AAAI Publications, Twenty-Eighth AAAI Conference on Artificial Intelligence

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Solving the Traveling Tournament Problem by Packing Three-Vertex Paths
Marc Goerigk, Richard Hoshino, Ken-ichi Kawarabayashi, Stephan Westphal

Last modified: 2014-06-21


The Traveling Tournament Problem (TTP) is a complex problem in sports scheduling whose solution is a schedule of home and away games meeting specific feasibility requirements, while minimizing the total distance traveled by all the teams. A recently-developed "hybrid" algorithm, combining local search and integer programming, has resulted in best-known solutions for many TTP instances. In this paper, we tackle the TTP from a graph-theoretic perspective, by generating a new "canonical" schedule in which each team's three-game road trips match up with the underlying graph's minimum-weight P_3-packing. By using this new schedule as the initial input for the hybrid algorithm, we develop tournament schedules for five benchmark TTP instances that beat all previously-known solutions.


traveling tournament problem; heuristic search; graph theory; scheduling theory

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