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Percolation analyses in a swarm based algorithm for shortest-path finding

Published: 16 March 2008 Publication History

Abstract

In this paper we show that the convergence in the Ant Colony Optimization (ACO) algorithm can be described as a "phase- transition" phenomenon. The analysis of the ACO with the Percolation Theory approach includes: the pheromone evaporation and the number of agents parameters, so, for a given routing environment, it is possible to select these parameters in order to ensure convergence and to avoid overhead in the algorithm. The objective of this work is to present some experiments that support our hypothesis and to show the methodology used to correlate some algorithm parameters and how they influence in its general performance.

References

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H. M. Balch T. Social potentials for scalable multi-robot formations. IEEE International Conference on Robotics and Automation, 2000.
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T. G. Bonabeau E., Dorigo M. Swarm Intelligence: From Natural to Artificial Systems. MIT Press, Cambridge, MA, 1999.
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A. R. C. Behavior-Based Robotics. MIT Press, Cambridge, MA, 1998.
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A. Efros. Fisica y Geometria del Desorden. Ed. Mir, Moscow, 1987. traslated. Belosov, S.
[5]
W. H. S. Kwang M. S. Ant colony optimization for routing and load-balancing: Survey and new direction. IEEE Transaction on systems, man, and cybernetics, Vol 33(No. 5), September 2003.
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H. R. Leung H. Phase transition in a swarm algorithm for self-organized construction. Physical Review, (E. 68), 2003.
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K. R. Leung H. Self-organized construction of spatial structures by swarms of autonomous mobile agents. Master's thesis, College of Engineering. University of Cincinnate., 2003.
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A. A. Stauffer D. Percolation Theory. Taylor and Francis, London, 1992.

Cited By

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  • (2010)Bidirectional Search Algorithm Based-On Index for Shortest Path Problem2010 International Conference on Computational Intelligence and Software Engineering10.1109/CISE.2010.5676739(1-4)Online publication date: Dec-2010
  • (2009)Performance analysis for the enhancement of ACO algorithms using Fourier transform2009 World Congress on Nature & Biologically Inspired Computing (NaBIC)10.1109/NABIC.2009.5393476(708-712)Online publication date: Dec-2009

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  1. Percolation analyses in a swarm based algorithm for shortest-path finding

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      cover image ACM Conferences
      SAC '08: Proceedings of the 2008 ACM symposium on Applied computing
      March 2008
      2586 pages
      ISBN:9781595937537
      DOI:10.1145/1363686
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Publication History

      Published: 16 March 2008

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      Author Tags

      1. agents behavior
      2. ant colony optimization
      3. percolation
      4. swarm intelligence

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      SAC '08
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      SAC '08: The 2008 ACM Symposium on Applied Computing
      March 16 - 20, 2008
      Fortaleza, Ceara, Brazil

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      Overall Acceptance Rate 1,650 of 6,669 submissions, 25%

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      View all
      • (2010)Bidirectional Search Algorithm Based-On Index for Shortest Path Problem2010 International Conference on Computational Intelligence and Software Engineering10.1109/CISE.2010.5676739(1-4)Online publication date: Dec-2010
      • (2009)Performance analysis for the enhancement of ACO algorithms using Fourier transform2009 World Congress on Nature & Biologically Inspired Computing (NaBIC)10.1109/NABIC.2009.5393476(708-712)Online publication date: Dec-2009

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