Mixed Doubles Rotating Partners Round Robin for uneven number males and females

[prenaud]

I've asked 5 different AI to help me with this and they all had errors. The maximum number of rounds we can play is 7. You get a new partner each round. Let's say we have 4 women/8 men (12) OR 6 women and 10 men (16), I would like the last match of each round to be men vs men.  

12 players:
2 mixed matches
1 men match

16 players:
3 mixed matches
1 men match

Following this format would be perfect as I was able to use it with Python codes:

(H1 W4 v H2 W7) 
(H3 W1 v H4 W5) 
(H5 W3 v H6 W8 )
(H7 W6 v H8 W2)

(H1 W7 v H3 W6) 
(H2 W5 v H7 W3) 
(H4 W2 v H5 W8 ) 
(H6 W1 v H8 W4)

(H1 W6 v H4 W8 )
H2 W4 v H8 W5) 
(H3 W7 v H5 W2) 
(H6 W3 v H7 W1)

(H1 W3 v H5 W4) 
(H2 W8 v H6 W7) 
(H3 W5 v H8 W6) 
(H4 W1 v H7 W2)

(H1 W5 v H6 W2) 
(H2 W1 v H3 W8 )
(H4 W3 v H8 W7) 
(H5 W6 v H7 W4)

(H1 W8 v H7 W5) 
(H2 W3 v H4 W6) 
(H3 W2 v H6 W4) 
(H5 W7 v H8 W1)

(H1 W2 v H8 W3) 
(H2 W6 v H5 W1) 
(H3 W4 v H7 W8 )
(H4 W7 v H6 W5)

[Ian Wakeling]

I can say on the basis of theory that no 'nice' schedule will be possible for your 12 player scenario, I don't have any software that can try to make such a schedule, but I am sure the balance would be very poor.  However, I can offer something for 16 players (6 women and 10 men) and 5 rounds - this can work well with every player being scheduled to play with every other player exactly once. I have labelled the female players F1 to F6 and the male players M1 to M9 plus MX for the tenth man.

 Court 1 Mixed    Court 2 Mixed    Court 3 Mixed   Court 4 Men Only
(M4 F1 v M6 F2)  (MX F6 v M9 F3)  (M7 F4 v M8 F5)  (M1 M2 v M3 M5)
(M9 F5 v M5 F2)  (M4 F4 v M2 F3)  (M1 F1 v M7 F6)  (M6 M3 v M8 MX)
(M8 F6 v M2 F2)  (M9 F1 v M3 F4)  (M6 F3 v M1 F5)  (M5 M7 v M4 MX)
(MX F1 v M2 F5)  (M5 F6 v M6 F4)  (M3 F3 v M7 F2)  (M4 M8 v M9 M1)
(M1 F2 v MX F4)  (M3 F5 v M4 F6)  (M5 F1 v M8 F3)  (M2 M6 v M7 M9)

Each woman has 5 rounds of mixed doubles, playing with all ten men exactly once (5 as partners and 5 as opponents), and opposes each other woman exactly once.

Each man has 3 rounds of mixed doubles, playing with all 6 women  (3 as partners and 3 as opponents), and has 2 rounds of  mens doubles.

Hope that is of some help.

[prenaud]

Amazing. This looks like a lot of work. I will definitely use the draw. Thank you so much.

[prenaud]

Ian, would there be an easy way to add two more rounds? It would be OK to play against the same opponent as long as players don't have the same partner.