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A deterministic metaheuristic approach using "logistic ants" for combinatorial optimization

Published: 08 September 2010 Publication History

Abstract

Ant algorithms are usually derived from a stochastic modeling based on some specific probability laws. We consider in this paper a full deterministic model of "logistic ants" which uses chaotic maps to govern the behavior of the artificial ants. We illustrate and test this approach on a TSP instance, and compare the results with the original Ant System algorithm. This change of paradigm--deterministic versus stochastic--implies a novel view of the internal mechanisms involved during the searching and optimizing process of ants.

References

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Charrier, R., Bourjot, C., Charpillet, F.: A nonlinear multi-agent system designed for swarm intelligence: The logistic MAS. In: International Conference on Self-Adaptive and Self-Organizing Systems, SASO 2007, Boston (2007).
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Cole, B.J.: Is animal behaviour chaotic? Evidence from the activity of ants. Proceedings of the Royal Society: Biological Sciences 244(1311), 253-259 (1991).
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Collet, P., Eckmann, J.P.: Iterated Maps on the Interval as Dynamical System. Birkhäuser, Basel (1980).
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Deneubourg, J., Aron, S., Goss, S., Pasteels, J.: The self-organizing exploratory pattern of the Argentine ant. Insect Behavior 3, 159-168 (1990).
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Dorigo, M., Stützle, T.: Ant Colony Optimization. The MIT Press, Cambridge (2004).
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Miramontes, O., Solé, R.V., Goodwin, B.C.: Neural networks as sources of chaotic motor activity in ants and how complexity develops at the social scale. International Journal of Bifurcation and Chaos 11(6), 1655-1664 (2001).

Cited By

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  • (2018)Optimization of neural network using kidney-inspired algorithm with control of filtration rate and chaotic map for real-world rainfall forecastingEngineering Applications of Artificial Intelligence10.1016/j.engappai.2017.09.01267:C(246-259)Online publication date: 1-Jan-2018
  • (2015)Optimization of neural network model using modified bat-inspired algorithmApplied Soft Computing10.1016/j.asoc.2015.08.00237:C(71-86)Online publication date: 1-Dec-2015

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Information

Published In

cover image Guide Proceedings
ANTS'10: Proceedings of the 7th international conference on Swarm intelligence
September 2010
582 pages

Sponsors

  • AntOptima
  • FNRS: National Fund for Scientific Research - Belgium
  • Wolfram Research: Wolfram Research
  • French Community of Belgium
  • ECCAI: European Coordinating Committee on Artifical Intelligence

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 08 September 2010

Author Tags

  1. ant algorithm
  2. chaotic map
  3. metaheuristics
  4. optimization
  5. swarm intelligence

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View all
  • (2018)Optimization of neural network using kidney-inspired algorithm with control of filtration rate and chaotic map for real-world rainfall forecastingEngineering Applications of Artificial Intelligence10.1016/j.engappai.2017.09.01267:C(246-259)Online publication date: 1-Jan-2018
  • (2015)Optimization of neural network model using modified bat-inspired algorithmApplied Soft Computing10.1016/j.asoc.2015.08.00237:C(71-86)Online publication date: 1-Dec-2015

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