Optimization problem, for a sports tournament

[JE]

Hi all!

I am working on a C++ 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?

- Joakim

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[Jonathan Turkanis]

"JE" <us**@host.com> wrote in message
news:us*******************@129.177.130.126...

Hi all! I am working on a C++ program for managing a (real-life) sports
tournament.
<snip>
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.

You can convince me this isn't a homework assignment by giving the
name, date and location of the tournament.

Jonathan

[Karl Heinz Buchegger]

JE wrote:

Hi all!

I am working on a C++ 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?

Quick shot: Sounds like a variation of an backtracking problem.
Search the web for 'problem of stable marriage'

--
Karl Heinz Buchegger
kb******@gascad.at