Ant Colony Optimization and the Single Round Robin Maximum Value Problem

In this paper, we apply the ant colony optimization metaheuristic to the Single Round Robin Maximum Value Problem, a problem from sports scheduling. This problem contains both feasibility constraints and an optimization goal. We approach this problem using a combination of the metaheuristic with backtracking search. We show how using constraint satisfaction techniques can improve the hybrid's performance. We also show that our approach performs comparably to integer programming and better than tabu search when applied to the Single Round Robin Maximum Value Problem.

[1]  Michael A. Trick.  Integer and Constraint Programming Approaches for Round-Robin Tournament Scheduling , 2002, PATAT.

[2]  Thomas Stützle,et al.  ACO algorithms for the quadratic assignment problem , 1999 .

[3]  Rolf Drechsler,et al.  Applications of Evolutionary Computing, EvoWorkshops 2008: EvoCOMNET, EvoFIN, EvoHOT, EvoIASP, EvoMUSART, EvoNUM, EvoSTOC, and EvoTransLog, Naples, Italy, March 26-28, 2008. Proceedings , 2008, EvoWorkshops.

[4]  Riccardo Poli,et al.  New ideas in optimization , 1999 .

[5]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[6]  Michael A. Trick,et al.  Round robin scheduling - a survey , 2008, Eur. J. Oper. Res..

[7]  Michael Sampels,et al.  Ant Algorithms for the University Course Timetabling Problem with Regard to the State-of-the-Art , 2003, EvoWorkshops.

[8]  Edmund K. Burke,et al.  Practice and Theory of Automated Timetabling IV , 2002, Lecture Notes in Computer Science.

[9]  George L. Nemhauser,et al.  Solving the Travelling Tournament Problem: A Combined Integer Programming and Constraint Programming Approach , 2002, PATAT.

[10]  Andreas T. Ernst,et al.  Integrating ACO and Constraint Propagation , 2004, ANTS Workshop.

[11]  Bernd Meyer.  Constraint handling and stochastic ranking in ACO , 2005, 2005 IEEE Congress on Evolutionary Computation.

[12]  Thomas Stützle,et al.  Ant Colony Optimization and Swarm Intelligence , 2008 .

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

[14]  Thomas Stützle,et al.  Ant Colony Optimization , 2009, EMO.