Abstract
The Mirrored Traveling Tournament Problem (mTTP) is an optimization problem that represents certain types of sports timetabling, where the objective is to minimize the total distance traveled by the teams. This work proposes the use of hybrid heuristic to solve the mTTP, using an evolutionary algorithm in association with the metaheuristic Simulated Annealing. It suggests the use of Genetic Algorithm with a compact genetic codification in conjunction with an algorithm to expand the code. The validation of the results will be done in benchmark problems available in literature and real benchmark problems, e.g. Brazilian Soccer Championship.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anagnostopoulos, A., Michel, L., Van Hentenryck, P., Vergados, Y.: A Simulated Annealing Approach to the Traveling Tournament Problem. In: Proceedings of Cpaior 2003 (2003)
Biajoli, F.L., Chaves, A.A., Mine, O.M., Souza, M.J.F., Pontes, R.C., Lucena, A., Cabral, L.F.: Scheduling the Brazilian Soccer Championship: A Simulated Annealing Approach. In: Burke, E.K., Trick, M.A. (eds.) PATAT 2004. LNCS, vol. 3616, pp. 433–437. Springer, Heidelberg (2005)
Concílio, R., Zuben, F.J.: Uma Abordagem Evolutiva para Geração Automática de Turnos Completos em Torneios. Revista Controle e Automação 13(2), 105–122 (2002)
Costa, D.: An Evolutionary Tabu Search Algorithm and the NHL Scheduling Problem. Infor. 33(3), 161–178 (1995)
Dinitz, J., Lamken, E., Wallis, W.D.: Scheduling a Tournament. In: Colbourn, C.J., Dinitz, J. (eds.) Handbook of Combinatorial Designs, pp. 578–584. CRC Press, Boca Raton (1995)
Dowsland, K.A.: Simulated Annealing. In: Reeves, C.R. (ed.) Modern Heuristic Techniques for Combinatorial Problems, Advanced Topics in Computer Science Series, ch. 2. pp. 20–69. Blackwell Scientific Publications, London (1993)
Easton, K., Nemhauser, G., Trick, M.: The Traveling Tournament Problem Description and Benchmarks. In: Jaffar, J. (ed.) CP 1999. LNCS, vol. 1713, pp. 580–589. Springer, Heidelberg (2000)
Goldberg, D.E.: Genetic Algorithms in Search. In: Optimization and Machine Learning, p. 223. Addison-Wesley, Berkeley (1989)
Hamiez, J.P., Hao, J.K.: Solving the sports league scheduling problem with tabu search. In: Nareyek, A. (ed.) ECAI-WS 2000. LNCS (LNAI), vol. 2148, pp. 24–36. Springer, Heidelberg (2001)
Holland, J.H.: Adaptation in Natural and Artificial Systems, p. 211. University of Michigan Press, Ann Arbor (1975)
Kirkpatrick, S., Gellat, D.C., Vecchi, M.P.: Optimization by Simulated Annealing. Science 220, 671–680 (1983)
Nemhauser, G., Trick, M.: Scheduling a Major College Basketball Conference. Operations Research 46(1), 1–8 (1998)
Ribeiro, C.C., Urrutia, S.: Heuristics for the Mirrored Traveling Tournament Problem. In: Burke, E.K., Trick, M.A. (eds.) PATAT 2004. LNCS, vol. 3616, pp. 323–342. Springer, Heidelberg (2004)
Schönberger, J., Mattfeld, D.C., Kopfer, H.: Memetic Algorithm Timetabling for Non-Commercial Sport Leagues. European Journal of Operational Research 153(1), 102–116 (1989)
Syswerda, G.: Uniform Crossover in Genetic Algorithms. In: International Conference on Genetic Algorithms (ICGA), Virginia, USA, vol. 3, pp. 2–9 (1989)
Trick, M.A.: A schedule-then-break approach to sports timetabling. In: Burke, E., Erben, W. (eds.) PATAT 2000. LNCS, vol. 2079, pp. 242–253. Springer, Heidelberg (2000)
Whitley, D., Gordon, V.S., Mathiask, K.: Lamarckian Evolution, the Baldwin Effect and Function Optimization. In: Davidor, Y., Männer, R., Schwefel, H.-P. (eds.) PPSN 1994. LNCS, vol. 866, pp. 6–15. Springer, Heidelberg (1994)
Zhang, H.: Generating College Conference Basketball Schedules by a Sat Solver. In: Proceedings Of The Fifth International Symposium on the Theory and Applications of Satisfiability Testing, Cincinnati, pp. 281–291 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Biajoli, F.L., Lorena, L.A.N. (2006). Mirrored Traveling Tournament Problem: An Evolutionary Approach. In: Sichman, J.S., Coelho, H., Rezende, S.O. (eds) Advances in Artificial Intelligence - IBERAMIA-SBIA 2006. IBERAMIA SBIA 2006 2006. Lecture Notes in Computer Science(), vol 4140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11874850_25
Download citation
DOI: https://doi.org/10.1007/11874850_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45462-5
Online ISBN: 978-3-540-45464-9
eBook Packages: Computer ScienceComputer Science (R0)