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Analytical And Numerical Investigation Of Ant Behavior Under Crowded Conditions

Author

Listed:
  • KARSTEN PETERS

    (Institute for Transport and Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden, Germany)

  • ANDERS JOHANSSON

    (Institute for Transport and Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden, Germany)

  • AUDREY DUSSUTOUR

    (School of Biological Sciences, Heydon Laurence Building A08, The University of Sydney, 2006 New South Wales, Australia)

  • DIRK HELBING

    (Institute for Transport and Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden, Germany;
    Collegium Budapest, Institute for Advanced Study, Szentháromság u. 2, 1014 Budapest, Hungary)

Abstract

Swarm intelligence is widely recognized as a powerful paradigm of self-organized optimization, with numerous examples of successful applications in distributed artificial intelligence. However, the role of physical interactions in the organization of traffic flows in ants under crowded conditions has only been studied very recently. The related results suggest new ways of congestion control and simple algorithms for optimal resource usage based on local interactions and, therefore, decentralized control concepts. Here, we present a mathematical analysis of such concepts for an experiment with two alternative ways with limited capacities between a food source and the nest of an ant colony. Moreover, we carry out microscopic computer simulations for generalized setups, in which ants have more alternatives or the alternative ways are of different lengths. In this way and by variation of interaction parameters, we can get a better idea of how powerful congestion control based on local repulsive interactions may be. Finally, we discuss potential applications of this design principle to routing in traffic or data networks and machine usage in supply systems.

Suggested Citation

  • Karsten Peters & Anders Johansson & Audrey Dussutour & Dirk Helbing, 2006. "Analytical And Numerical Investigation Of Ant Behavior Under Crowded Conditions," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 337-352.
    • Handle: RePEc:wsi:acsxxx:v:09:y:2006:i:04:n:s0219525906000859
    DOI: 10.1142/S0219525906000859
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    References listed on IDEAS

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    1. van Damme, E.E.C., 2000. "Eerlijk delen," Other publications TiSEM b25da10f-89fc-48b6-866a-d, Tilburg University, School of Economics and Management.
    2. -, 2000. "Introdução à técnica de planejamento," Copublicaciones, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), number 1617.
    3. van Damme, E.E.C., 2000. "Nobelprijs voor nuttige econometrie," Other publications TiSEM 88c2ad26-cefa-4176-bdc7-b, Tilburg University, School of Economics and Management.
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