A New Learning Hyper-heuristic for the Traveling Tournament Problem

In this paper we propose a new hyper-heuristic that is composed of a simple selection mechanism based on a learning automaton and a new acceptance mechanism, i.e. the Iteration Limited Threshold Accepting criterion. This hyper-heuristic is applied to the challenging Traveling Tournament Problem. We show that the new hyper-heuristic method consistently outperforms the Simple Random hyper-heuristic even with a small number of low-level heuristics. Moreover, our method, although very general, generates high-quality solutions for the known Traveling Tournament Problem benchmarks and oers new solutions for the recently added Super instances.

[1]  Ender Özcan,et al.  An Experimental Study on Hyper-heuristics and Exam Timetabling , 2006, PATAT.

[2]  T. Benoist,et al.  Lagrange Relaxation and Constraint Programming Collaborative schemes for Traveling Tournament Problems , 2001 .

[3]  X. Zhang,et al.  A simulated annealing and hill-climbing algorithm for the traveling tournament problem , 2006, Eur. J. Oper. Res..

[4]  Guillermo Durán,et al.  UN ALGORITMO TABU SEARCH PARA EL TRAVELING TOURNAMENT PROBLEM , 2002 .

[5]  Kumpati S. Narendra,et al.  Learning automata - an introduction , 1989 .

[6]  Hantao Zhang,et al.  Greedy Big Steps as a Meta-Heuristic for Combinatorial Search , 2004 .

[7]  Graham Kendall,et al.  An Ant Based Hyper-heuristic for the Travelling Tournament Problem , 2007, 2007 IEEE Symposium on Computational Intelligence in Scheduling.

[8]  Luca Di Gaspero,et al.  A composite-neighborhood tabu search approach to the traveling tournament problem , 2007, J. Heuristics.

[9]  M. Thathachar,et al.  Networks of Learning Automata: Techniques for Online Stochastic Optimization , 2003 .

[10]  Graham Kendall,et al.  Hyper-Heuristics: An Emerging Direction in Modern Search Technology , 2003, Handbook of Metaheuristics.

[11]  Pascal Van Hentenryck,et al.  A simulated annealing approach to the traveling tournament problem , 2006, J. Sched..

[12]  Pascal Van Hentenryck,et al.  Population-Based Simulated Annealing for Traveling Tournaments , 2007, AAAI.

[13]  George L. Nemhauser,et al.  The Traveling Tournament Problem Description and Benchmarks , 2001, CP.