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A 2-Dimensional Cellular Automaton For Agents Moving From Origins To Destinations

Author

Listed:
  • NAJEM MOUSSA

    (EMSN, Dépt. de Physique, FST, B. P. 509, Boutalamine, Errachidia, Morocco)

Abstract

We develop a two-dimensional cellular automaton (CA) as a simple model for agents moving from origins to destinations. Each agent moves towards an empty neighbor site corresponding to the minimal distance to its destination. The stochasticity or noise(p)is introduced in the model dynamics, through the uncertainty in estimating the distance from the destination. The friction parameter "μ" is also introduced to control the probability that movement of all involved agents to the same site (conflict) is denied at each time step. This model displays two states; namely the freely moving and the jamming state. If μ is large andpis low, the system is in the jamming state even if the density is low. However, if μ is large andpis high, a freely moving state takes place whenever the density is low. The cluster size and the travel time distributions in the two states are studied in detail. We find that only very small clusters are present in the freely moving state, while the jamming state displays a bimodal distribution. At low densities, agents can take a very long time to reach their destinations if μ is large andpis low (jamming state); but long travel times are suppressed ifpbecomes large (freely moving state).

Suggested Citation

  • Najem Moussa, 2005. "A 2-Dimensional Cellular Automaton For Agents Moving From Origins To Destinations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(12), pages 1849-1860.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:12:n:s0129183105008370
    DOI: 10.1142/S0129183105008370
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