Round Robin Tournament Scheduling

Schedules - You must register to Post and Download => Requests => Topic started by: Jan Zander on September 03, 2020, 07:20:52 PM

Title: Needing help with scheduling 6 tennis players in a weekly rotation of doubles
Post by: Jan Zander on September 03, 2020, 07:20:52 PM

I wonder if anyone can help me schedule for 6 players rotating each week on one court, i.e. 4players at a time?  The winter schedule is 26 weeks long and each player should have approx. the same number of sessions and play with a variety of all 6 members. 
Thanks if someone can help solve this.

Title: Re: Needing help with scheduling 6 tennis players in a weekly rotation of doubles
Post by: Ian Wakeling on September 04, 2020, 04:17:41 AM

It makes most sense to design the schedule for 24 weeks, at which point it can be arranged that all players have had exactly 16 games, and 8 bye weeks, also it is possible to arrange that every player partners every other either 3 or 4 times, and every player opposes every other player either 6 or 7 times.  Below rows correspond to weeks, and after each scheduled game the 2 players with a bye are shown in brackets.

(5 4 v 2 1)   [3 6]
(6 5 v 3 2)   [1 4]
(4 6 v 1 3)   [2 5]
(5 2 v 1 6)   [3 4]
(4 1 v 3 5)   [2 6]
(6 3 v 2 4)   [1 5]
(2 3 v 5 1)   [4 6]
(1 6 v 4 2)   [3 5]
(5 6 v 3 4)   [1 2]
(1 2 v 4 3)   [5 6]
(3 5 v 6 1)   [2 4]
(4 5 v 2 6)   [1 3]
(3 1 v 6 2)   [4 5]
(6 4 v 1 5)   [2 3]
(2 4 v 5 3)   [1 6]
(2 6 v 4 1)   [3 5]
(3 6 v 5 4)   [1 2]
(2 1 v 5 3)   [4 6]
(2 5 v 4 6)   [1 3]
(1 3 v 4 2)   [5 6]
(1 5 v 6 3)   [2 4]
(3 4 v 5 2)   [1 6]
(1 4 v 6 5)   [2 3]
(3 2 v 6 1)   [4 5]

(2 5 v 3 4)   [1 6]
(1 4 v 3 6)   [2 5]

Above I have added on two extra rounds to make it up to 26 weeks - of course as 26 is not a mulitple of 3, the number of sessions can not be balanced and so players 3 and 4 end up with one more game than the other 4 players.  Hope that helps.