Click here to Skip to main content
Rate this: bad
good
Please Sign up or sign in to vote.
See more: Algorithms
I am looking for an algorithm which can determine a schedule of games to be played given the following parameters.
 
- There are 12 teams in the league
- There are 4 venues
- Every Wednesday for 11 weeks, each team plays 2 other teams at one of the specified venues; thus each team will play 22 matches in the season
- Every team must play every other team exactly twice throughout the season
 
Essentially, you just need to group the teams in blocks of 3 each week such that they only appear in the same group as another team twice in the season.
 
Here would be an example of the first couple weeks:
 
Week 1: Venue A: 1,2,3; Venue B: 4,5,6; Venue C: 7,8,9; Venue D: 10, 11, 12
Week 2: Venue A: 1,5,9; Venue B: 2,6,10; Venue C: 3,7,11; Venue D: 4, 8, 12
.
.
.
Week 11: ?
 
Testing all the combinations is obviously not feasible. Any help would be greatly appreciated.
Posted 8-Mar-13 3:56am
Edited 8-Mar-13 4:50am
v2
Comments
Mike Meinz at 8-Mar-13 9:29am
   
Do you mean "Round Robin"?
MichaelBergsma at 8-Mar-13 9:50am
   
Yes, yes I do.
Sandeep Mewara at 8-Mar-13 11:06am
   
What are your thoughts? Tried anything so far?
MichaelBergsma at 8-Mar-13 11:54am
   
I read througth http://en.wikipedia.org/wiki/Round-robin_tournament and tried a modified version of the diagonal scheme but since I need teams to be group in three instead of 2, it makes it more difficult.
MichaelBergsma at 8-Mar-13 13:02pm
   
I didn't realize what a can of worms this was.
 
http://en.wikipedia.org/wiki/Steiner_system
http://en.wikipedia.org/wiki/Kirkman's_schoolgirl_problem
http://demonstrations.wolfram.com/SocialGolferProblem/

This content, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)



Advertise | Privacy | Mobile
Web04 | 2.8.141220.1 | Last Updated 8 Mar 2013
Copyright © CodeProject, 1999-2014
All Rights Reserved. Terms of Service
Layout: fixed | fluid

CodeProject, 503-250 Ferrand Drive Toronto Ontario, M3C 3G8 Canada +1 416-849-8900 x 100