Optimization problem, for a sports tournament

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    Optimization problem, for a sports tournament

    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

    --
    joakim.knudsen@ nospam.spray.no

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