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golf league schedule

lergolf
lergolf asked
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Last Modified: 2012-03-16
I am seeking assistance in setting up a golf league schedule that will result in a reasonably equitable schedule.

Parameters:
-the season consists of 13 Tuesday nights
-we have 12 golfers in the league
-each of the three weekly teams consists of 4 golfers
-each golfer competes individually and the 4 person teams change from week to week

I would like to set the league schedule up so that each golfer will play with each of the other 11 golfers in the league either 3 or 4 times during the 13 weeks.

Last year I manully worked out a schedule but had between 3-5 times that certain players played with each other.  I would like to make this more equitable.

Any assistance that can be provided would be appreciated.  Thanks.
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ozo
CERTIFIED EXPERT
Most Valuable Expert 2014
Top Expert 2015

Commented:
( a b c d ) ( e f g h ) ( i j k l )
( a b h l ) ( d e f j ) ( c g i k )
( a b j k ) ( c e g h ) ( d f i l )
( a c f h ) ( b d e k ) ( g i j l )
( a c f l ) ( d e g j ) ( b h i k )
( a c g j ) ( b d e i ) ( f h k l )
( a d g k ) ( c e i l ) ( b f h j )
( a d h i ) ( e f j k ) ( b c g l )
( a e h i ) ( c d f k ) ( b g j l )
( a e j l ) ( b c f i ) ( d g h k )
( a e k l ) ( b f g i ) ( c d h j )
( a f g k ) ( b e h l ) ( c d i j )
( a f i j ) ( b c e k ) ( d g h l )

Author

Commented:
Thank you for the response.   The solution presented is close to meeting the requirements.  
d & l and h & j only golf together twice.
CERTIFIED EXPERT
Most Valuable Expert 2014
Top Expert 2015
Commented:
( a h i l ) ( b f g k ) ( c d e j )
( a d f j ) ( b e h i ) ( c g k l )
( a c e k ) ( b d g h ) ( f i j l )
( a g i j ) ( b c d l ) ( e f h k )
( a c f h ) ( b j k l ) ( d e g i )
( a e g l ) ( b c f i ) ( d h j k )
( a d i k ) ( b e f l ) ( c g h j )
( a b e j ) ( c h i k ) ( d f g l )
( a b c g ) ( d e h l ) ( f i j k )
( a b d k ) ( c h j l ) ( e f g i )
( a f g h ) ( b d i l ) ( c e j k )
( a h k l ) ( b g i j ) ( c d e f )
( a c d i ) ( b f h j ) ( e g k l )

Author

Commented:
ozo, thank you very much.  The second solution works.  I was also able to make a couple of manual changes to the first solution and made it work.  I now have a couple of options to choose from.  Thanks again.

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