Round Robin Tournament Scheduling

7 team round robin - only two games per day

Tom · 3 · 5632

Tom

  • Newbie
  • *
    • Posts: 1
on: January 21, 2008, 08:55:06 AM
We are planning a tournament with 7 teams which should be played in a single round robin mode on one pitch - however, due to time constraints we can only play two games per day in 11 consecutive days. Other condition is that each team should have a rest day after two consecutive match days.
I have seen all the schedules for 7 or 8 team formats - however they are all based on 3 or 4 matches per day and therefore do not really help.

Can anyone help me creating this tournament format?

Thanks!

Tom


sixty

  • Newbie
  • *
    • Posts: 7
Reply #1 on: January 21, 2008, 02:23:30 PM
here is a thought .. could you just take a 4 team schedule and split the matches into two days at a time trying to manually arrange them such that rest days worked out for your needs?


Ian Wakeling

  • Forum Moderator
  • God Member
  • *****
    • Posts: 1140
Reply #2 on: January 22, 2008, 02:52:37 AM
Yes, this problem is probably small enough to find a solution by hand.  Running it through a search program however, gives me the following:
 
 T1    T2
(A E) (- -)
(F G) (B C)
(C E) (A D)
(D F) (B G)
(A C) (E G)
(B F) (C D)
(B E) (A G)
(D G) (C F)
(A B) (D E)
(C G) (E F)
(B D) (A F)


Team A has the best timings, always having a rest.  Teams B, E and F have back-to-back play once, teams C, D and G, have two occurences of back-to-back play.

I believe that teams play 3 or 4 times at time 1 (T1) and 2 or 3 times at time 2 (T2).