Round Robin Tournament Scheduling

22 Person Doubles Round Robin Pickleball League

rmerriman · 2 · 697

rmerriman

  • Newbie
  • *
    • Posts: 0
on: November 17, 2023, 05:08:50 PM
I have been tasked with developing a doubles round robin pickleball league for my company.

We have 22 players, and we want each scheduled doubles match to play a round robin - we want everyone to play everyone once over the course of the league, but do not want to have duplicate games/players playing with each other.

I found this solution for 24 players, but was curious if it was possible for 22 players and if so, could someone provide a similar layout as listed below (for instance in the first match ABKU, it would be A & B vs K & U; A & K vs B & U; A & U vs B & K):

Day1 ABKU IJSE QRCM DGFX HLNO PTVW
Day2 ACLV IKTF QSDN EHGR BMOP JUWX
Day3 ADMW ILUG QTEO FBHS CJNP KRVX
Day4 AENX IMVH QUFP GCBT DJKO LRSW
Day5 AFOR INWB QVGJ HDCU EKLP MSTX
Day6 AGPS IOXC QWHK BEDV FJLM NRTU
Day7 AHJT IPRD QXBL CFEW GKMN OSUV


Ian Wakeling

  • Forum Moderator
  • God Member
  • *****
    • Posts: 1140
Reply #1 on: November 20, 2023, 12:35:25 PM
Nothing so nice will be possible if there is not a multiple of 4 players.  The schedule you give for 24 has the property that no two players are on court together more than once, and some players do not meet.  If that's what you want for 22 players, then the best that I can do is 6 rounds as follows:

( 1 13 11 16)  (12 19  6 10)  ( 5  2 15 20)  (18 14  8  9)  ( 4 17  3  7)
(18 16 17  5)  ( 8  2 13  7)  (22 12 14  3)  (15  1  4 10)  ( 9 21 11  6)
( 8 11  5 10)  ( 7  1 14 19)  (13 20  3  6)  (15 16 21 22)  ( 9  4 12  2)
( 9 13 19 17)  ( 3 18 10  2)  ( 4 20 11 14)  ( 6  5 22  7)  (21  8  1 12)
(15 12 18  7)  (16  8  4  6)  ( 5  9  3  1)  (19 22  2 11)  (17 10 20 21)
( 2  6 14 17)  ( 3 19  8 15)  (21  4 13  5)  (18  1 20 22)  ( 7 10  9 16)

Players 11 to 22 have a bye and so have one less game than players 1 to 10.  It might be more sensible to look for an 11 round schedule where everyone has exactly one bye, and some players play together twice, but I don't think you want that?