Round Robin Tournament Scheduling

10 Team Round Robin with only 4 matches per round

Alex89 · 5 · 4546

Alex89

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on: September 29, 2023, 09:36:45 PM
Hi Everyone, love the Website, I have a problem that I'm not sure is possible to solve.
We have 10 teams and can play 4 matches per round, this means 2 teams will have a bye each round.
I know we'll need to have at least 23 rounds to ensure each team plays every other team at least twice and that some teams will need to play each other more than twice but I think that there's potentially more rounds needed as the 4 matches/round/bye requirement adds complexity.

I can't figure out how to schedule it and just want to check if it's even possible without an insane number of rounds?




Ian Wakeling

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Reply #1 on: October 02, 2023, 04:23:47 PM
For the double round robin with 10 teams there are 90 matches to play.  So why not have 22 rounds withe 4 matches per round, and one short round with just 2 matches?


Alex89

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Reply #2 on: October 05, 2023, 07:44:05 AM
Thank you, this is how I ended up doing it. I had to manually plot out the matchups though as I couldn't figure out how to do via a round robin generator/algorithm. Manually plotted out via essentially a punnet square and then a week in one of the teams dropped out of the tournament!


gmctt

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Reply #3 on: December 16, 2023, 08:39:39 AM

Here is a court balanced (almost) for 24 weeks with round 1 and round 12 split over 2 weeks.
You could rearrange those rounds to make it 23 weeks.


The bye distances in rounds 2 to 11 were:



The table usage was balanced for each team almost:

« Last Edit: December 16, 2023, 09:51:52 AM by gmctt »


Ian Wakeling

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Reply #4 on: December 16, 2023, 02:42:42 PM
Thanks for posting the schedule gmctt - very nice!