can't find a schedule like that.   The schedule below has the hosting properties that you want, and no pair of couples should meet more than twice.

     Group 1   Group 2   Group 3   Group 4       Hosts
    (J N M F) (E I B A) (H D C L) (P O K G)    [F A H G]
    (N O D B) (I L F E) (M P K H) (C J A G)    [B L M C]
    (D C M I) (J L P B) (G E H N) (F K O A)    [D J E O]
    (K F E C) (L G I O) (N A H M) (P B J D)    [K I N P]
    (G B E M) (D A F P) (H I O J) (C K N L)    [G F H C]
    (L P A E) (M F G D) (O C B H) (K J N I)    [E M O J]
    (I N P C) (A M L O) (B H G F) (E D J K)    [I L B D]
    (F H I P) (A G C J) (O E D N) (B M L K)    [P A N K]

          1 2 3 4 5 6 7 8
         ----------------
      A | * C O N F E L *
      B | A * J P G O * K
      C | H * D K * O I A
      D | H B * P F M * N
      E | A L * K G * D N
      F | * L O K * M B P
      G | * C E I * M B A
      H | * M E N * O B P
      I | A L D * H J * P
      J | F C * P H * D A
      K | G M O * C J D *
      L | H * J I C E * K
      M | F * D N G * L K
      N | F B E * C J I *
      O | G B * I H * L N
      P | G M J * F E I *