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Cellular Antomata

Author

Listed:
  • ARNOLD L. ROSENBERG

    (Electrical & Computer Engineering, Colorado State University, Fort Collins, CO 80523, USA;
    Computer Science, Northeastern University, Boston, MA 02115, USA)

Abstract

Problems involving path planning, exploration, and related activities abound in the world of computing. This paper develops a novel model for realizing ant-inspired algorithms that coordinate robots within fixed, geographically constrained environments ("factory/laboratory/warehouse floors") and studies the model via sample tasks that illustrate various aspects of path planning and exploration. The model, dubbed aCellular ANTomaton(C-ANTomaton, for short), inverts the relationship between ant-robots and the environments that they navigate:"Intelligence" now resides in the "floor" rather than in the ant-robots.The C-ANTomaton model is illustrated via three proof-of-concept problems: (1)Parkingrequires ant-robots to congregate in their nearest corners of the "floor," in a maximally compact formation. (2)Food-seeking(both with and without impenetrable obstacles) requires each ant-robot to find its own "food" item, until either "foodless" ant-robots or unclaimed "food" items run out. (3)Maze-threadingrequires a single ant-robot to find the unique exit to a maze. "Unintelligent" C-ANTomaton-based robots accomplish all of these goals provably more efficiently than traditional "intelligent" ant-robots can; indeed, "intelligent" ant-robots cannot always park at all! All of the presented algorithms arescalable, in that they provably work for any number of ant-robots, within any finite-size "floor." In other words, the computers that collectively supply the system with "intelligence" never exploit any information about either the number of ant-robots or the size of the "floor."

Suggested Citation

  • Arnold L. Rosenberg, 2012. "Cellular Antomata," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 1-28.
    • Handle: RePEc:wsi:acsxxx:v:15:y:2012:i:06:n:s0219525912500701
    DOI: 10.1142/S0219525912500701
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