Skip to main content

Competition Controlled Pheromone Update for Ant Colony Optimization

  • Conference paper
Ant Colony Optimization and Swarm Intelligence (ANTS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3172))

Abstract

Pheromone information is used in Ant Colony Optimization (ACO) to guide the search process and to transfer knowledge from one iteration of the optimization algorithm to the next. Typically, in ACO all decisions that lead an ant to a good solution are considered as of equal importance and receive the same amount of pheromone from this ant (assuming the ant is allowed to update the pheromone information). In this paper we show that the decisions of an ant are usually made under situations with different strength of competition. Thus, the decisions of an ant do not have the same value for the optimization process and strong pheromone update should be prevented when competition is weak. We propose a measure for the strength of competition that is based on Kullback-Leibler distances. This measure is used to control the update of the pheromone information so that solutions components that correspond to decisions that were made under stronger competition receive more pheromone. We call this update procedure competition controlled pheromone update. The potential usefulness of competition controlled pheromone update is shown first on simple test problems for a deterministic model of ACO. Then we show how the new update method can be applied for ACO algorithms.

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. Blum, C., Sampels, M.: Ant Colony Optimization for FOP Shop scheduling: A case study on different pheromone representations. In: Proc. of the 2002 Congress on Evolutionary Computation (CEC 2002), pp. 1558–1563 (2002)

    Google Scholar 

  2. Bullnheimer, B., Hartl, R.F., Strauss, C.: A new rank based version of the ant system - a computational study. Central Europ. J. Oper. Res. 7(1), 25–38 (1999)

    MATH  MathSciNet  Google Scholar 

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

    Google Scholar 

  4. Dorigo, M., Di Caro, G.: The ant colony optimization meta-heuristic. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 11–32. McGraw-Hill, New York (1999)

    Google Scholar 

  5. Dorigo, M., Maniezzo, V., Colorni, A.: The Ant System: Optimization by a Colony of Cooperating Agents. IEEE Trans. Systems, Man, and Cybernetics – Part B 26, 29–41 (1996)

    Article  Google Scholar 

  6. Dorigo, M., Zlochin, M., Meuleau, N., Birattari, M.: Updating ACO Pheromones Using Stochastic Gradient Ascent and Cross-Entropy Methods. In: Cagnoni, S., Gottlieb, J., Hart, E., Middendorf, M., Raidl, G.R. (eds.) EvoIASP 2002, EvoWorkshops 2002, EvoSTIM 2002, EvoCOP 2002, and EvoPlan 2002. LNCS, vol. 2279, pp. 21–30. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  7. Meuleau, N., Dorigo, M.: Ant colony optimization and stochastic gradient descent. Artificial Life 8(2), 103–121 (2002)

    Article  Google Scholar 

  8. Merkle, D., Middendorf, M.: An Ant Algorithm with a new Pheromone Evaluation Rule for Total Tardiness Problems. In: Oates, M.J., Lanzi, P.L., Li, Y., Cagnoni, S., Corne, D.W., Fogarty, T.C., Poli, R., Smith, G.D. (eds.) EvoIASP 2000, EvoWorkshops 2000, EvoFlight 2000, EvoSCONDI 2000, EvoSTIM 2000, EvoTEL 2000, and EvoROB/EvoRobot 2000. LNCS, vol. 1803, pp. 287–296. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  9. Merkle, D., Middendorf, M.: A New Approach to Solve Permutation Scheduling Problems with Ant Colony Optimization. In: Boers, E.J.W., Gottlieb, J., Lanzi, P.L., Smith, R.E., Cagnoni, S., Hart, E., Raidl, G.R., Tijink, H. (eds.) EvoIASP 2001, EvoWorkshops 2001, EvoFlight 2001, EvoSTIM 2001, EvoCOP 2001, and EvoLearn 2001. LNCS, vol. 2037, pp. 213–222. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  10. Merkle, D., Middendorf, M.: Ant colony optimization with the relative pheromone evaluation method. In: Cagnoni, S., Gottlieb, J., Hart, E., Middendorf, M., Raidl, G.R. (eds.) EvoIASP 2002, EvoWorkshops 2002, EvoSTIM 2002, EvoCOP 2002, and EvoPlan 2002. LNCS, vol. 2279, pp. 325–333. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. Merkle, D., Middendorf, M.: Modelling the Dynamics of Ant Colony Optimization Algorithms. Evolutionary Computation 10(3), 235–262 (2002)

    Article  Google Scholar 

  12. Merkle, D., Middendorf, M.: Modelling ACO: Composed Permutation Problems. In: Dorigo, M., Di Caro, G.A., Sampels, M. (eds.) Ant Algorithms 2002. LNCS, vol. 2463, pp. 149–162. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  13. Merkle, D., Middendorf, M., Schmeck, H.: Ant Colony Optimization for Resource-Constrained Project Scheduling. IEEE Transactions on Evolutionary Computation 6(4), 333–346 (2002)

    Article  Google Scholar 

  14. Randall, M., Tonkes, E.: Intensification and Diversification Strategies in Ant Colony Optimisation. TR00-02, School of Inf. Technology, Bond University (2000)

    Google Scholar 

  15. Stützle, T., Hoos, H.H.: MAX-MIN Ant System. Future Generation Computer Systems 16(8), 889–914 (2000)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Merkle, D., Middendorf, M. (2004). Competition Controlled Pheromone Update for Ant Colony Optimization. In: Dorigo, M., Birattari, M., Blum, C., Gambardella, L.M., Mondada, F., Stützle, T. (eds) Ant Colony Optimization and Swarm Intelligence. ANTS 2004. Lecture Notes in Computer Science, vol 3172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28646-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-28646-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22672-7

  • Online ISBN: 978-3-540-28646-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics