Skip to main content

Ant Colony Optimization on a Budget of 1000

  • Conference paper
Swarm Intelligence (ANTS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8667))

Included in the following conference series:

Abstract

Ant Colony Optimization (ACO) was originally developed as an algorithmic technique for tackling NP-hard combinatorial optimization problems. Most of the research on ACO has focused on algorithmic variants that obtain high-quality solutions when computation time allows the evaluation of a very large number of candidate solutions, often in the order of millions. However, in situations where the evaluation of solutions is very costly in computational terms, only a relatively small number of solutions can be evaluated within a reasonable time. This situation may arise, for example, when evaluation requires simulation. In such a situation, the current knowledge on the best ACO strategies and the range of the best settings for various ACO parameters may not be applicable anymore. In this paper, we start an investigation of how different ACO algorithms behave if they have available only a very limited number of solution evaluations, say, 1000. We show that, after tuning the parameter settings for this type of scenario, still the original Ant System performs relatively poor compared to other ACO strategies. However, the best parameter settings for such a small evaluation budget are very different from the standard recommendations available in the literature.

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. April, J., Glover, F., Kelly, J., Laguna, M.: Practical introduction to simulation optimization. In: Proceedings of the 2003 Winter Simulation Conference, vol. 1, pp. 71–78 (December 2003)

    Google Scholar 

  2. Balaprakash, P., Birattari, M., Stützle, T.: Improvement strategies for the F-race algorithm: Sampling design and iterative refinement. In: Bartz-Beielstein, T., Blesa Aguilera, M.J., Blum, C., Naujoks, B., Roli, A., Rudolph, G., Sampels, M. (eds.) HM 2007. LNCS, vol. 4771, pp. 108–122. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Bersini, H., Dorigo, M., Langerman, S., Seront, G., Gambardella, L.M.: Results of the first international contest on evolutionary optimisation. In: Bäck, T., Fukuda, T., Michalewicz, Z. (eds.) Proceedings of ICEC 1996, pp. 611–615. IEEE Press, Piscataway (1996)

    Google Scholar 

  4. Bullnheimer, B., Hartl, R., Strauss, C.: A new rank-based version of the Ant System: A computational study. Central European Journal for Operations Research and Economics 7(1), 25–38 (1999)

    MATH  MathSciNet  Google Scholar 

  5. Dorigo, M.: Optimization, Learning and Natural Algorithms. Ph.D. thesis, Dipartimento di Elettronica, Politecnico di Milano, Italy (1992) (in Italian)

    Google Scholar 

  6. Dorigo, M., Gambardella, L.M.: Ant Colony System: A cooperative learning approach to the traveling salesman problem. IEEE Transactions on Evolutionary Computation 1(1), 53–66 (1997)

    Article  Google Scholar 

  7. Dorigo, M., Maniezzo, V., Colorni, A.: Ant System: Optimization by a colony of cooperating agents. IEEE Transactions on Systems, Man, and Cybernetics – Part B 26(1), 29–41 (1996)

    Article  Google Scholar 

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

    Book  MATH  Google Scholar 

  9. Gambardella, L.M., Montemanni, R., Weyland, D.: Coupling ant colony systems with strong local searches. European Journal of Operational Research 220(3), 831–843 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  10. Hoos, H.H., Stützle, T.: Stochastic Local Search—Foundations and Applications. Morgan Kaufmann Publishers, San Francisco (2005)

    MATH  Google Scholar 

  11. Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. Journal of Global Optimization 13(4), 455–492 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  12. Knowles, J.D., Corne, D., Reynolds, A.P.: Noisy multiobjective optimization on a budget of 250 evaluations. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 36–50. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  13. López-Ibáñez, M., Dubois-Lacoste, J., Stützle, T., Birattari, M.: The irace package, iterated race for automatic algorithm configuration. Tech. Rep. TR/IRIDIA/2011-004, IRIDIA, Université Libre de Bruxelles, Belgium (2011), http://iridia.ulb.ac.be/IridiaTrSeries/IridiaTr2011-004.pdf

  14. López-Ibáñez, M., Prasad, T.D., Paechter, B.: Ant colony optimisation for the optimal control of pumps in water distribution networks. Journal of Water Resources Planning and Management, ASCE 134(4), 337–346 (2008)

    Article  Google Scholar 

  15. López-Ibáñez, M., Stützle, T.: Automatically improving the anytime behaviour of optimisation algorithms. European Journal of Operational Research 235(3), 569–582 (2014)

    Article  MathSciNet  Google Scholar 

  16. Maur, M., López-Ibáñez, M., Stützle, T.: Pre-scheduled and adaptive parameter variation in \(\mathcal{MAX}\)\(\mathcal{MIN}\) Ant System. In: Ishibuchi, H., et al. (eds.) Proceedings of CEC 2010, pp. 3823–3830. IEEE Press, Piscataway (2010)

    Google Scholar 

  17. Pellegrini, P., Birattari, M., Stützle, T.: A critical analysis of parameter adaptation in ant colony optimization. Swarm Intelligence 6(1), 23–48 (2012)

    Article  Google Scholar 

  18. Pellegrini, P., Favaretto, D., Moretti, E.: On \(\cal M\!AX\!\)\(\cal MI\!N\!\) ant system’s parameters. In: Dorigo, M., Gambardella, L.M., Birattari, M., Martinoli, A., Poli, R., Stützle, T. (eds.) ANTS 2006. LNCS, vol. 4150, pp. 203–214. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  19. Pellegrini, P., Mascia, F., Stützle, T., Birattari, M.: On the sensitivity of reactive tabu search to its meta-parameters. Soft Computing (in press)

    Google Scholar 

  20. Stützle, T.: ACOTSP: A software package of various ant colony optimization algorithms applied to the symmetric traveling salesman problem (2002), http://www.aco-metaheuristic.org/aco-code/

  21. Stützle, T., Hoos, H.H.: \(\mathcal{MAX}\)\(\mathcal{MIN}\) Ant System. Future Generation Computer Systems 16(8), 889–914 (2000)

    Article  Google Scholar 

  22. Stützle, T., López-Ibáñez, M., Pellegrini, P., Maur, M., Montes de Oca, M.A., Birattari, M., Dorigo, M.: Parameter adaptation in ant colony optimization. In: Hamadi, Y., Monfroy, E., Saubion, F. (eds.) Autonomous Search, pp. 191–215. Springer, Berlin (2012)

    Google Scholar 

  23. Teixeira, C., Covas, J., Stützle, T., Gaspar-Cunha, A.: Multi-objective ant colony optimization for solving the twin-screw extrusion configuration problem. Engineering Optimization 44(3), 351–371 (2012)

    Article  Google Scholar 

  24. Zeng, Q., Yang, Z.: Integrating simulation and optimization to schedule loading operations in container terminals. Computers & Operations Research 36(6), 1935–1944 (2009)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Pérez Cáceres, L., López-Ibáñez, M., Stützle, T. (2014). Ant Colony Optimization on a Budget of 1000. In: Dorigo, M., et al. Swarm Intelligence. ANTS 2014. Lecture Notes in Computer Science, vol 8667. Springer, Cham. https://doi.org/10.1007/978-3-319-09952-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09952-1_5

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09951-4

  • Online ISBN: 978-3-319-09952-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics