Round Robin Tournament Scheduling

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Title: Trying to set weekly RR schedule for 9 players on 1 pickleball court (doubles)
Post by: thegbees on August 29, 2023, 11:32:39 AM
Hi.  I've been turning this around and around and I'm stuck.

We have 9 total players who are going to be sharing a once a week pickleball court. The plan is to assign 4 players per week, with a rotation so that everyone gets about the same number of games over the course of 36 weeks (that's the duration of the standing reservation).  I was trying to find a way to set it up so there are different players each week (ie 1,2,3,4 week one, 5,6,7,8 week 2, 9,1,3,5 etc) but I got lost in trying to make sure it was relatively fair.

Any thoughts or direction would be incredibly appreciated as I'm just not built for figuring this out!

Thanks
Title: Re: Trying to set weekly RR schedule for 9 players on 1 pickleball court (doubles)
Post by: Ian Wakeling on August 30, 2023, 02:51:36 AM
If you are wanting all pairs to partner once and oppose twice, then I don't think it is possible to have different players each week.  The best I can come up with is.

[(A D):(G H)]
[(C I):(B F)]
[(E F):(D G)]
[(A I):(C H)]
[(F G):(B H)]
[(A E):(D I)]
[(F I):(A G)]
[(D E):(B C)]
[(E I):(F H)]
[(B G):(A C)]
[(C F):(D H)]
[(B I):(E G)]
[(A F):(C E)]
[(B D):(H I)]
[(C G):(E H)]
[(D F):(A B)]
[(C D):(G I)]
[(B E):(A H)]

Week 7 is the worst as there are two players from the previous week, but otherwise 3 or 4 players are different.  For the 2nd 18 week period, use the same schedule, but make a different assignment of the letters A to I to the 9 players.