Round Robin Tournament Scheduling

8 golfers -21 rounds of paired 4ball competition.

Dave_Mack · 6 · 83

Dave_Mack

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We have 8 golfers playing 21 rounds in paired four-ball competition.
 
OBJECTIVE:  Each golfer to 1.) partner everyone else 2.) oppose every other team and 3.) play in the same four ball the same number of times.
 
Could this be achieved by taking the "Balanced Round Robin Schedule for 8 players" and having Match 1 pairs v Match 2 pairs and Match 3 pairs v Match 4 pairs for the first 7 rounds; then Match 1 v Match 3 and Match 2 v Match 4 for rounds 8 to 14 and then Match 1 v Match 4 and Match 2 v Match 3 for the final 7 rounds?
 
If so how many time will each pair achieve each of the 3 stated objectives. Many thanks for any and all responses!



Ian Wakeling

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Reply #1 on: August 01, 2019, 11:53:44 AM
Yes, this will work very well.  The schedule will have the following properties:

all pairs partner exactly 3 times.
all pairs oppose exactly 6 times.
all 42 four-balls will be different.
consider the 3 four-balls that involve a particular partnership, then the 6 opponents will all be different.


Dave_Mack

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Reply #2 on: August 01, 2019, 03:56:22 PM
Excellent!

Thank you for such a speedy and clear response. We're actually planning to play these rounds on a golf tour in Ireland over a 2 week period! The 3rd objective is focused on camaraderie. Each of us want to try to play an equal amount in the company of everyone else on tour.

Your expertise is greatly appreciated and adds to the fun of friendly competition. Thanks again.  


Dave_Mack

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Reply #3 on: August 01, 2019, 04:14:59 PM
On the "camaraderie" objective, I was just wondering how many times will an individual golfing tourist play in the same four ball with each of the other 7 tourists? 


Ian Wakeling

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Reply #4 on: August 02, 2019, 03:16:16 AM
The camaraderie count is simply the sum of the partner and opposition frequency, so 3 + 6 = 9 times.


Dave_Mack

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Reply #5 on: August 05, 2019, 07:57:06 PM
Perfect! Thanks again.