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1  Guestbook / Comments / Lawn bowls club
 on: 04/18/17 at 12:10:23 
Started by Guest | Post by Guest
Thank you for the round robin chart, got me out of a big hole
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2  Schedules / Requests / Re: Balanced 10 player golf schedule
 on: 04/16/17 at 08:58:00 
Started by HGGolf | Post by HGGolf
Is it possible to distribute foursomes more evenly and maintain a balanced schedule & balanced twosomes? Thanks.
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3  Schedules / Requests / Re: Balanced 10 player golf schedule
 on: 04/11/17 at 20:07:36 
Started by HGGolf | Post by HGGolf
Thank you for this. But just looking at player number one, he is in a foursome with one player 5 times, 3 players 4 times, 1 player 2 times, and 4 players just once. I'm looking for a little more even distributions of being in foursomes together.
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4  Schedules / Requests / Re: Balanced 10 player golf schedule
 on: 04/11/17 at 10:57:17 
Started by HGGolf | Post by Ian Wakeling
I think a regular balanced round-robin will give you what you want:

( 1  6) ( 2  7) ( 3  8) ( 4  9) ( 5 10)
( 2  5) ( 3  1) ( 4  7) (10  8) ( 6  9)
( 3  4) ( 9 10) ( 5  1) ( 6  7) ( 2  8)
( 2 10) ( 8  6) ( 9  7) ( 5  3) ( 1  4)
( 3  9) ( 4  5) (10  6) ( 1  2) ( 7  8)
( 7 10) ( 3  6) ( 4  2) ( 5  8) ( 1  9)
( 8  9) ( 4 10) ( 5  6) ( 1  7) ( 2  3)
( 7  5) ( 8  1) ( 9  2) (10  3) ( 6  4)
( 8  4) ( 9  5) (10  1) ( 6  2) ( 7  3)

simply group columns 1 & 2,  and columns 3 & 4 into foursomes, which leaves column 5 as the twosome.  Players 5 & 10 are the 2 players who play just once in twosomes.
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5  Schedules / Requests / Balanced 10 player golf schedule
 on: 04/11/17 at 06:58:20 
Started by HGGolf | Post by HGGolf
10 players, 9 weeks
Play each player once
Evenly distributed times in twosome (I realize 2 players will only have this once, 8 players twice)
Evenly distributed times in foursome with each player.
 
Thank you.
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6  Schedules / Requests / Re: 12 round, 3 on 3 Round Robin with random teams
 on: 03/29/17 at 14:01:26 
Started by johnz1 | Post by johnz1
That is great, thank you so much Ian.  A 20 round schedule would be even better.  That'd be great if you could dig that up.
 
Thanks again!
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7  Schedules / Requests / Re: 12 round, 3 on 3 Round Robin with random teams
 on: 03/27/17 at 03:47:32 
Started by johnz1 | Post by Ian Wakeling
John,
 
Thanks for the interesting question.  Certainly I can make a 16 round schedule where there are 12 games played each.   For example:

  ( 1  3 11 v 10 14 13) ( 7  9 16 v  5  4 15)   ( 2 12  6  8)
  ( 2  4 12 v 11 15 14) ( 8 10  1 v  6  5 16)   ( 3 13  7  9)
  ( 3  5 13 v 12 16 15) ( 9 11  2 v  7  6  1)   ( 4 14  8 10)
  ( 4  6 14 v 13  1 16) (10 12  3 v  8  7  2)   ( 5 15  9 11)
  ( 5  7 15 v 14  2  1) (11 13  4 v  9  8  3)   ( 6 16 10 12)
  ( 6  8 16 v 15  3  2) (12 14  5 v 10  9  4)   ( 7  1 11 13)
  ( 7  9  1 v 16  4  3) (13 15  6 v 11 10  5)   ( 8  2 12 14)
  ( 8 10  2 v  1  5  4) (14 16  7 v 12 11  6)   ( 9  3 13 15)
  ( 9 11  3 v  2  6  5) (15  1  8 v 13 12  7)   (10  4 14 16)
  (10 12  4 v  3  7  6) (16  2  9 v 14 13  8)   (11  5 15  1)
  (11 13  5 v  4  8  7) ( 1  3 10 v 15 14  9)   (12  6 16  2)
  (12 14  6 v  5  9  8) ( 2  4 11 v 16 15 10)   (13  7  1  3)
  (13 15  7 v  6 10  9) ( 3  5 12 v  1 16 11)   (14  8  2  4)
  (14 16  8 v  7 11 10) ( 4  6 13 v  2  1 12)   (15  9  3  5)
  (15  1  9 v  8 12 11) ( 5  7 14 v  3  2 13)   (16 10  4  6)
  (16  2 10 v  9 13 12) ( 6  8 15 v  4  3 14)   ( 1 11  5  7)

 
Above all pairs of players are together in the same group of 6 exactly 4 times, pairs that partner only once oppose 3 times, while pairs that partner twice, oppose twice.  So this should be optimal for 16 rounds.
 
It is theoretically possible to have a perfect 20 round schedule where there are 15 games played each - all partners twice and all opponents three times.   Unfortunately I have not been able to find this yet, but if I do, I will post it here.
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8  Schedules / Requests / Re: 12 round, 3 on 3 Round Robin with random teams
 on: 03/26/17 at 15:40:42 
Started by johnz1 | Post by johnz1
(Sorry to resurrect this thread)
 
Ian, any chance you have an optimal schedule for 16 players?  With somewhere between 12 and 16 games played each.
 
Thanks a lot for your help over the years
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9  Guestbook / Comments / Round Robin Scheduling
 on: 03/21/17 at 08:08:15 
Started by Guest | Post by Guest
I run a golf league at a private country club.  We are implementing a new division this year using a singles format with a team approach.  Everyone will play with everyone else, against everyone else.  Thank you for providing the scheduling.
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10  Schedules / Requests / Re: 12 Player Golf League - 9 week schedule
 on: 03/13/17 at 17:54:20 
Started by HGGolf | Post by Ian Wakeling
In the last attachment above you are giving priority to the pairs in a cart, as these are all unique, so I am now confused as to what you want to give priority to.   If you want to have something like your original schedule, then I think the following is better:
 
1  7  2  5  3 11  4 12  6 10  8  9
3  5  4  6  1  9  2 12  7 11  8 10
1  5  2  8  3  9  4 10  6 11  7 12
3  8  4  7  1 12  2 10  5 11  6  9
2  5  3  6  1 10  4 11  7  9  8 12
1  8  3  6  2 12  4 11  5  9  7 10
2  7  4  8  1 11  3  9  5 10  6 12
1  6  4  7  2  9  3 10  5 12  8 11
1  2  3  4  5  6  7  8  9 10 11 12  
 
In the last round both opponents should be played.  However since the pairs (1 2),  (5 6) & ( 9 10) oppose 4 times, you would have to reduce these by one somewhere in the first 8 weeks.
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