Optimization problem, for a sports tournament

[JE]

Hi all!

I am working on a Perl program for managing a (real-life) sports
tournament. There are 10 teams involved, which all are to play against
every other team exactly once. Thus, each team plays a total of 9 matches.

The tournament is divided into 3 "rounds", each consisting of 15 matches.
All 10 teams are present at each round, and must play exactly 3 of their 9
matches per round. All 15 matches in a round are to be played at one and
the same field, so only one match can be played at a time.

The problem is to create an efficient playing program for each round, so
that the waiting time between any team's matches will be minimized.


Does anyone have a good algorithm for solving such an optimization problem?

Thanks!

- Joakim

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