Co-ed Volleyball

[yourmommag]

Hi -
Sorry, having trouble navigating through the site to see if it's already been answered. I've seen different answers, but they seemed to have an unending number of courts

This is for KOB (king of the beach) volleyball.  It's also seen often in tennis.  Where a co-ed couple plays with a different co-ed couple each round and against 4 others (who are also being coupled up).  Would be nice, if you didn't always play against one person.

10 boys
10 girls
2 courts
(4 people have a bye, every game)
Teams are made of 2 girls 2 boys
Would like a couple different scenarios
1) Set Boy girl partners, playing with different partners every round. (This would look like T1 T2 v T3 T4, court 2 T5 T6 v T7 T8 )
2) random combinations of boys and girls playing with different boy girl every round. (Ex. b1 b3 g2 g4 v b2 b4 g1 g3)

Thank you much in advance!

[Ian Wakeling]

I have moved your post into this new topic and given it a suitable title.

Concerning your question, I think scenario #1 is a much easier proposition.  Once the boys and girls are assigned to 10 pairs, then you are simply looking for a doubles schedule for 10 participants.  There are some schedules linked to in this recent thread that you might find useful.

Scenario #2 is really hard and a balanced schedule is unlikely. There is the issue that a player has different numbers of same sex and opposite sex partners/opponents - there are 9 of the former, and 10 of the latter in your example.

[Ian Wakeling]

I was thinking some more about scenario #2 - and if there were only 8 boys and 8 girls, then you could possibly play this 7 round schedule:

 (b5 b6 g8 g7 : b3 b4 g2 g1) (b1 b2 g4 g3 : b7 b8 g6 g5)
 (b6 b8 g4 g2 : b1 b3 g7 g5) (b5 b7 g3 g1 : b2 b4 g8 g6)
 (b1 b4 g6 g7 : b2 b3 g5 g8) (b5 b8 g2 g3 : b6 b7 g1 g4)
 (b4 b8 g5 g1 : b3 b7 g6 g2) (b2 b6 g7 g3 : b1 b5 g8 g4)
 (b2 b5 g6 g1 : b3 b8 g7 g4) (b1 b6 g5 g2 : b4 b7 g8 g3)
 (b1 b7 g2 g8 : b3 b5 g4 g6) (b4 b6 g3 g5 : b2 b8 g1 g7)
 (b2 b7 g4 g5 : b3 b6 g1 g8) (b1 b8 g3 g6 : b4 b5 g2 g7)

The 8 pairs (b1 g1), (b2 g2), etc. never play together, but otherwise everything is good, a player:
partners the same sex players once
partners the other opposite sex players twice
opposes all other players twice

Unfortunately I see no way to do anything similar for 10 boy and 10 girls, it is possible it might work with 12 boys and 12 girls and 3 simultaneous games per round.