Skip to main content

Ant Colony Optimization and the Single Round Robin Maximum Value Problem

  • Conference paper
Ant Colony Optimization and Swarm Intelligence (ANTS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5217))

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Crauwels, H., Van Oudheusden, D.: Ant Colony Optimization and Local Improvement. In: Workshop of Real-Life Applications of Metaheuristics, Antwerp (2003)

    Google Scholar 

  2. Dorigo, M., Stützle, T.: Ant Colony Optimization. MIT Press, Cambridge (2004)

    MATH  Google Scholar 

  3. Easton, K., Nemhauser, G., Trick, M.: Solving the Travelling Tournament Problem: A Combined Integer Programming and Constraint Programming Approach. In: Burke, E.K., De Causmaecker, P. (eds.) PATAT 2002. LNCS, vol. 2740, pp. 100–109. Springer, Heidelberg (2003)

    Google Scholar 

  4. Di Gaspero, L., Schaerf, A.: A Composite-Neighborhood Tabu Search Approach to the Traveling Tournament Problem. J. Heuristics 13, 189–207 (2007)

    Article  Google Scholar 

  5. Meyer, B.: Constraint Handling and Stochastic Ranking in ACO. The 2005 IEEE Congress on Evolutionary Computation 3, 2683–2690 (2005)

    Article  Google Scholar 

  6. Meyer, B., Ernst, A.: Integrating ACO and Constraint Propagation. In: Dorigo, M., Birattari, M., Blum, C., Gambardella, L.M., Mondada, F., Stützle, T. (eds.) ANTS 2004. LNCS, vol. 3172, pp. 166–177. Springer, Heidelberg (2004)

    Google Scholar 

  7. Rasmussen, R.V., Trick, M.A.: Round Robin Scheduling - A Survey. European Journal of Operations Research 188, 617–636 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  8. Russell, S., Norvig, P.: Artificial Intelligence: A Modern Approach, 2nd edn. Prentice Hall, New Jersey (2003)

    Google Scholar 

  9. Socha, K., Sampels, M., Manfrin, M.: Ant Algorithms for the University Course Timetabling Problem with Regard to the State-of-the-Art. In: Raidl, G.R., Cagnoni, S., Cardalda, J.J.R., Corne, D.W., Gottlieb, J., Guillot, A., Hart, E., Johnson, C.G., Marchiori, E., Meyer, J.-A., Middendorf, M. (eds.) EvoIASP 2003, EvoWorkshops 2003, EvoSTIM 2003, EvoROB/EvoRobot 2003, EvoCOP 2003, EvoBIO 2003, and EvoMUSART 2003. LNCS, vol. 2611, pp. 334–345. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  10. Stützle, T.: MAX-MIN Ant System for Quadratic Assignment Problems. Technical report AIDA-97-4, FG Intellektik, FB Informatik, TU Darmstadt, Germany (1997)

    Google Scholar 

  11. Stützle, T., Dorigo, M.: ACO Algorithms for the Quadratic Assignment Problem. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 33–50. McGraw-Hill, London (1999)

    Google Scholar 

  12. Trick, M.A.: Integer and Constraint Programming Approaches for Round Robin Tournament Scheduling. In: Burke, E.K., De Causmaecker, P. (eds.) PATAT 2002. LNCS, vol. 2740, pp. 63–77. Springer, Heidelberg (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marco Dorigo Mauro Birattari Christian Blum Maurice Clerc Thomas Stützle Alan F. T. Winfield

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Uthus, D.C., Riddle, P.J., Guesgen, H.W. (2008). Ant Colony Optimization and the Single Round Robin Maximum Value Problem. In: Dorigo, M., Birattari, M., Blum, C., Clerc, M., Stützle, T., Winfield, A.F.T. (eds) Ant Colony Optimization and Swarm Intelligence. ANTS 2008. Lecture Notes in Computer Science, vol 5217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87527-7_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87527-7_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87526-0

  • Online ISBN: 978-3-540-87527-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics